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Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication

Abeyesinghe, Anura and Hayden, Patrick (2003) Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication. Physical Review A, 68 (6). Art. No. 062319. ISSN 1050-2947. doi:10.1103/PhysRevA.68.062319.

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We consider the problem of communicating quantum states by simultaneously making use of a noiseless classical channel, a noiseless quantum channel, and shared entanglement. We specifically study the version of the problem in which the sender is given knowledge of the state to be communicated. In this setting, a trade-off arises between the three resources, some portions of which have been investigated previously in the contexts of the quantum-classical trade-off in data compression, remote state preparation, and superdense coding of quantum states, each of which amounts to allowing just two out of these three resources. We present a formula for the triple resource trade-off that reduces its calculation to evaluating the data compression trade-off formula. In the process, we also construct protocols achieving all the optimal points. These turn out to be achievable by trade-off coding and suitable time sharing between optimal protocols for cases involving two resources out of the three mentioned above.

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Additional Information:©2003 The American Physical Society (Received 29 August 2003; published 24 December 2003) We thank Debbie Leung for many helpful conversations. The authors acknowledge the support of the U.S. National Science Foundation under Grant No. EIA-0086038. P.H. was also supported by the Sherman Fairchild Foundation.
Subject Keywords:quantum theory; quantum communication; information theory; data compression
Issue or Number:6
Record Number:CaltechAUTHORS:ABEpra03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4517
Deposited By: Archive Administrator
Deposited On:25 Aug 2006
Last Modified:08 Nov 2021 20:18

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