Quantum synthesis of arbitrary unitary operators

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Publikace nespadá pod Pedagogickou fakultu, ale pod Fakultu informatiky. Oficiální stránka publikace je na webu muni.cz.
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BŮŽEK Vladimír HLADKÝ B. DROBNÝ G.

Rok publikování 2000
Druh Článek v odborném periodiku
Časopis / Zdroj Phys. Rev. A
Fakulta / Pracoviště MU

Fakulta informatiky

Citace
www http://publish.aps.org/abstract/PRA/v61/e022102
Obor Teoretická fyzika
Popis Nature provides us with a restricted set of microscopic interactions. The question is whether we can synthesize out of these fundamental interactions an arbitrary unitary operator. In this paper we present a constructive algorithm for realization of any unitary operator which acts on a (truncated) Hilbert space of a single bosonic mode. The algorithm itself is not unitary because it involves a conditional measurement. However, it does yield a constant probability of the conditional measurement which does not depend on the input state of the bosonic system. We consider a physical implementation of unitary transformations acting on one-dimensional vibrational states of a trapped ion. As an example we present an algorithm which realizes the discrete Fourier transform.
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