Results for 'Quantum correlation and Quantum retrocausality'

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  1.  27
    Highlighting the Mechanism of the Quantum Speedup by Time-Symmetric and Relational Quantum Mechanics.Giuseppe Castagnoli - 2016 - Foundations of Physics 46 (3):360-381.
    Bob hides a ball in one of four drawers. Alice is to locate it. Classically she has to open up to three drawers, quantally just one. The fundamental reason for this quantum speedup is not known. The usual representation of the quantum algorithm is limited to the process of solving the problem. We extend it to the process of setting the problem. The number of the drawer with the ball becomes a unitary transformation of the random outcome of (...)
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  2.  10
    Two-Particle Asynchronous Quantum Correlation: Wavefunction Collapse Acting as a Beamsplitter.F. V. Kowalski & R. S. Browne - 2016 - Foundations of Physics 46 (3):300-329.
    A two-body quantum correlation is calculated for a particle reflecting from a moving mirror. Correlated interference results when the incident and reflected particle substates and their associated mirror substates overlap. Using the Copenhagen interpretation of measurement, an asynchronous joint probability density, which is a function both of the different positions and different times at which the particle and mirror are measured, is derived assuming that no interaction occurs between each measurement. Measurement of the particle first, in the correlated (...)
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  3.  31
    The Creation, Discovery, View: Towards a Possible Explanation of Quantum Reality.Towards A. Possible Explanation Of Quantum - 1999 - In Maria Luisa Dalla Chiara (ed.), Language, Quantum, Music. pp. 105.
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  4.  52
    Fine's Prism Models for Quantum Correlation Statistics.W. D. Sharp & N. Shanks - 1985 - Philosophy of Science 52 (4):538-564.
    Arthur Fine's use of prism models to provide local and deterministic accounts of quantum correlation experiments is presented and analyzed in some detail. Fine's claim that "there is... no question of the consistency of prism models... with the quantum theory" (forthcoming, p. 16) is disputed. Our criticisms are threefold: (1) consideration of the possibility of additional analyzer positions shows that prism models entail unacceptably high rejection rates in the relevant experiments; (2) similar considerations show that the models (...)
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  5. Quantum Mechanics and Retrocausality.David Atkinson - manuscript
    The classical electrodynamics of point charges can be made finite by the introduction of effects that temporally precede their causes. The idea of retrocausality is also inherent in the Feynman propagators of quantum electrodynamics. The notion allows a new understanding of the violation of the Bell inequalities, and of the world view revealed by quantum mechanics. Published in The Universe, Visions and Perspectives, edited by N. Dadhich and A. Kembhavi, Kluwer Academic Publishers, 2000, pages 35-50.
     
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  6. Does Time-Symmetry Imply Retrocausality? How the Quantum World Says “Maybe”?Huw Price - 2012 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):75-83.
    It has often been suggested that retrocausality offers a solution to some of the puzzles of quantum mechanics: e.g., that it allows a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum nonlocality, without action-at-a-distance. Some writers have argued that time-symmetry counts in favour of such a view, in the sense that retrocausality would be a natural consequence of a truly time-symmetric theory of the quantum world. Critics object that there is complete time-symmetry in (...)
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  7.  90
    Time-Symmetry Without Retrocausality: How the Quantum Can Withhold the Solace.Huw Price - unknown
    It has been suggested that some of the puzzles of QM are resolved if we allow that there is retrocausality in the quantum world. In particular, it has been claimed that this approach offers a path to a Lorentz-invariant explanation of Bell correlations, and other manifestations of quantum "nonlocality", without action-at-a-distance. Some writers have suggested that this proposal can be supported by an appeal to time-symmetry, claiming that if QM were made "more time-symmetric", retrocausality would be (...)
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  8.  19
    Quantum Causal Models, Faithfulness, and Retrocausality.Peter W. Evans - 2018 - British Journal for the Philosophy of Science 69 (3):745-774.
    Wood and Spekkens argue that any causal model explaining the EPRB correlations and satisfying the no-signalling constraint must also violate the assumption that the model faithfully reproduces the statistical dependences and independences—a so-called ‘fine-tuning’ of the causal parameters. This includes, in particular, retrocausal explanations of the EPRB correlations. I consider this analysis with a view to enumerating the possible responses an advocate of retrocausal explanations might propose. I focus on the response of Näger, who argues that the central ideas of (...)
