The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
On quantum fidelities and channel capacities
Open accessAbstract
For the discrete memoryless quantum channel, we show the equivalence of two different notions of quantum channel capacity: that which uses the entanglement fidelity as its criterion for success in transmission, and that which uses the minimum fidelity of pure states in a subspace of the input Hilbert space as its criterion. As a corollary, any source with entropy rate less than the capacity may be transmitted with high entanglement fidelity. We also show that a restricted class of encodings is sufficient to transmit any quantum source which may be transmitted on a given channel. This enables us to simplify a known upper bound for the channel capacity. It also enables us to show that the availability of an auxiliary classical channel from encoder to decoder does not increase the quantum capacity.
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Citations
Cites
A single quantum cannot be cloned
Wootters, W. K., & Zurek, W. H. (1982) · Nature · doi:10.1038/299802a0 · Cited by 5,406 · cited 1×
“Classically, the input system may retain its original state, while the no-cloning theorem and related results [1], [2], [3],[4], [5], [6],[7], [8],[9],[10], [11],[12] imply that in the quantum case the input system cannot in general remain in its initial state.”
BackgroundCompletely positive linear maps on complex matrices
Choi, M.-D. (1975) · Linear Algebra and its Applications · doi:10.1016/0024-3795(75)90075-0 · Cited by 2,659 · cited 2×
“Hilbert space Hc, to the space B(Ho) of bounded linear operators on an output Hilbert space Ho [25],[26],[27].”
BackgroundFidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
The ‘transition probability’ in the state space of a—algebra
Uhlmann, A. (1976) · Reports on Mathematical Physics · doi:10.1016/0034-4877(76)90060-4 · Cited by 1,649
Theory of quantum error-correcting codes
Knill, E., & Laflamme, R. (1997) · Physical Review A · doi:10.1103/physreva.55.900 · Cited by 1,593
Self-citationNoncommuting Mixed States Cannot Be Broadcast
Barnum, H., Caves, C. M., Fuchs, C. A., Jozsa, R., & Schumacher, B. (1996) · Physical Review Letters · doi:10.1103/physrevlett.76.2818 · Cited by 654
Self-citationA New Proof of the Quantum Noiseless Coding Theorem
Jozsa, R., & Schumacher, B. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552191 · Cited by 304
Quantum-channel capacity of very noisy channels
DiVincenzo, D. P., Shor, P. W., & Smolin, J. A. (1998) · Physical Review A · doi:10.1103/physreva.57.830 · Cited by 297
Operations and measurements. II
Hellwig, K. E., & Kraus, K. (1970) · Communications in Mathematical Physics · doi:10.1007/bf01646620 · Cited by 143
Cited by
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118
Black holes as mirrors: quantum information in random subsystems
Hayden, P., & Preskill, J. (2007) · Journal of High Energy Physics · doi:10.1088/1126-6708/2007/09/120 · Cited by 1,332
The Private Classical Capacity and Quantum Capacity of a Quantum Channel
Devetak, I. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.839515 · Cited by 823
The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information
Devetak, I., & Shor, P. W. (2005) · Communications in Mathematical Physics · doi:10.1007/s00220-005-1317-6 · Cited by 445
“Condition 2 above corresponds to the subspace transmission criterion of [1].”
BackgroundInfluentialA Fully Quantum Asymptotic Equipartition Property
Tomamichel, M., Colbeck, R., & Renner, R. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2032797 · Cited by 356
Metadata
- Authors
- Barnum, H., Knill, E., & Nielsen, M. A.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2000-07
- Volume
- 46
- Issue
- 4
- Pages
- 1317-1329
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2153967767
- Cited by
- 199
- References
- 9
- FWCI
- 6.25
- Type
- journal article
- Language
- en
- Open access
- green
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Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
