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Description
| - 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)
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Title
| - Economical quantum cloning in any dimension
- Economical quantum cloning in any dimension (en)
- Ekonomické kvantové kopírování v libovolné dimenzi (cs)
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skos:prefLabel
| - Economical quantum cloning in any dimension
- Economical quantum cloning in any dimension (en)
- Ekonomické kvantové kopírování v libovolné dimenzi (cs)
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skos:notation
| - RIV/61989592:15310/05:00002106!RIV06-MSM-15310___
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http://linked.open.../vavai/riv/strany
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http://linked.open...avai/riv/aktivita
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http://linked.open...avai/riv/aktivity
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http://linked.open...iv/cisloPeriodika
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http://linked.open...vai/riv/dodaniDat
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http://linked.open...aciTvurceVysledku
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http://linked.open.../riv/druhVysledku
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http://linked.open...iv/duvernostUdaju
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http://linked.open...titaPredkladatele
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http://linked.open...dnocenehoVysledku
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http://linked.open...ai/riv/idVysledku
| - RIV/61989592:15310/05:00002106
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http://linked.open...riv/jazykVysledku
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http://linked.open.../riv/klicovaSlova
| - ekonomické kvantové kopírování (en)
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http://linked.open.../riv/klicoveSlovo
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http://linked.open...odStatuVydavatele
| - US - Spojené státy americké
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http://linked.open...ontrolniKodProRIV
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http://linked.open...i/riv/nazevZdroje
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http://linked.open...in/vavai/riv/obor
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http://linked.open...ichTvurcuVysledku
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http://linked.open...cetTvurcuVysledku
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http://linked.open...UplatneniVysledku
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http://linked.open...v/svazekPeriodika
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http://linked.open...iv/tvurceVysledku
| - Fiurášek, Jaromír
- Cerf, Nicolas J.
- Durt, Thomas
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http://linked.open...n/vavai/riv/zamer
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issn
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number of pages
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http://localhost/t...ganizacniJednotka
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