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  9. An Interpretation of Quantum Correlation at a Distance Based on the Philosophy of Organism.Yutaka Tanaka - forthcoming - Annals of the Japan Association for Philosophy of Science.
  10. Retrocausality and Quantum Measurement.David T. Pegg - 2008 - Foundations of Physics 38 (7):648-658.
    A retrocausal interpretation of quantum mechanics is examined and is applied to the problem of measuring an optical qubit before the qubit is actually created. Although the predictions of the retrocausal interpretation are the same as for the conventional causal picture, it provides a new perspective which should give a useful way of understanding some quantum mechanical processes.
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  11. Generic Bell Correlation Between Arbitrary Local Algebras in Quantum Field Theory.with Hans Halvorson - 2004 - In Jeremy Butterfield & Hans Halvorson (eds.), Quantum Entanglements: Selected Papers. Clarendon Press.
     
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  12.  8
    Retrocausality and Quantum Mechanics.David Thomas Pegg - 2008 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 39 (4):830-840.
  13.  4
    Coulomb Repulsive Correlation in Systems with Radial Confinement: Quantum Dots and the Overhauser Model in an External Magnetic Field.A. A. Avetisyan, K. Moulopoulos & A. P. Djotyan - 2006 - Philosophical Magazine 86 (17-18):2493-2509.
  14.  94
    Evidence of Macroscopic Quantum Phenomena and Conscious Reality Selection.Cynthia Sue Larson - 2014 - Cosmos and History 10 (1):34-47.
    The purpose of this paper is to present an overview of emergent examples of macroscopic quantum phenomena. While quantum theory asserts that such quantum behaviors as superposition, entanglement, and coherence are possible for all objects, assumptions that quantum processes operate exclusively within the quantum realm have contributed to on-going bias toward presumed primacy of classical physics in the macroscopic realm. Non-trivial quantum macroscopic effects are now recognized in the fields of biology, quantum physics, (...)
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  15. Why Delayed Choice Experiments Do NOT Imply Retrocausality.David Ellerman - 2015 - Quantum Studies: Mathematics and Foundations 2 (2):183-199.
    There is a fallacy that is often involved in the interpretation of quantum experiments involving a certain type of separation such as the: double-slit experiments, which-way interferometer experiments, polarization analyzer experiments, Stern-Gerlach experiments, and quantum eraser experiments. The fallacy leads not only to flawed textbook accounts of these experiments but to flawed inferences about retrocausality in the context of delayed choice versions of separation experiments.
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  16. Retrocausality at No Extra Cost.Peter William Evans - 2015 - Synthese 192 (4):1139-1155.
    One obstacle faced by proposals of retrocausal influences in quantum mechanics is the perceived high conceptual cost of making such a proposal. I assemble here a metaphysical picture consistent with the possibility of retrocausality and not precluded by the known physical structure of our reality. This picture employs two relatively well-established positions—the block universe model of time and the interventionist account of causation—and requires the dismantling of our ordinary asymmetric causal intuition and our ordinary intuition about epistemic access (...)
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  17.  17
    Structures of Three Types of Local Quantum Channels Based on Quantum Correlations.Zhihua Guo, Huaixin Cao & Shixian Qu - 2015 - Foundations of Physics 45 (4):355-369.
    In a bipartite quantum system, quantum states are classified as classically correlated and quantum correlated states, the later are important resources of quantum information and computation protocols. Since correlations of quantum states may vary under a quantum channel, it is necessary to explore the influence of quantum channels on correlations of quantum states. In this paper, we discuss CC-preserving, QC-breaking and strongly CC-preserving local quantum channels of the form \ and obtain (...)
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  18.  32
    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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  19.  17
    Lagrangian Description for Particle Interpretations of Quantum Mechanics: Single-Particle Case.Roderick I. Sutherland - 2015 - Foundations of Physics 45 (11):1454-1464.
