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  • Byla studována možnost klonování d-dimenzionálního kvantového systému bezvyužití pomocných kvantových systémů. Byla dokázána řada teorémůříkajících, že optimální kvantové kopírování nelze realizovat tímtoekonomickým způsobem bez využití pomocných systémů. (cs)
  • The possibility of cloning a d-dimensional quantum system without an ancilla is explored, extending on the economical phase-covariant cloning machine for qubits found in Phys. Rev. A 60, 2764 (1999). We prove the impossibility of constructing an economical version of the optimal universal 1 -> 2 cloning machine in any dimension. We also show, using an ansatz on the generic form of cloning machines, that the d-dimensional 1 -> 2 phase-covariant cloner, which optimally clones all balanced superpositions with arbitrary phases, can be realized economically only in dimension d=2. The used ansatz is supported by numerical evidence up to d=7. An economical phase-covariant cloner can nevertheless be constructed for d>2, albeit with a slightly lower fidelity than that of the optimal cloner requiring an ancilla. Finally, using again an ansatz on cloning machines, we show that an economical version of the 1 -> 2 Fourier-covariant cloner, which optimally clones the computational basis and its Fourier
  • The possibility of cloning a d-dimensional quantum system without an ancilla is explored, extending on the economical phase-covariant cloning machine for qubits found in Phys. Rev. A 60, 2764 (1999). We prove the impossibility of constructing an economical version of the optimal universal 1 -> 2 cloning machine in any dimension. We also show, using an ansatz on the generic form of cloning machines, that the d-dimensional 1 -> 2 phase-covariant cloner, which optimally clones all balanced superpositions with arbitrary phases, can be realized economically only in dimension d=2. The used ansatz is supported by numerical evidence up to d=7. An economical phase-covariant cloner can nevertheless be constructed for d>2, albeit with a slightly lower fidelity than that of the optimal cloner requiring an ancilla. Finally, using again an ansatz on cloning machines, we show that an economical version of the 1 -> 2 Fourier-covariant cloner, which optimally clones the computational basis and its Fourier (en)
Title
  • Economical quantum cloning in any dimension
  • Economical quantum cloning in any dimension (en)
  • Ekonomické kvantové kopírování v libovolné dimenzi (cs)
skos:prefLabel
  • Economical quantum cloning in any dimension
  • Economical quantum cloning in any dimension (en)
  • Ekonomické kvantové kopírování v libovolné dimenzi (cs)
skos:notation
  • RIV/61989592:15310/05:00002106!RIV06-MSM-15310___
http://linked.open.../vavai/riv/strany
  • 052322-1-8
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • Z(MSM6198959213)
http://linked.open...iv/cisloPeriodika
  • 5
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
  • 519097
http://linked.open...ai/riv/idVysledku
  • RIV/61989592:15310/05:00002106
http://linked.open...riv/jazykVysledku
http://linked.open.../riv/klicovaSlova
  • ekonomické kvantové kopírování (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
http://linked.open...ontrolniKodProRIV
  • [EC1F4817DD19]
http://linked.open...i/riv/nazevZdroje
  • Physical Review A
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 72
http://linked.open...iv/tvurceVysledku
  • Fiurášek, Jaromír
  • Cerf, Nicolas J.
  • Durt, Thomas
http://linked.open...n/vavai/riv/zamer
issn
  • 1050-2947
number of pages
http://localhost/t...ganizacniJednotka
  • 15310
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