Quantum synthesis of arbitrary unitary operators

Details Quantum synthesis of arbitrary unitary operators Quantum synthesis of arbitrary unitary operators

1999-05-14

arxiv.org/abs/quant-ph/9905049v1

Physics

Quantum Physics

6 RevTeX pages with 3 figures, submitted to Phys.Rev.A, see also http://nic.savba.sk/sav/inst/fyzi/qo/

Scientific paper

10.1103/PhysRevA.61.022102

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. In particular, we consider a physical implementation of unitary transformations acting on 1-dimensional vibrational states of a trapped ion. As an example we present an algorithm which realizes the discrete Fourier transform.

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