Foundations of Physics 45 (1):62-74 (2015)

Abstract
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 in the case where the loss of fidelity is less than \ . Therefore in this case no universal \ -imperfect cloning operation is possible in algebraic quantum theory
Keywords No-cloning theorem  Fidelity  Completely positive map   Algebraic quantum field theory
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10701-014-9843-8
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 64,077
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Modal Quantum Theory.Benjamin Schumacher & Michael D. Westmoreland - 2012 - Foundations of Physics 42 (7):918-925.
On the Entanglement Structure in Quantum Cloning.Dagmar Bruß & Chiara Macchiavello - 2003 - Foundations of Physics 33 (11):1617-1628.
Taking Particle Physics Seriously: A Critique of the Algebraic Approach to Quantum Field Theory.David Wallace - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (2):116-125.
Cloning: Then and Now.Daniel Callahan - 1998 - Cambridge Quarterly of Healthcare Ethics 7 (2):141-144.
On Cloning.John Harris - 2004 - Routledge.

Analytics

Added to PP index
2014-10-21

Total views
32 ( #342,251 of 2,454,575 )

Recent downloads (6 months)
5 ( #143,490 of 2,454,575 )

How can I increase my downloads?

Downloads

My notes