Asymptotic evolution of random unitary operations

• Autorzy: Jaroslav Novotný , Gernot Alber , Igor Jex
• Języki publikacji: EN

Abstrakty

EN

We analyze the asymptotic dynamics of quantum systems resulting from large numbers of iterations of random unitary operations. Although, in general, these quantum operations cannot be diagonalized it is shown that their resulting asymptotic dynamics is described by a diagonalizable superoperator. We prove that this asymptotic dynamics takes place in a typically low dimensional attractor space which is independent of the probability distribution of the unitary operations applied. This vector space is spanned by all eigenvectors of the unitary operations involved which are associated with eigenvalues of unit modulus. Implications for possible asymptotic dynamics of iterated random unitary operations are presented and exemplified in an example involving random controlled-not operations acting on two qubits.

Słowa kluczowe

EN

random unitary map; asymptotic evolution; iterations; attractor; open dynamics

• Czasopismo: Open Physics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 1001-1014

Daty

wydano

2010-12-01

online

2010-09-05

Twórcy

autor

Jaroslav Novotný,

autor

Gernot Alber

• Institut für Angewandte Physik, Technische Universität Darmstadt, Hochschulstraße 4a, D-64289, Darmstadt, Germany

autor

Igor Jex

• Department of Physics, FJFI ČVUT v Praze, Břehová 7 Praha 1 - Staré Město, 115 19, Prague, Czech Republic

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Identyfikatory

DOI

10.2478/s11534-010-0018-8