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  1. Holism, Physical Theories and Quantum Mechanics.Michael Patrick Seevinck - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (4):693-712.
    Motivated by the question what it is that makes quantum mechanics a holistic theory, I try to define for general physical theories what we mean by `holism'. For this purpose I propose an epistemological criterion to decide whether or not a physical theory is holistic, namely: a physical theory is holistic if and only if it is impossible in principle to infer the global properties, as assigned in the theory, by local resources available to an agent. I propose that these (...)
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  • Quantum Information Theory and the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2013 - Oxford University Press.
    Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
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  • Aspects of Entanglement in Quantum Many-Body Systems.John W. Clark, Hessam Habibian, Aikaterini D. Mandilara & Manfred L. Ristig - 2010 - Foundations of Physics 40 (9-10):1200-1220.
    Knowledge of the entanglement properties of the wave functions commonly used to describe quantum many-particle systems can enhance our understanding of their correlation structure and provide new insights into quantum phase transitions that are observed experimentally or predicted theoretically. To illustrate this theme, we first examine the bipartite entanglement contained in the wave functions generated by microscopic many-body theory for the transverse Ising model, a system of Pauli spins on a lattice that exhibits an order-disorder magnetic quantum phase transition under (...)
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  • Quantum Algorithms: Philosophical Lessons.Amit Hagar - 2007 - Minds and Machines 17 (2):233-247.
    I discuss the philosophical implications that the rising new science of quantum computing may have on the philosophy of computer science. While quantum algorithms leave the notion of Turing-Computability intact, they may re-describe the abstract space of computational complexity theory hence militate against the autonomous character of some of the concepts and categories of computer science.
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  • Practical Intractability: A Critique of the Hypercomputation Movement. [REVIEW]Aran Nayebi - 2014 - Minds and Machines 24 (3):275-305.
    For over a decade, the hypercomputation movement has produced computational models that in theory solve the algorithmically unsolvable, but they are not physically realizable according to currently accepted physical theories. While opponents to the hypercomputation movement provide arguments against the physical realizability of specific models in order to demonstrate this, these arguments lack the generality to be a satisfactory justification against the construction of any information-processing machine that computes beyond the universal Turing machine. To this end, I present a more (...)
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  • Assertoric Semantics and the Computational Power of Self-Referential Truth.Stefan Wintein - 2012 - Journal of Philosophical Logic 41 (2):317-345.
    There is no consensus as to whether a Liar sentence is meaningful or not. Still, a widespread conviction with respect to Liar sentences (and other ungrounded sentences) is that, whether or not they are meaningful, they are useless . The philosophical contribution of this paper is to put this conviction into question. Using the framework of assertoric semantics , which is a semantic valuation method for languages of self-referential truth that has been developed by the author, we show that certain (...)
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  • The Toffoli-Hadamard Gate System: An Algebraic Approach.Maria Luisa Dalla Chiara, Antonio Ledda, Giuseppe Sergioli & Roberto Giuntini - 2013 - Journal of Philosophical Logic 42 (3):467-481.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. The basic algebraic properties of this system have been studied in Dalla Chiara et al. (Foundations of Physics 39(6):559–572, 2009), where we have introduced the notion of Shi-Aharonov quantum computational structure. In this paper we propose an algebraic abstraction from the Hilbert-space quantum computational structures, by introducing the notion of Toffoli-Hadamard algebra. From an intuitive point of (...)
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  • Quantum Gravity on a Quantum Computer?Achim Kempf - 2014 - Foundations of Physics 44 (5):472-482.
    EPR-type measurements on spatially separated entangled spin qubits allow one, in principle, to detect curvature. Also the entanglement of the vacuum state is affected by curvature. Here, we ask if the curvature of spacetime can be expressed entirely in terms of the spatial entanglement structure of the vacuum. This would open up the prospect that quantum gravity could be simulated on a quantum computer and that quantum information techniques could be fully employed in the study of quantum gravity.