    A Lagrangian description is presented which can be used in conjunction with particle interpretations of quantum mechanics. A special example of such an interpretation is the well-known Bohm model. The Lagrangian density introduced here also contains a potential for guiding the particle. The advantages of this description are that the field equations and the particle equations of motion can both be deduced from a single Lagrangian density expression and that conservation of energy and momentum are assured. After being developed (...)
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  20. On the Possibility of Ontological Models of Quantum Mechanics.D. J. Miller & Matt Farr - manuscript
    It is an unresolved question in quantum mechanics whether quantum states apply to individual quantum systems, or to ensembles of quantum systems. We show by way of a thought experiment that quantum states apply only to ensembles of quantum systems. A further unresolved question is whether quantum systems possess ontic states. If a quantum state is the state of an ensemble, as we claim, the answer to this question is that quantum (...)
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  21.  10
    Mental, Behavioural and Physiological Nonlocal Correlations Within the Generalized Quantum Theory Framework.Harald Walach, Patrizio Tressoldi & Luciano Pederzoli - 2016 - Axiomathes 26 (3):313-328.
    Generalized Quantum Theory seeks to explain and predict quantum-like phenomena in areas usually outside the scope of quantum physics, such as biology and psychology. It draws on fundamental theories and uses the algebraic formalism of quantum theory that is used in the study of observable physical matter such as photons, electrons, etc. In contrast to quantum theory proper, GQT is a very generalized form that does not allow for the full application of formalism. For instance (...)
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  22.  95
    Objectivity Vs. Locality in Quantum Physics.Ernst-Walther Stachow - 2010 - Foundations of Physics 40 (9-10):1450-1475.
    An Objectivity Principle (O) and a Locality Principle (L) are considered with respect to two simple, but fundamental Gedanken experiments, namely a “Welcher-Weg” Gedanken experiment and an Einstein-Podolsky-Rosen (EPR) Gedanken experiment. It is shown that, if both principles (O) and (L) are assumed to be valid, a contradiction, in the EPR case Bell’s inequality, can be derived implying that at least one of the two principles (O) and (L) has to be denied. It is shown that, if (O) is denied, (...)
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  23.  11
    Quantum Deep Learning Triuniverse.Angus McCoss - 2016 - Journal of Quantum Information Science 6 (4).
    An original quantum foundations concept of a deep learning computational Universe is introduced. The fundamental information of the Universe (or Triuniverse)is postulated to evolve about itself in a Red, Green and Blue (RGB) tricoloured stable self-mutuality in three information processing loops. The colour is a non-optical information label. The information processing loops form a feedback-reinforced deep learning macrocycle with trefoil knot topology. Fundamental information processing is driven by ψ-Epistemic Drive, the Natural appetite for information selected for advantageous knowledge. From (...)
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  24. Quantum Mechanical EPRBA Covariance and Classical Probability.Han Geurdes - manuscript
    Contrary to Bell’s theorem it is demonstrated that with the use of classical probability theory the quantum correlation can be approximated. Hence, one may not conclude from experiment that all local hidden variable theories are ruled out by a violation of inequality result.
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  25.  13
    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 (...)
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  26.  42
    Local Primitive Causality and the Common Cause Principle in Quantum Field Theory.Miklos Redei & Stephen J. Summers - 2001 - Foundations of Physics 32 (3):335-355.
    If $\mathcal{A}$ (V) is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system ( $\mathcal{A}$ (V 1 ), $\mathcal{A}$ (V 2 ), φ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A∈ $\mathcal{A}$ (V 1 ), B∈ $\mathcal{A}$ (V 2 ) correlated in the normal state φ there exists a projection (...)
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  27.  58
    Origin of Quantum Mechanical Results and Life: A Clue From Quantum Biology.Biswaranjan Dikshit - 2018 - Neuroquantology 16 (4):26-33.
    Although quantum mechanics can accurately predict the probability distribution of outcomes in an ensemble of identical systems, it cannot predict the result of an individual system. All the local and global hidden variable theories attempting to explain individual behavior have been proved invalid by experiments (violation of Bell’s inequality) and theory. As an alternative, Schrodinger and others have hypothesized existence of free will in every particle which causes randomness in individual results. However, these free will theories have failed to (...)
