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

Anura Abeyesinghe and Patrick Hayden
Phys. Rev. A 68, 062319 – Published 24 December 2003
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Abstract

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.

  • Received 29 August 2003

DOI:https://doi.org/10.1103/PhysRevA.68.062319

©2003 American Physical Society

Authors & Affiliations

Anura Abeyesinghe* and Patrick Hayden

  • Institute for Quantum Information, Physics Department, Caltech, 103-33, Pasadena, California 91125, USA

  • *Electronic address: anura@caltech.edu
  • Electronic address: patrick@cs.caltech.edu

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Vol. 68, Iss. 6 — December 2003

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