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  • Quantum Control in Foundational Experiments.Lucas C. Céleri, Rafael M. Gomes, Radu Ionicioiu, Thomas Jennewein, Robert B. Mann & Daniel R. Terno - 2014 - Foundations of Physics 44 (5):576-587.
    We describe a new class of experiments designed to probe the foundations of quantum mechanics. Using quantum controlling devices, we show how to attain a freedom in temporal ordering of the control and detection of various phenomena. We consider wave–particle duality in the context of quantum-controlled and the entanglement-assisted delayed-choice experiments. Then we discuss a quantum-controlled CHSH experiment and measurement of photon’s transversal position and momentum in a single set-up.
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  • Imperfect Cloning Operations in Algebraic Quantum Theory.Yuichiro Kitajima - 2015 - Foundations of Physics 45 (1):62-74.
    No-cloning theorem says that there is no unitary operation that makes perfect clones of non-orthogonal quantum states. The objective of the present paper is to examine whether an imperfect cloning operation exists or not in a C*-algebraic framework. We define a universal \ -imperfect cloning operation which tolerates a finite loss \ of fidelity in the cloned state, and show that an individual system’s algebra of observables is abelian if and only if there is a universal \ -imperfect cloning operation (...)
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  • Wave–Particle Duality: An Information-Based Approach.R. M. Angelo & A. D. Ribeiro - 2015 - Foundations of Physics 45 (11):1407-1420.
    Recently, Bohr’s complementarity principle was assessed in setups involving delayed choices. These works argued in favor of a reformulation of the aforementioned principle so as to account for situations in which a quantum system would simultaneously behave as wave and particle. Here we defend a framework that, supported by well-known experimental results and consistent with the decoherence paradigm, allows us to interpret complementarity in terms of correlations between the system and an informer. Our proposal offers formal definition and operational interpretation (...)
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  • Quantum Uniqueness.Denis Sych & Gerd Leuchs - 2015 - Foundations of Physics 45 (12):1613-1619.
    Classical physics allows for the existence of pairs of absolutely identical systems. Pairwise application of identical measurements to each of those systems always leads to exactly alike results irrespectively of the choice of measurements. Here we ask a question how the picture looks like in the quantum domain. Surprisingly, we get a counterintuitive outcome. Pairwise application of identical measurements cannot always lead to exactly alike results. We interpret this as quantum uniqueness—a feature that has no classical analog.
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  • Deformed Entropy and Information Relations for Composite and Noncomposite Systems.Vladimir N. Chernega, Olga V. Man’ko & Vladimir I. Man’ko - 2015 - Foundations of Physics 45 (7):783-798.
    The notion of conditional entropy is extended to noncomposite systems. The \-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki–Lieb inequality is found for systems without subsystems.
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  • A Complete Graphical Calculus for Spekkens’ Toy Bit Theory.Miriam Backens & Ali Nabi Duman - 2016 - Foundations of Physics 46 (1):70-103.
    While quantum theory cannot be described by a local hidden variable model, it is nevertheless possible to construct such models that exhibit features commonly associated with quantum mechanics. These models are also used to explore the question of \-ontic versus \-epistemic theories for quantum mechanics. Spekkens’ toy theory is one such model. It arises from classical probabilistic mechanics via a limit on the knowledge an observer may have about the state of a system. The toy theory for the simplest possible (...)
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  • Pilot-Wave Quantum Theory with a Single Bohm’s Trajectory.Francesco Avanzini, Barbara Fresch & Giorgio J. Moro - 2016 - Foundations of Physics 46 (5):575-605.
    The representation of a quantum system as the spatial configuration of its constituents evolving in time as a trajectory under the action of the wave-function, is the main objective of the de Broglie–Bohm theory. However, its standard formulation is referred to the statistical ensemble of its possible trajectories. The statistical ensemble is introduced in order to establish the exact correspondence between the probability density on the spatial configurations and the quantum distribution, that is the squared modulus of the wave-function. In (...)
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  • Oracles and Query Lower Bounds in Generalised Probabilistic Theories.Howard Barnum, Ciarán M. Lee & John H. Selby - 2018 - Foundations of Physics 48 (8):954-981.
