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

Anura Abeyesinghe·Patrick Hayden
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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.

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Anura Abeyesinghe, Patrick Hayden. 2003-11-07. Generalized remote state preparation: Trading cbits, qubits and ebits in quantum communication. https://doi.org/10.1103/physreva.68.062319

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