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  • 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.
  • 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. (en)
Title
  • Quantum synthesis of arbitrary unitary operators
  • Quantum synthesis of arbitrary unitary operators (en)
skos:prefLabel
  • Quantum synthesis of arbitrary unitary operators
  • Quantum synthesis of arbitrary unitary operators (en)
skos:notation
  • RIV/00216224:14330/00:00002887!RIV/2002/GA0/143302/N
http://linked.open.../vavai/riv/strany
  • 022102
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/98/0369), Z(MSM 143300001)
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 724183
http://linked.open...ai/riv/idVysledku
  • RIV/00216224:14330/00:00002887
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • Quantum synthesis of arbitrary unitary operators (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [9B9D640283F1]
http://linked.open...i/riv/nazevZdroje
  • Phys. Rev. A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...ocetUcastnikuAkce
http://linked.open...nichUcastnikuAkce
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 61
http://linked.open...iv/tvurceVysledku
  • Bůžek, Vladimír
  • Drobný, G.
  • Hladký, B.
http://linked.open...n/vavai/riv/zamer
issn
  • 1094-1622
number of pages
http://localhost/t...ganizacniJednotka
  • 14330
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