Generalized remote state preparation: Trading cbits, qubits, and ebits in quantum communication
- Creators
- Abeyesinghe, Anura
- Hayden, Patrick
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.
Additional Information
©2003 The American Physical Society (Received 29 August 2003; published 24 December 2003) We thank Debbie Leung for many helpful conversations. The authors acknowledge the support of the U.S. National Science Foundation under Grant No. EIA-0086038. P.H. was also supported by the Sherman Fairchild Foundation.Files
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Additional details
- Eprint ID
- 4517
- Resolver ID
- CaltechAUTHORS:ABEpra03
- Created
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2006-08-25Created from EPrint's datestamp field
- Updated
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2021-11-08Created from EPrint's last_modified field