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In quantum information, the diamond norm, also known as completely bounded trace norm, is a norm on the space of quantum operations, or more generally on any linear map that acts on complex matrices.[1][2] Its main application is to measure the "single use distinguishability" of two quantum channels. If an agent is randomly given one of two quantum channels, permitted to pass one state through the unknown channel, and then measures the state in an attempt to determine which operation they were given, then their maximal probability of success is determined by the diamond norm of the difference of the two channels.
Although the diamond norm can be efficiently computed via semidefinite programming, it is in general difficult to obtain analytical expressions and those are known only for a few particular cases.[2][3]
^Aharonov, Dorit; Kitaev, Alexei; Nisan, Noam (1997). "Quantum Circuits with Mixed States". Proceedings of the Thirtieth Annual ACM Symposium on Theory of Computation (STOC). pp. 20–30. arXiv:quant-ph/9806029.
^ abJ. Watrous. The Theory of Quantum Information. Cambridge University Press, 2018. Chapter 3.3, https://cs.uwaterloo.ca/~watrous/TQI/
^Benenti, Giuliano; Strini, Giuliano (2010). "Computing the distance between quantum channels: usefulness of the Fano representation" (PDF). Journal of Physics B: Atomic, Molecular and Optical Physics. 43 (21): 215508. arXiv:1004.4110. Bibcode:2010JPhB...43u5508B. doi:10.1088/0953-4075/43/21/215508. ISSN 0953-4075. S2CID 119200660.
In quantum information, the diamondnorm, also known as completely bounded trace norm, is a norm on the space of quantum operations, or more generally...
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(1960-02-08)February 8, 1960 Radio 6313 Hollywood Boulevard (1960-02-08)February 8, 1960 Norm Crosby Television 6560 Hollywood Boulevard (1982-02-24)February 24, 1982...
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famous roles were in the screen biographies The Rise and Fall of Legs Diamond (1960) and The George Raft Story (1962). He was married to actress Julie...
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