    We investigate the connection between interference and computational power within the operationally defined framework of generalised probabilistic theories. To compare the computational abilities of different theories within this framework we show that any theory satisfying four natural physical principles possess a well-defined oracle model. Indeed, we prove a subroutine theorem for oracles in such theories which is a necessary condition for the oracle model to be well-defined. The four principles are: causality, purification, strong symmetry, and informationally consistent composition. Sorkin has (...)
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  • Hiding Quantum Data.David P. DiVincenzo, Patrick Hayden & Barbara M. Terhal - 2003 - Foundations of Physics 33 (11):1629-1647.
    Recent work has shown how to use the laws of quantum mechanics to keep classical and quantum bits secret in a number of different circumstances. Among the examples are private quantum channels, quantum secret sharing and quantum data hiding. In this paper we show that a method for keeping two classical bits hidden in any such scenario can be used to construct a method for keeping one quantum bit hidden, and vice–versa. In the realm of quantum data hiding, this allows (...)
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  • Quantum Pseudo-Telepathy.Gilles Brassard, Anne Broadbent & Alain Tapp - 2005 - Foundations of Physics 35 (11):1877-1907.
    Quantum information processing is at the crossroads of physics, mathematics and computer science. It is concerned with what we can and cannot do with quantum information that goes beyond the abilities of classical information processing devices. Communication complexity is an area of classical computer science that aims at quantifying the amount of communication necessary to solve distributed computational problems. Quantum communication complexity uses quantum mechanics to reduce the amount of communication that would be classically required.Pseudo-telepathy is a surprising application of (...)
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  • Fermionic Linear Optics Revisited.David P. DiVincenzo & Barbara M. Terhal - 2005 - Foundations of Physics 35 (12):1967-1984.
    We provide an alternative view of the efficient classical simulatibility of fermionic linear optics in terms of Slater determinants. We investigate the generic effects of two-mode measurements on the Slater number of fermionic states. We argue that most such measurements are not capable (in conjunction with fermion linear optics) of an efficient exact implementation of universal quantum computation. Our arguments do not apply to the two-mode parity measurement, for which exact quantum computation becomes possible.
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  • Nonlocality and Information Flow: The Approach of Deutsch and Hayden. [REVIEW]Christopher Gordon Timpson - 2003 - Foundations of Physics 35 (2):313-343.
    Deutsch and Hayden claim to have provided an account of quantum mechanics which is particularly local, and which clarifies the nature of information transmission in entangled quantum systems. In this paper, a perspicuous description of their formalism is offered and their claim assessed. It proves essential to distinguish, as Deutsch and Hayden do not, between two ways of interpreting the formalism. On the first, conservative, interpretation, no benefits with respect to locality accrue that are not already available on either an (...)
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  • Reconstruction of Superoperators From Incomplete Measurements.Mário Ziman, Martin Plesch & Vladimír Buž zek - 2006 - Foundations of Physics 36 (1):127-156.
    We present strategies how to reconstruct (estimate) properties of a quantum channel described by the map E based on incomplete measurements. In a particular case of a qubit channel a complete reconstruction of the map E can be performed via complete tomography of four output states E[ρj] that originate from a set of four linearly independent “test” states ρj (j = 1,2,3,4) at the input of the channel. We study the situation when less than four linearly independent states are transmitted (...)
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  • A Survey of Finite Algebraic Geometrical Structures Underlying Mutually Unbiased Quantum Measurements.Michel Planat, Haret C. Rosu & Serge Perrine - 2006 - Foundations of Physics 36 (11):1662-1680.
    The basic methods of constructing the sets of mutually unbiased bases in the Hilbert space of an arbitrary finite dimension are reviewed and an emerging link between them is outlined. It is shown that these methods employ a wide range of important mathematical concepts like, e.g., Fourier transforms, Galois fields and rings, finite, and related projective geometries, and entanglement, to mention a few. Some applications of the theory to quantum information tasks are also mentioned.
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  • Quantum Mechanics on Finite Groups.Stan Gudder - 2006 - Foundations of Physics 36 (8):1160-1192.
