DiVincenzo, David P. and Fuchs, Christopher A. and Mabuchi, Hideo and Smolin, John A. and Thapliyal, Ashish and Uhlmann, Armin (1999) Entanglement of Assistance. In: Quantum Computing and Quantum Communications. Lecture Notes in Computer Science. No.1509. Springer , Berlin, pp. 247-257. ISBN 978-3-540-65514-5. https://resolver.caltech.edu/CaltechAUTHORS:20200714-130446136
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Abstract
The newfound importance of "entanglement as a resource" in quantum computation and quantum communication behooves us to quantify it in as many distinct ways as possible. Here we explore a new quantification of entanglement of a general (mixed) quantum state for a bipartite system, which we name entanglement of assistance. Weshowit to be the maximum of the average entanglement over all ensembles consistent with the density matrix describing the bipartite state. With the help of lower and upper bounds we calculate entanglement of assistance for a few cases and use these results to show the surprising property of superadditivity. We believe that this may throw some light on the question of additivity of entanglement of formation.
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| Additional Information: | © 1999 Springer-Verlag Berlin Heidelberg. Part of this work was completed during the 1997 Elsag-Bailey - I.S.I. Foundation research meeting on quantum computation. We would like to thank Charles H. Bennet, William K. Wootters and Barbara M. Terhal for illuminating discussions. DPD and JAS would like to thank the Army Research Office for support. CAF was supported by a Lee A. DuBridge Fellowship and by DARPA through the Quantum Information and Computing (QUIC) Institute administered by the US Army Research Office. AT would like to thank The NSF Science and Technology Center for Quantized Electronics Structures, Grant #DMR 91-20007, for support to attend this conference and, IBM Research Division for supporting his summer visit during which this work was initiated. He would also like to thank Prof. David Awschalom for his invaluable support, without which, it would have been impossible to work in this exciting field. | ||||||||||||
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| Subject Keywords: | Density Matrix; Pure State; Bipartite System; Forthcomming Publication; Bipartite State | ||||||||||||
| Series Name: | Lecture Notes in Computer Science | ||||||||||||
| Issue or Number: | 1509 | ||||||||||||
| DOI: | 10.1007/3-540-49208-9_21 | ||||||||||||
| Record Number: | CaltechAUTHORS:20200714-130446136 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20200714-130446136 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 104383 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 14 Jul 2020 20:25 | ||||||||||||
| Last Modified: | 16 Nov 2021 18:31 |
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