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Optimal Superdense Coding of Entangled States

Abeyesinghe, Anura and Hayden, Patrick and Smith, Graeme and Winter, Andreas J. (2006) Optimal Superdense Coding of Entangled States. IEEE Transactions on Information Theory, 52 (8). pp. 3635-3641. ISSN 0018-9448. https://resolver.caltech.edu/CaltechAUTHORS:ABEieeetit06

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Abstract

In this paper, we present a one-shot method for preparing pure entangled states between a sender and a receiver at a minimal cost of entanglement and quantum communication. In the case of preparing unentangled states, an earlier paper showed that a$2l$-qubit quantum state could be communicated to a receiver by physically transmitting only$l+o(l)$qubits in addition to consuming$l$ebits of entanglement and some shared randomness. When the states to be prepared are entangled, we find that there is a reduction in the number of qubits that need to be transmitted, interpolating between no communication at all for maximally entangled states and the earlier two-for-one result of the unentangled case, all without the use of any shared randomness. We also present two applications of our result: a direct proof of the achievability of the optimal superdense coding protocol for entangled states produced by a memoryless source, and a demonstration that the quantum identification capacity of an ebit is two qubits.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/TIT.2006.878174DOIUNSPECIFIED
Additional Information:© Copyright 2006 IEEE. Reprinted with permission. Manuscript received September 28, 2004; revised April 17, 2006. [Posted online: 2006-07-24] The work of A. Abeyesinghe, P. Hayden, and G. Smithwas supported by the U.S. National Science Foundation under Grant EIA-0086038. P. Hayden was also supported by the Sherman Fairchild Foundation. A. J. Winter was also supported by the EC project RESQ under Contract IST-2001-37559. Communicated by E. Knill, Associate Editor for Quantum Information Theory. It is a pleasure to thank Dave Bacon and Debbie Leung for many enjoyable discussions on subjects directly and peripherally related to the contents of this paper. A. J.Winter is grateful for the hospitality of the Caltech’s Institute for Quantum Information.
Subject Keywords:Concentration of measure, entanglement, identification, remote state preparation, superdense coding
Issue or Number:8
Record Number:CaltechAUTHORS:ABEieeetit06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:ABEieeetit06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:4507
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:25 Aug 2006
Last Modified:02 Oct 2019 23:13

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