    Although a few new results are presented, this is mainly a review article on the relationship between finite-dimensional quantum mechanics and finite groups. The main motivation for this discussion is the hidden subgroup problem of quantum computation theory. A unifying role is played by a mathematical structure that we call a Hilbert *-algebra. After reviewing material on unitary representations of finite groups we discuss a generalized quantum Fourier transform. We close with a presentation concerning position-momentum measurements in this framework.
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  • Explaining the Unobserved—Why Quantum Mechanics Ain’T Only About Information.Amit Hagar & Meir Hemmo - 2006 - Foundations of Physics 36 (9):1295-1234.
    A remarkable theorem by Clifton, Bub and Halvorson (2003) (CBH) characterizes quantum theory in terms of information--theoretic principles. According to Bub (2004, 2005) the philosophical significance of the theorem is that quantum theory should be regarded as a ``principle'' theory about (quantum) information rather than a ``constructive'' theory about the dynamics of quantum systems. Here we criticize Bub's principle approach arguing that if the mathematical formalism of quantum mechanics remains intact then there is no escape route from solving the measurement (...)
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  • Untangling Entanglement.Peter M. Ainsworth - 2007 - Foundations of Physics 37 (1):144-158.
    In this paper recent work that attempts to link quantum entanglement to (i) thermodynamic energy, (ii) thermodynamic entropy and (iii) information is reviewed. With respect to the first two links the paper is essentially expository. The final link is elaborated on: it is argued that the value of the entanglement of a bipartite system in a pure state is equal to the value of the irreducible uncertainty (i.e. irreducibly missing information) about its subsystems and that this suggests that entanglement gives (...)
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  • Entanglement of a Single Spin-1 Object: An Example of Ubiquitous Entanglement. [REVIEW]Sinem Binicioǧlu, M. Ali Can, Alexander A. Klyachko & Alexander S. Shumovsky - 2007 - Foundations of Physics 37 (8):1253-1277.
    Using a single spin-1 object as an example, we discuss a recent approach to quantum entanglement. [A.A. Klyachko and A.S. Shumovsky, J. Phys: Conf. Series 36, 87 (2006), E-print quant-ph/0512213]. The key idea of the approach consists in presetting of basic observables in the very definition of quantum system. Specification of basic observables defines the dynamic symmetry of the system. Entangled states of the system are then interpreted as states with maximal amount of uncertainty of all basic observables. The approach (...)
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  • Transition Effect Matrices and Quantum Markov Chains.Stan Gudder - 2009 - Foundations of Physics 39 (6):573-592.
    A transition effect matrix (TEM) is a quantum generalization of a classical stochastic matrix. By employing a TEM we obtain a quantum generalization of a classical Markov chain. We first discuss state and operator dynamics for a quantum Markov chain. We then consider various types of TEMs and vector states. In particular, we study invariant, equilibrium and singular vector states and investigate projective, bistochastic, invertible and unitary TEMs.
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  • Entanglement of Pure States.Stig Stenholm - 2009 - Foundations of Physics 39 (6):642-655.
    We consider the concept of entanglement for pure cases of finite dimensional state spaces. The criterion of unentangled states is related to demanding rank one of an associated eigenvalue problem. In addition to the conventional procedure based on the Schmidt decomposition, we devise a method based on the spectral resolution of unsymmetric matrices. In particular, we consider the case when all eigenvalues are zero, and find that the method still works.
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  • The Algebraic Structure of an Approximately Universal System of Quantum Computational Gates.Maria Luisa Dalla Chiara, Roberto Giuntini, Hector Freytes, Antonio Ledda & Giuseppe Sergioli - 2009 - Foundations of Physics 39 (6):559-572.
    Shi and Aharonov have shown that the Toffoli gate and the Hadamard gate give rise to an approximately universal set of quantum computational gates. We study the basic algebraic properties of this system by introducing the notion of Shi-Aharonov quantum computational structure. We show that the quotient of this structure is isomorphic to a structure based on a particular set of complex numbers $\end{document} and radius \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\frac{1}{2}$\end{document} ).
