TITLE

Reversibility of Local Transformations of Multiparticle Entanglement

AUTHOR(S)
Linden, N.; Popescu, S.; Schumacher, B.; Westmoreland, M.
PUB. DATE
August 2005
SOURCE
Quantum Information Processing;Aug2005, Vol. 4 Issue 3, p241
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We consider the transformation of multisystem entangled states by local quantum operations and classical communication. We show that, for any reversible transformation, the relative entropy of entanglement for any two parties must remain constant. This shows, for example, that it is not possible to convert 2 N three-party GHZ states into 3 N singlets, even in an asymptotic sense. Thus there is true three-party non-locality (i.e. not all three party entanglement is equivalent to two-party entanglement). Our results also allow us to make quantitative. statements about concentrating multi-particle entanglement. Finally, we show that there is true n-party entanglement for any n.
ACCESSION #
18359686

 

Related Articles

  • Inequalities for the quantum privacy. Trindade, M. A. S.; Pinto, E. // Modern Physics Letters B;Feb2016, Vol. 30 Issue 5, p-1 

    In this work, we investigate the asymptotic behavior related to the quantum privacy for multipartite systems. In this context, an inequality for quantum privacy was obtained by exploiting of quantum entropy properties. Subsequently, we derive a lower limit for the quantum privacy through the...

  • Some Aspects of Entropies for Quantum Processes. Watanabe, Noboru // AIP Conference Proceedings;3/10/2009, Vol. 1101 Issue 1, p192 

    The classical entropies were formulated by means of the classical probability theory. The essence of the classical probability theory corresponds to the use of c-number with commutative property. On the base of the classical probability theory, the classical information theory can be discussed...

  • Entanglement of formation is non-monotonic with concurrence: a simple proof. Chattopadhyay, Indrani; Sarkar, Debasis // Quantum Information Processing;Dec2008, Vol. 7 Issue 6, p243 

    In this paper we explore the non-monotonic nature of entanglement of formation with respect to concurrence for pure bipartite states. For pure bipartite system, one of the basic physical reason of this non-monotonicity character is due to the existence of incomparable states, i.e., the pure...

  • Quantum Entanglement in Two-Photon Tavis–Cummings Model with a Kerr Nonlinearity. Jun-Mao Ma; Zhi-Yong Jiao; Ning Li // International Journal of Theoretical Physics;Oct2007, Vol. 46 Issue 10, p2550 

    The properties of quantum entanglement in the two-photon Tavis–Cummings model with a Kerr nonlinearity are studied in terms of quantum information entropy theory. The reduced quantum entropy is employed to investigate the quantum entanglement between two two-level atoms and a single-mode...

  • Maximum entropy in the finite Stieltjes and Hamburger moment problem. Frontini, M.; Tagliani, A. // Journal of Mathematical Physics;Dec94, Vol. 35 Issue 12, p6748 

    A necessary and sufficient condition for the existence of the maximum entropy (ME) function, defined in an infinite or semiinfinite interval, is provided. The conclusions reached show that, except in a few particular cases, the necessary and sufficient conditions for the existence of maximum...

  • A bound on the mutual information, and properties of entropy reduction, for quantum channels with inefficient measurements. Jacobs, Kurt // Journal of Mathematical Physics;Jan2006, Vol. 47 Issue 1, pN.PAG 

    The Holevo bound is a bound on the mutual information for a given quantum encoding. In 1996 Schumacher, Westmoreland, and Wootters [Phys. Rev. Lett. 76, 3452 (1996)] derived a bound that reduces to the Holevo bound for complete measurements, but that is tighter for incomplete measurements. The...

  • Apollonius' problem.  // Hutchinson Dictionary of Scientific Biography;2005, p1 

    Problem set by Apollonius of Perga, to describe a circle touching three other given circles.

  • The uniqueness theorem for entanglement measures. Donald, Matthew J.; Horodecki, Michał; Rudolph, Oliver // Journal of Mathematical Physics;Sep2002, Vol. 43 Issue 9, p4252 

    We explore and develop the mathematics of the theory of entanglement measures. After a careful review and analysis of definitions, of preliminary results, and of connections between conditions on entanglement measures, we prove a sharpened version of a uniqueness theorem which gives necessary...

  • Numerical approaches for computing nonadiabatic electron transfer rate constants. Liao, J. L.; Voth, Gregory A. // Journal of Chemical Physics;6/1/2002, Vol. 116 Issue 21, p9174 

    A major difficulty in computing nonadiabatic electron transfer (ET) reaction rate constants is that they, in principle, involve the computation of real-time quantum dynamics. The saddle point approximation and the maximum entropy method are in this paper explored with the goal of circumventing...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics