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

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.

Authors:
;  [1]
  1. Institute for Quantum Information, Physics Department, Caltech, 103-33, Pasadena, California 91125 (United States)
Publication Date:
OSTI Identifier:
20640470
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 68; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevA.68.062319; (c) 2003 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; COMPRESSION; CORRELATIONS; DATA TRANSMISSION; ENERGY LEVELS; INFORMATION THEORY; QUANTUM MECHANICS

Citation Formats

Abeyesinghe, Anura, and Hayden, Patrick. Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication. United States: N. p., 2003. Web. doi:10.1103/PhysRevA.68.062319.
Abeyesinghe, Anura, & Hayden, Patrick. Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication. United States. doi:10.1103/PhysRevA.68.062319.
Abeyesinghe, Anura, and Hayden, Patrick. Mon . "Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication". United States. doi:10.1103/PhysRevA.68.062319.
@article{osti_20640470,
title = {Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication},
author = {Abeyesinghe, Anura and Hayden, Patrick},
abstractNote = {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.},
doi = {10.1103/PhysRevA.68.062319},
journal = {Physical Review. A},
number = 6,
volume = 68,
place = {United States},
year = {Mon Dec 01 00:00:00 EST 2003},
month = {Mon Dec 01 00:00:00 EST 2003}
}