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

doi:10.1103/PhysRevA.68.062319

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

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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.

Authors:

Abeyesinghe, Anura; Hayden, Patrick ^[1]

Institute for Quantum Information, Physics Department, Caltech, 103-33, Pasadena, California 91125 (United States)

Publication Date:: Mon Dec 01 00:00:00 EST 2003

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.

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                    Abeyesinghe, Anura, & Hayden, Patrick. Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication.  United States.  doi:10.1103/PhysRevA.68.062319.

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                    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.

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@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}

}

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DOI: 10.1103/PhysRevA.68.062319

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