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  • An Introduction to Many Worlds in Quantum Computation.Clare Hewitt-Horsman - 2009 - Foundations of Physics 39 (8):869-902.
    The interpretation of quantum mechanics is an area of increasing interest to many working physicists. In particular, interest has come from those involved in quantum computing and information theory, as there has always been a strong foundational element in this field. This paper introduces one interpretation of quantum mechanics, a modern ‘many-worlds’ theory, from the perspective of quantum computation. Reasons for seeking to interpret quantum mechanics are discussed, then the specific ‘neo-Everettian’ theory is introduced and its claim as the best (...)
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  • Bell’s Correlations and Spin Systems.Martin Bohata & Jan Hamhalter - 2010 - Foundations of Physics 40 (8):1065-1075.
    The structure of maximal violators of Bell’s inequalities for Jordan algebras is investigated. It is proved that the spin factor V 2 is responsible for maximal values of Bell’s correlations in a faithful state. In this situation maximally correlated subsystems must overlap in a nonassociative subalgebra. For operator commuting subalgebras it is shown that maximal violators have the structure of the spin systems and that the global state (faithful on local subalgebras) acts as the trace on local subalgebras.
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  • Transition Probability (Fidelity) and Its Relatives.Armin Uhlmann - 2011 - Foundations of Physics 41 (3):288-298.
    Transition Probability (fidelity) for pairs of density operators can be defined as a “functor” in the hierarchy of “all” quantum systems and also within any quantum system. The Introduction of “amplitudes” for density operators allows for a more intuitive treatment of these quantities, also pointing to a natural parallel transport. The latter is governed by a remarkable gauge theory with strong relations to the Riemann-Bures metric.
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  • Trigonometry of Quantum States.Karl Gustafson - 2011 - Foundations of Physics 41 (3):450-465.
    Recently the geometry of quantum states has been under considerable development. Every good geometry deserves, if possible, an accompanying trigonometry. I will here introduce such a trigonometry to accompany the geometry of quantum states.
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  • Quantum Reality and Measurement: A Quantum Logical Approach.Masanao Ozawa - 2011 - Foundations of Physics 41 (3):592-607.
    The recently established universal uncertainty principle revealed that two nowhere commuting observables can be measured simultaneously in some state, whereas they have no joint probability distribution in any state. Thus, one measuring apparatus can simultaneously measure two observables that have no simultaneous reality. In order to reconcile this discrepancy, an approach based on quantum logic is proposed to establish the relation between quantum reality and measurement. We provide a language speaking of values of observables independent of measurement based on quantum (...)
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  • Quantum Locality.Robert B. Griffiths - 2011 - Foundations of Physics 41 (4):705-733.
    It is argued that while quantum mechanics contains nonlocal or entangled states, the instantaneous or nonlocal influences sometimes thought to be present due to violations of Bell inequalities in fact arise from mistaken attempts to apply classical concepts and introduce probabilities in a manner inconsistent with the Hilbert space structure of standard quantum mechanics. Instead, Einstein locality is a valid quantum principle: objective properties of individual quantum systems do not change when something is done to another noninteracting system. There is (...)
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  • Partial Measurements and the Realization of Quantum-Mechanical Counterfactuals.G. S. Paraoanu - 2011 - Foundations of Physics 41 (7):1214-1235.
    We propose partial measurements as a conceptual tool to understand how to operate with counterfactual claims in quantum physics. Indeed, unlike standard von Neumann measurements, partial measurements can be reversed probabilistically. We first analyze the consequences of this rather unusual feature for the principle of superposition, for the complementarity principle, and for the issue of hidden variables. Then we move on to exploring non-local contexts, by reformulating the EPR paradox, the quantum teleportation experiment, and the entanglement-swapping protocol for the situation (...)
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  • Prime Number Decomposition, the Hyperbolic Function and Multi-Path Michelson Interferometers.V. Tamma, C. O. Alley, W. P. Schleich & Y. H. Shih - 2012 - Foundations of Physics 42 (1):111-121.