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  28.  18
    Does Time Exist in Quantum Gravity?Claus Kiefer - 2015 - Zagadnienia Filozoficzne W Nauce 59:7-24.
    Time is absolute in standard quantum theory and dynamical in general relativity. The combination of both theories into a theory of quantum gravity leads therefore to a “problem of time”. In my essay, I investigate those consequences for the concept of time that may be drawn without a detailed knowledge of quantum gravity. The only assumptions are the experimentally supported universality of the linear structure of quantum theory and the recovery of general relativity in the classical (...)
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  29.  26
    Manifestly Covariant Quantum Theory with Invariant Evolution Parameter in Relativistic Dynamics.John R. Fanchi - 2011 - Foundations of Physics 41 (1):4-32.
    Manifestly covariant quantum theory with invariant evolution parameter is a parametrized relativistic dynamical theory. The study of parameterized relativistic dynamics (PRD) helps us understand the consequences of changing key assumptions of quantum field theory (QFT). QFT has been very successful at explaining physical observations and is the basis of the conventional paradigm, which includes the Standard Model of electroweak and strong interactions. Despite its record of success, some phenomena are anomalies that may require a modification of the Standard (...)
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  30.  89
    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 (...) phase transition under variation of the coupling parameter. Results for the single-site entanglement and measures of two-site bipartite entanglement are obtained for optimal wave functions of Jastrow-Hartree type. Second, we address the nature of bipartite and tripartite entanglement of spins in the ground state of the noninteracting Fermi gas, through analysis of its two- and three-fermion reduced density matrices. The presence of genuine tripartite entanglement is established and characterized by implementation of suitable entanglement witnesses and stabilizer operators. We close with a broader discussion of the relationships between the entanglement properties of strongly interacting systems of identical quantum particles and the dynamical and statistical correlations entering their wave functions. (shrink)
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  31.  58
    Contrasting Classical and Quantum Vacuum States in Non-Inertial Frames.Timothy H. Boyer - 2013 - Foundations of Physics 43 (8):923-947.
    Classical electron theory with classical electromagnetic zero-point radiation (stochastic electrodynamics) is the classical theory which most closely approximates quantum electrodynamics. Indeed, in inertial frames, there is a general connection between classical field theories with classical zero-point radiation and quantum field theories. However, this connection does not extend to noninertial frames where the time parameter is not a geodesic coordinate. Quantum field theory applies the canonical quantization procedure (depending on the local time coordinate) to a mirror-walled box, and, (...)
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  32.  34
    Quantum and Concept Combination, Entangled Measurements, and Prototype Theory.Diederik Aerts - 2014 - Topics in Cognitive Science 6 (1):129-137.
    We analyze the meaning of the violation of the marginal probability law for situations of correlation measurements where entanglement is identified. We show that for quantum theory applied to the cognitive realm such a violation does not lead to the type of problems commonly believed to occur in situations of quantum theory applied to the physical realm. We briefly situate our quantum approach for modeling concepts and their combinations with respect to the notions of “extension” and (...)
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  33.  1
    The Urgency of Islam Toward the Epistemology of Quantum Scientific.Nurkhalis Nurkhalis - 2019 - Epistemé: Jurnal Pengembangan Ilmu Keislaman 13 (2):381-406.
    The development of modernity has caused a clash of epistemology. Epistemology cannot be separated from evaluation, normative or critical discipline.Epistemology will often fall into subjectivity principles based on individual freedom. The existence epistemology of Islam is more on the problem of harmonious integration and synthesis between God’s and human knowledge or another term correlation of sharia and reason. Scientific epistemology includes two forms namely descriptive and normative. Normative scientific epistemology as an ordinary epistemic assessment, while descriptive scientific epistemology, which (...)
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  34.  15
    Spin-Statistics Transmutation in Quantum Field Theory.P. A. Marchetti - 2010 - Foundations of Physics 40 (7):746-764.
