. . "Rekurence and P\u00F3lyaovsk\u00E1 \u010D\u00EDsla pro kvantov\u00E9 proch\u00E1zky"@cs . "[AAB05A7ED1B7]" . . "2"^^ . "3"^^ . . . . "We analyze the recurrence probability (P\u00F3lya number) for d-dimensional unbiased quantum walks. A sufficient condition for a quantum walk to be recurrent is derived. As a by-product we find a simple criterion for localization of quantum walks. In contrast with classical walks, where the P\u00F3lya number is characteristic for the given dimension, the recurrence probability of a quantum walk depends in general on the topology of the walk, choice of the coin and the initial state. This allows us to change the character of the quantum walk from recurrent to transient by altering the initial state." . . "Analyzujeme pravd\u011Bpodobnost n\u00E1vratu chodce pro d-rozm\u011Brn\u00E9 vyv\u00E1\u017Een\u00E9 kvantov\u00E9 proch\u00E1zky. Prezentujeme analytick\u00FD tvar pro rekurenci n\u00E1hodn\u00E9ho chozen\u00ED."@cs . . "RIV/68407700:21340/08:04139303!RIV09-MSM-21340___" . "P\u00F3lya number; quantum walk; recurrence"@en . . "RIV/68407700:21340/08:04139303" . . "391800" . . "100" . . . "21340" . "Rekurence and P\u00F3lyaovsk\u00E1 \u010D\u00EDsla pro kvantov\u00E9 proch\u00E1zky"@cs . "Kiss, T." . "Jex, Igor" . . "4"^^ . "P(LC06002), Z(MSM6840770039)" . "Recurrence and P\u00F3lya Number of Quantum Walks"@en . . . "0031-9007" . "\u0160tefa\u0148\u00E1k, Martin" . "02" . "Recurrence and P\u00F3lya Number of Quantum Walks" . "Recurrence and P\u00F3lya Number of Quantum Walks" . "000252471200003" . "US - Spojen\u00E9 st\u00E1ty americk\u00E9" . "Recurrence and P\u00F3lya Number of Quantum Walks"@en . "We analyze the recurrence probability (P\u00F3lya number) for d-dimensional unbiased quantum walks. A sufficient condition for a quantum walk to be recurrent is derived. As a by-product we find a simple criterion for localization of quantum walks. In contrast with classical walks, where the P\u00F3lya number is characteristic for the given dimension, the recurrence probability of a quantum walk depends in general on the topology of the walk, choice of the coin and the initial state. This allows us to change the character of the quantum walk from recurrent to transient by altering the initial state."@en . "Physical Review Letters" . . .