Quantum synthesis of arbitrary unitary operators

• Autoři: BŮŽEK Vladimír; HLADKÝ B.; DROBNÝ G.
• Rok publikování: 2000
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Phys. Rev. A
• Fakulta / Pracoviště MU: Fakulta informatiky
• 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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• Informatika jako třetí metodologie
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