    The phase φ of any wave is determined by the ratio x/λ consisting of the distance x propagated by the wave and its wavelength λ. Hence, the dependence of φ on λ constitutes an analogue system for the mathematical operation of division, that is to obtain the hyperbolic function f(ξ)≡1/ξ. We take advantage of this observation to decompose integers into primes and implement this approach towards factorization of numbers in a multi-path Michelson interferometer. This work is part of a larger (...)
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  • Addressing the Clumsiness Loophole in a Leggett-Garg Test of Macrorealism.Mark M. Wilde & Ari Mizel - 2012 - Foundations of Physics 42 (2):256-265.
    The rise of quantum information theory has lent new relevance to experimental tests for non-classicality, particularly in controversial cases such as adiabatic quantum computing superconducting circuits. The Leggett-Garg inequality is a “Bell inequality in time” designed to indicate whether a single quantum system behaves in a macrorealistic fashion. Unfortunately, a violation of the inequality can only show that the system is either (i) non-macrorealistic or (ii) macrorealistic but subjected to a measurement technique that happens to disturb the system. The “clumsiness” (...)
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  • Perfect State Distinguishability and Computational Speedups with Postselected Closed Timelike Curves.Todd A. Brun & Mark M. Wilde - 2012 - Foundations of Physics 42 (3):341-361.
    Bennett and Schumacher’s postselected quantum teleportation is a model of closed timelike curves (CTCs) that leads to results physically different from Deutsch’s model. We show that even a single qubit passing through a postselected CTC (P-CTC) is sufficient to do any postselected quantum measurement with certainty, and we discuss an important difference between “Deutschian” CTCs (D-CTCs) and P-CTCs in which the future existence of a P-CTC might affect the present outcome of an experiment. Then, based on a suggestion of Bennett (...)
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  • Stabilizer Notation for Spekkens' Toy Theory.Matthew F. Pusey - 2012 - Foundations of Physics 42 (5):688-708.
    Spekkens has introduced a toy theory (Spekkens in Phys. Rev. A 75(3):032110, 2007) in order to argue for an epistemic view of quantum states. I describe a notation for the theory (excluding certain joint measurements) which makes its similarities and differences with the quantum mechanics of stabilizer states clear. Given an application of the qubit stabilizer formalism, it is often entirely straightforward to construct an analogous application of the notation to the toy theory. This assists calculations within the toy theory, (...)
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  • Complementarity in Categorical Quantum Mechanics.Chris Heunen - 2012 - Foundations of Physics 42 (7):856-873.
    We relate notions of complementarity in three layers of quantum mechanics: (i) von Neumann algebras, (ii) Hilbert spaces, and (iii) orthomodular lattices. Taking a more general categorical perspective of which the above are instances, we consider dagger monoidal kernel categories for (ii), so that (i) become (sub)endohomsets and (iii) become subobject lattices. By developing a ‘point-free’ definition of copyability we link (i) commutative von Neumann subalgebras, (ii) classical structures, and (iii) Boolean subalgebras.
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  • Isolation and Information Flow in Quantum Dynamics.Benjamin Schumacher & Michael D. Westmoreland - 2012 - Foundations of Physics 42 (7):926-931.
    From the structure of quantum dynamics for closed and open systems, we describe several general results about information flow between interacting systems, which can be expressed in diagrammatic form. Conditions on information flow (e.g., that no information is transferred from system A to system B) imply that the overall dynamical evolution has a particular structure. We also remark that one simple type of two-qubit interaction, the unitary CNOT gate, cannot be represented by local operations and a single simultaneous information exchange.
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  • Information Theoretic Representations of Qubit Channels.Tanner Crowder & Keye Martin - 2012 - Foundations of Physics 42 (7):976-983.
    A set of qubit channels has a classical representation when it is isomorphic to the convex closure of a group of classical channels. From Crowder and Martin (Proceedings of Quantum Physics and Logic, Electronic Notes in Theoretical Computer Science, 2009), we know that up to isomorphism there are five such sets, each corresponding to either a subgroup of the alternating group on four letters, or a subgroup of the symmetric group on three letters. In this paper, we show that the (...)
