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Strong converse for identification via quantum channels
Open accessAbstract
We present a simple proof of the strong converse for identification via discrete memoryless quantum channels, based on a novel covering lemma. The new method is a generalization to quantum communication channels of Ahlswede's (1979, 1992) approach to classical channels. It involves a development of explicit large deviation estimates to the case of random variables taking values in self-adjoint operators on a Hilbert space. This theory is presented separately in an appendix, and we illustrate it by showing its application to quantum generalizations of classical hypergraph covering problems.
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Cites
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Shannon, C. E. (1948) · Bell System Technical Journal · doi:10.1002/j.1538-7305.1948.tb01338.x · Cited by 88,486
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Cited by
Wilde, M. M. (2013) · doi:10.1017/cbo9781139525343 · Cited by 1,138
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
A Survey on Quantum Channel Capacities
Gyongyosi, L., Imre, S., & Nguyen, H. V. (2018) · IEEE Communications Surveys & Tutorials · doi:10.1109/comst.2017.2786748 · Cited by 337
Quantum Speed-Ups for Solving Semidefinite Programs
Brandao, F. G. S. L., & Svore, K. M. (2017) · 2017 IEEE 58th Annual Symposium on Foundations of Computer Science (FOCS) · doi:10.1109/focs.2017.45 · Cited by 142
Weak Decoupling Duality and Quantum Identification
Hayden, P., & Winter, A. (2012) · IEEE Transactions on Information Theory · doi:10.1109/tit.2012.2191695 · Cited by 36
Self-citation
Metadata
- Authors
- Ahlswede, R., & Winter, A.
- Venue
- IEEE Transactions on Information Theory
- Published
- 2002-03
- Volume
- 48
- Issue
- 3
- Pages
- 569-579
- ISSN
- 0018-9448 (ISSN-L)
- OpenAlex
- W2134348739
- Cited by
- 423
- References
- 20
- FWCI
- 6.69
- Type
- journal article
- Language
- en
- Open access
- green
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