    Spin-statistics transmutation is the phenomenon occurring when a “dressing” transformation introduced for physical reasons (e.g. gauge invariance) modifies the “bare” spin and statistics of particles or fields. Historically, it first appeared in Quantum Mechanics and in semiclassical approximation to Quantum Field Theory. After a brief historical introduction, we sketch how to describe such phenomenon in Quantum Field Theory beyond the semiclassical approximation, using a path-integral formulation of euclidean correlation functions, exemplifying with anyons, dyons and skyrmions.
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  35.  43
    Philosophy of Quantum Information and Entanglement.Alisa Bokulich & Gregg Jaeger (eds.) - 2010 - Cambridge University Press.
    "Entanglement can be understood as an extraordinary degree of correlation between states of quantum systems - a correlation that cannot be given an explanation ...
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  36. Toy Models for Retrocausality.Huw Price - 2008 - Studies in Studies in History and Philosophy of Modern Physics 39 (4):752-761.
    A number of writers have been attracted to the idea that some of the peculiarities of quantum theory might be manifestations of 'backward' or 'retro' causality, underlying the quantum description. This idea has been explored in the literature in two main ways: firstly in a variety of explicit models of quantum systems, and secondly at a conceptual level. This note introduces a third approach, intended to complement the other two. It describes a simple toy model, which, under (...)
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  37.  80
    Some Local Models for Correlation Experiments.Arthur Fine - 1982 - Synthese 50 (2):279 - 294.
    This paper constructs two classes of models for the quantum correlation experiments used to test the Bell-type inequalities, synchronization models and prism models. Both classes employ deterministic hidden variables, satisfy the causal requirements of physical locality, and yield precisely the quantum mechanical statistics. In the synchronization models, the joint probabilities, for each emission, do not factor in the manner of stochastic independence, showing that such factorizability is not required for locality. In the prism models the observables are (...)
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  38. On the Geometry of Quantum Correlations.Itamar Pitowsky - unknown
    Consider the set Q of quantum correlation vectors for two observers, each with two possible binary measurements. Quadric (hyperbolic) inequalities which are satis…ed by every q 2 Q are proved, and equality holds on a two dimensional manifold consisting of the local boxes, and all..
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  39.  86
    Farkas's Lemma and the Nature of Reality: Statistical Implications of Quantum Correlations. [REVIEW]Anupam Garg & N. D. Mermin - 1984 - Foundations of Physics 14 (1):1-39.
    A general algorithm is given for determining whether or not a given set of pair distributions allows for the construction of all the members of a specified set of higher-order distributions which return the given pair distributions as marginals. This mathematical question underlies studies of quantum correlation experiments such as those of Bell or of Clauser and Horne, or their higher-spin generalizations. The algorithm permits the analysis of rather intricate versions of such problems, in a form readily adaptable (...)
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  40.  91
    Stronger-Than-Quantum Correlations.G. Krenn & K. Svozil - 1998 - Foundations of Physics 28 (6):971-984.
    After an elementary derivation of Bell's inequality, classical, quantum mechanical, and stronger-than-quantum correlation functions for 2-particle-systems are discussed. Special functions are investigated which give rise to an extreme violation of Bell's inequality by the value of 4. Referring to a specific quantum system it is shown that under certain conditions such an extreme violation would contradict basic laws of physics.
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  41.  12
    Quantum Bit Commitment and the Reality of the Quantum State.R. Srikanth - 2018 - Foundations of Physics 48 (1):92-109.
    Quantum bit commitment is insecure in the standard non-relativistic quantum cryptographic framework, essentially because Alice can exploit quantum steering to defer making her commitment. Two assumptions in this framework are that: Alice knows the ensembles of evidence E corresponding to either commitment; and system E is quantum rather than classical. Here, we show how relaxing assumption or can render her malicious steering operation indeterminable or inexistent, respectively. Finally, we present a secure protocol that relaxes both assumptions (...)
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  42.  6
    Dreaming Consciousness Explored.B. Gardiner Judy - 2017 - Cosmos and History 13 (2):141-165.
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  43.  10
    Emergent Quantum Mechanics : David Bohm Centennial Perspectives.Jan Walleczek, Gerhard Grössing, Paavo Pylkkänen & Basil Hiley - 2019 - Entropy 21 (2).