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  • The Pauli Exclusion Principle. Can It Be Proved?I. G. Kaplan - 2013 - Foundations of Physics 43 (10):1233-1251.
    The modern state of the Pauli exclusion principle studies is discussed. The Pauli exclusion principle can be considered from two viewpoints. On the one hand, it asserts that particles with half-integer spin (fermions) are described by antisymmetric wave functions, and particles with integer spin (bosons) are described by symmetric wave functions. This is a so-called spin-statistics connection. The reasons why the spin-statistics connection exists are still unknown, see discussion in text. On the other hand, according to the Pauli exclusion principle, (...)
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  • Quantum and Classical Correlations in Quantum Measurement.Zhengjun Xi & Yongming Li - 2013 - Foundations of Physics 43 (3):285-293.
    We revisit quantum measurement when the apparatus is initially in a mixed state. We find that, in a particular restriction setup, the amount of entanglement between the system and the apparatus is given by the entropy increasing of the system under the measurement transformation. We show that the information gained is equal to the amount of entanglement under performing perfect measurement. Based on the perfect measurement, we give an upper bound of quantum discord.
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  • Classical Levels, Russellian Monism and the Implicate Order.William Seager - 2013 - Foundations of Physics 43 (4):548-567.
    Reception of the Bohm-Hiley interpretation of quantum mechanics has a curiously Janus faced quality. On the one hand, it is frequently derided as a conservative throwback to outdated classical patterns of thought. On the other hand, it is equally often taken to task for encouraging a wild quantum mysticism, often regarded as anti-scientific. I will argue that there are reasons for this reception, but that a proper appreciation of the dual scientific and philosophical aspects of the view reveals a powerful (...)
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  • A Locally Deterministic, Detector-Based Model of Quantum Measurement.Brian R. La Cour - 2014 - Foundations of Physics 44 (10):1059-1084.
    This paper describes a simple, causally deterministic model of quantum measurement based on an amplitude threshold detection scheme. Surprisingly, it is found to reproduce many phenomena normally thought to be uniquely quantum in nature. To model an \(N\) -dimensional pure state, the model uses \(N\) complex random variables given by a scaled version of the wave vector with additive complex noise. Measurements are defined by threshold crossings of the individual components, conditioned on single-component threshold crossings. The resulting detection probabilities match (...)
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  • Characterizing Entropy in Statistical Physics and in Quantum Information Theory.Bernhard Baumgartner - 2014 - Foundations of Physics 44 (10):1107-1123.
    A new axiomatic characterization with a minimum of conditions for entropy as a function on the set of states in quantum mechanics is presented. Traditionally unspoken assumptions are unveiled and replaced by proven consequences of the axioms. First the Boltzmann–Planck formula is derived. Building on this formula, using the Law of Large Numbers—a basic theorem of probability theory—the von Neumann formula is deduced. Axioms used in older theories on the foundations are now derived facts.
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  • Generalized Quantum Theory: Overview and Latest Developments. [REVIEW]Thomas Filk & Hartmann Römer - 2011 - Axiomathes 21 (2):211-220.
    The main formal structures of generalized quantum theory are summarized. Recent progress has sharpened some of the concepts, in particular the notion of an observable, the action of an observable on states (putting more emphasis on the role of proposition observables), and the concept of generalized entanglement. Furthermore, the active role of the observer in the structure of observables and the partitioning of systems is emphasized.
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  • Putting Probabilities First. How Hilbert Space Generates and Constrains Them.Michael Janas, Michael Cuffaro & Michel Janssen - manuscript
    We use Bub's (2016) correlation arrays and Pitowksy's (1989b) correlation polytopes to analyze an experimental setup due to Mermin (1981) for measurements on the singlet state of a pair of spin-12 particles. The class of correlations allowed by quantum mechanics in this setup is represented by an elliptope inscribed in a non-signaling cube. The class of correlations allowed by local hidden-variable theories is represented by a tetrahedron inscribed in this elliptope. We extend this analysis to pairs of particles of arbitrary (...)
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