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Cited by 773

The DOI matches its Crossref record; 29 of the 29 references it cites were found in a registry or an index.

Cryptographic distinguishability measures for quantum-mechanical states

Open access
Fuchs, C.A., van de Graaf, J.·1999·IEEE Transactions on Information Theory
DOI 10.1109/18.761271
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Abstract

This paper, mostly expository in nature, surveys four measures of distinguishability for quantum-mechanical states. This is done from the point of view of the cryptographer with a particular eye on applications in quantum cryptography. Each of the measures considered is rooted in an analogous classical measure of distinguishability for probability distributions: namely, the probability of an identification error, the Kolmogorov distance, the Bhattacharyya coefficient, and the Shannon (1948) distinguishability (as defined through mutual information). These measures have a long history of use in statistical pattern recognition and classical cryptography. We obtain several inequalities that relate the quantum distinguishability measures to each other, one of which may be crucial for proving the security of quantum cryptographic key distribution. In another vein, these measures and their connecting inequalities are used to define a single notion of cryptographic exponential indistinguishability for two families of quantum states. This is a tool that may prove useful in the analysis of various quantum-cryptographic protocols.

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Metadata

Authors
Fuchs, C. A., & van de Graaf, J.
Venue
IEEE Transactions on Information Theory
Publisher
Institute of Electrical and Electronics Engineers (IEEE)
Published
1999-05
Volume
45
Issue
4
Pages
1216-1227
ISSN
0018-9448 (ISSN-L)
DOI
10.1109/18.761271
OpenAlex
W2167346196
Cited by
773
References
29
FWCI
11.39
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Cryptographic distinguishability measures for quantum-mechanical states. https://app.cochat.ai/papers/10.1109/18.761271
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Fuchs, C. A., & van de Graaf, J. (1999). Cryptographic distinguishability measures for quantum-mechanical states. IEEE Transactions on Information Theory. https://doi.org/10.1109/18.761271

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

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