    Emergent quantum mechanics explores the possibility of an ontology for quantum mechanics. The resurgence of interest in realist approaches to quantum mechanics challenges the standard textbook view, which represents an operationalist approach. The possibility of an ontological, i.e., realist, quantum mechanics was first introduced with the original de Broglie-Bohm theory, which has also been developed in another context as Bohmian mechanics. This Editorial introduces a Special Issue featuring contributions which were invited as part of the David (...)
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  44. Understanding Memories of a Near-Death Experience From the Perspective of Quantum Entanglement and in the Presence of the Supernatural.Contzen Pereira & Janice Harter - 2016 - Journal of Metaphysics and Connected Consciousness 2.
    Near-death experiences are a big challenge to the fields of science and philosophy; termed as hallucinatory by neurologists and “stuff of which fantasies are made off” by sceptics, there are some unique near-death experiences which defy these claims. Memories generated during these experiences are of specific interest as they are created without a body and can be recalled post the experience. Call it the mind, soul, psyche or consciousness, if deliberated as a form of quantum generated energy, a strong (...)
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  45.  14
    Lagrangian Description for Particle Interpretations of Quantum Mechanics: Entangled Many-Particle Case.Roderick I. Sutherland - 2017 - Foundations of Physics 47 (2):174-207.
    A Lagrangian formulation is constructed for particle interpretations of quantum mechanics, a well-known example of such an interpretation being the Bohm model. The advantages of such a description are that the equations for particle motion, field evolution and conservation laws can all be deduced from a single Lagrangian density expression. The formalism presented is Lorentz invariant. This paper follows on from a previous one which was limited to the single-particle case. The present paper treats the more general case of (...)
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  46. Characterizing Common Cause Closedness of Quantum Probability Theories.Yuichiro Kitajima & Miklós Rédei - unknown
    We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann algebra together with a countably additive probability measure on the lattice. Common cause closedness is the feature that for every correlation between a pair of commuting projections there exists in the lattice a third projection commuting with both of the correlated projections and which is a Reichenbachian common cause of (...)
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  47.  13
    Reichenbach’s Common Cause Principle and Quantum Correlations.Miklós Rédei - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers. pp. 259--270.
    Reichenbach’s Common Cause Principle is the claim that if two events are correlated, then either there is a causal connection between the correlated events that is responsible for the correlation or there is a third event, a so called common cause, which brings about the correlation. The paper reviews some results concerning Reichenbach’s notion of common cause, results that are directly relevant to the problem of how one can falsify Reichenbach’s Common Cause Principle. Special emphasis will be put (...)
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  48.  63
    Transfer Principle in Quantum Set Theory.Masanao Ozawa - 2007 - Journal of Symbolic Logic 72 (2):625 - 648.
    In 1981, Takeuti introduced quantum set theory as the quantum counterpart of Boolean valued models of set theory by constructing a model of set theory based on quantum logic represented by the lattice of closed subspaces in a Hilbert space and showed that appropriate quantum counterparts of ZFC axioms hold in the model. Here, Takeuti's formulation is extended to construct a model of set theory based on the logic represented by the lattice of projections in an (...)
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  49.  39
    Phenomenological Aspects of Complementarity and Entanglement in Exceptional Human Experiences (ExE).Wolfgang Fach - 2011 - Axiomathes 21 (2):233-247.
    The mental system of an individual usually generates a reality-model that includes a self-model and a world-model as fundamental components. Exceptional experiences (ExE) can be classified as subjectively experienced anomalies in the self-model or the world-model or in the relation of both. Empirical studies show significant correlations between specific patterns of ExE and socially and clinically relevant variables. In order to examine the ontological status of anomalous phenomena a psychophysical approach is presented in which the principle of complementarity is of (...)
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  50.  28
    Building with Quantum Correlations.Christopher G. Timpson & Harvey R. Brown - unknown
    'Correlations without correlata' is an influential way of thinking of quantum entanglement as a form primitive correlation which nonetheless maintains locality of quantum theory. A number of arguments have sought to suggest that such a view leads either to internal inconsistency or to conflict with the empirical predictions of quantum mechanics. Here wew explicate and provide a partial defence of the notion, arguing that these objections import unwarranted conceptions of correlation properties as hidden variables. A (...)
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