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A very brief introduction to quantum computing and quantum information theory for mathematicians. (English) Zbl 1423.81055

Ballico, Edoardo (ed.) et al., Quantum physics and geometry. Cham: Springer. Lect. Notes Unione Mat. Ital. 25, 5-41 (2019).
Summary: This is a very brief introduction to quantum computing and quantum information theory, primarily aimed at geometers. Beyond basic definitions and examples, I emphasize aspects of interest to geometers, especially connections with asymptotic representation theory. Proofs can be found in standard references such as [A. Yu. Kitaev et al., Classical and quantum computation. Providence, RI: AMS, American Mathematical Society (2002; Zbl 1022.68001)] and [M. A. Nielsen and I. L. Chuang, Quantum computation and quantum information. Cambridge: Cambridge University Press (2000; Zbl 1049.81015)] as well as [the author, Quantum computation and information. Notes for Fall 2017 TAMU class (2017), https://www.math.tamu.edu/~jml/quantumfall17.html].
For the entire collection see [Zbl 1411.81023].

MSC:

81P68 Quantum computation
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
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