Switch to: Citations

Add references

You must login to add references.
  1. Local Tomography and the Jordan Structure of Quantum Theory.Howard Barnum & Alexander Wilce - 2014 - Foundations of Physics 44 (2):192-212.
    Using a result of H. Hanche-Olsen, we show that (subject to fairly natural constraints on what constitutes a system, and on what constitutes a composite system), orthodox finite-dimensional complex quantum mechanics with superselection rules is the only non-signaling probabilistic theory in which (i) individual systems are Jordan algebras (equivalently, their cones of unnormalized states are homogeneous and self-dual), (ii) composites are locally tomographic (meaning that states are determined by the joint probabilities they assign to measurement outcomes on the component systems) (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • Probabilistic Theories with Purification.Giulio Chiribella, Giacomo Mauro D'Ariano & Paolo Perinotti - unknown
    We investigate general probabilistic theories in which every mixed state has a purification, unique up to reversible channels on the purifying system. We show that the purification principle is equivalent to the existence of a reversible realization of every physical process, namely that every physical process can be regarded as arising from a reversible interaction of the system with an environment, which is eventually discarded. From the purification principle we also construct an isomorphism between transformations and bipartite states that possesses (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   12 citations  
  • Four and a Half Axioms for Finite-Dimensional Quantum Probability.Alexander Wilce - 2012 - In Yemima Ben-Menahem & Meir Hemmo (eds.), Probability in Physics. Springer. pp. 281--298.
    It is an old idea, lately out of fashion but now experiencing a revival, that quantum mechanics may best be understood, not as a physical theory with a problematic probabilistic interpretation, but as something closer to a probability calculus per se. However, from this angle, the rather special C *-algebraic apparatus of quantum probability theory stands in need of further motivation. One would like to find additional principles, having clear physical and/or probabilistic content, on the basis of which this apparatus (...)
    $39.09 new   $52.56 used   (collection)    View on Amazon.com
    Direct download  
     
    Export citation  
     
    Bookmark   2 citations