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Article Dans Une Revue Communications in Mathematical Physics Année : 2010

Random quantum channels I: graphical calculus and the Bell state phenomenon

Résumé

This paper is the first of a series where we study quantum channels from the random matrix point of view. We develop a graphical tool that allows us to compute the expected moments of the output of a random quantum channel. As an application, we study variations of random matrix models introduced by Hayden \cite{hayden}, and show that their eigenvalues converge almost surely. In particular we obtain for some models sharp improvements on the value of the largest eigenvalue, and this is shown in a further work to have new applications to minimal output entropy inequalities.
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Dates et versions

hal-00384127 , version 1 (14-05-2009)
hal-00384127 , version 2 (21-06-2009)

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Citer

Benoît Collins, Ion Nechita. Random quantum channels I: graphical calculus and the Bell state phenomenon. Communications in Mathematical Physics, 2010, 297 (2), pp.345-370. ⟨10.1007/s00220-010-1012-0⟩. ⟨hal-00384127v2⟩
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