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Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity
Open accessAbstract
We study the amount of classical communication needed for distributed quantum-information processing. In particular, we introduce the concept of ``remote preparation'' of a quantum state. Given an ensemble of states, Alice's task is to help Bob in a distant laboratory to prepare a state of her choice. We find several examples of an ensemble with an entropy S where the remote preparation can be done with a communication cost lower than the amount $(2S)$ required by standard teleportation. We conjecture that, for an arbitrary N-dimensional pure state, its remote preparation requires $2{\mathrm{log}}_{2}N$ bits of classical communication, as in standard teleportation.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
A New Proof of the Quantum Noiseless Coding Theorem
Jozsa, R., & Schumacher, B. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552191 · Cited by 304
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Lvovsky, A. I., & Raymer, M. G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.299 · Cited by 1,123
Quantum repeaters: From quantum networks to the quantum internet
Azuma, K., Economou, S. E., Elkouss, D., Hilaire, P., Jiang, L., Lo, H.-K., & Tzitrin, I. (2023) · Reviews of Modern Physics · doi:10.1103/revmodphys.95.045006 · Cited by 559
Self-citationRandomizing Quantum States: Constructions and Applications
Hayden, P., Leung, D., Shor, P. W., & Winter, A. (2004) · Communications in Mathematical Physics · doi:10.1007/s00220-004-1087-6 · Cited by 345
Remote Preparation of Single-Photon “Hybrid” Entangled and Vector-Polarization States
Barreiro, J. T., Wei, T.-C., & Kwiat, P. G. (2010) · Physical Review Letters · doi:10.1103/physrevlett.105.030407 · Cited by 280
Remote State Preparation: Arbitrary Remote Control of Photon Polarization
Peters, N. A., Barreiro, J. T., Goggin, M. E., Wei, T.-C., & Kwiat, P. G. (2005) · Physical Review Letters · doi:10.1103/physrevlett.94.150502 · Cited by 278
Metadata
- Authors
- Lo, H.-K.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2000-06-16
- Volume
- 62
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2086651839
- Cited by
- 671
- References
- 2
- FWCI
- 13.33
- Type
- journal article
- Language
- en
- Open access
- green
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- Lo, H.-K. (2000). Classical-communication cost in distributed quantum-information processing: A generalization of quantum-communication complexity. Physical Review A. https://doi.org/10.1103/physreva.62.012313
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