The logic of quantum programs

Abstract
We present a logical calculus for reasoning about information flow in quantum programs. In particular we introduce a dynamic logic that is capable of dealing with quantum measurements, unitary evolutions and entanglements in compound quantum systems. We give a syntax and a relational semantics in which we abstract away from phases and probabilities. We present a sound proof system for this logic, and we show how to characterize by logical means various forms of entanglement (e.g. the Bell states) and various linear operators. As an example we sketch an analysis of the teleportation protocol.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 9,360
External links
  •   Try with proxy.
  • Through your library Only published papers are available at libraries
    References found in this work BETA

    No references found.

    Citations of this work BETA
    Similar books and articles
    R. I. G. Hughes (1980). Quantum Logic and the Interpretation of Quantum Mechanics. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1980:55 - 67.
    James H. McGrath (1986). Quantum Disjunctive Facts. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:76 - 86.
    E. -W. Stachow (1976). Completeness of Quantum Logic. Journal of Philosophical Logic 5 (2):237 - 280.
    J. L. Bell (1986). A New Approach to Quantum Logic. British Journal for the Philosophy of Science 37 (1):83-99.
    Sonja Smets (2006). From Intuitionistic Logic to Dynamic Operational Quantum Logic. Poznan Studies in the Philosophy of the Sciences and the Humanities 91 (1):257-275.
    Analytics

    Monthly downloads

    Added to index

    2009-01-28

    Total downloads

    34 ( #43,058 of 1,089,047 )

    Recent downloads (6 months)

    20 ( #5,400 of 1,089,047 )

    How can I increase my downloads?

    My notes
    Sign in to use this feature


    Discussion
    Start a new thread
    Order:
    There  are no threads in this forum
    Nothing in this forum yet.