"RIV/68407700:21340/06:04122300" . . "Studujeme \u0161\u00ED\u0159en\u00ED dvou neinteraguj\u00EDc\u00EDch \u010D\u00E1stic formou n\u00E1hodn\u00E9 Proch\u00E1zky na p\u0159\u00EDmce a analyzujeme pravd\u011Bpodobnost toho, \u017Ee ob\u011B \u010D\u00E1stice jsou detekov\u00E1ny na stejn\u00E9 pozici po jist\u00E9m po\u010Dtu krok\u016F (probl\u00E9m setk\u00E1v\u00E1n\u00ED). V\u00FDsledky jsou srovn\u00E1ny s v\u00FDsledky pro klasickou verzi probl\u00E9mu a rozd\u00EDly jsou diskutov\u00E1ny. Odvodili jsme analytick\u00E9 a asymptotick\u00E9 tvary pro pravd\u011Bpodobnost setk\u00E1n\u00ED. Pravd\u011Bpodobnost setk\u00E1n\u00ED kles\u00E1 pro p\u0159\u00EDpad rozli\u0161iteln\u00FDch \u010D\u00E1stic rychleji ne\u017E v p\u0159\u00EDpad\u011B klasick\u00FDch \u010D\u00E1stic. P\u0159\u00EDpad prov\u00E1zan\u00FDch, fermionov\u00FDch a bosonov\u00FDch chodc\u016F jsou kr\u00E1tce diskutov\u00E1ny."@cs . . . "21340" . . "484778" . "39" . "The Meeting Problem in the Quantum Random Walk" . . "48" . . "RIV/68407700:21340/06:04122300!RIV07-GA0-21340___" . . "19"^^ . "[6C02D2FE4035]" . . "Probl\u00E9m setk\u00E1v\u00E1n\u00ED v kvantov\u00FDch proch\u00E1zk\u00E1ch"@cs . . . "The Meeting Problem in the Quantum Random Walk" . "Journal of Physics A: Mathematical and General" . "We study the motion of two non-interacting quantum particles performing a random walk on a line and analyze the probability that the two particles are detected at a particular position after a certain number of steps (meeting problem). The results are compared to the corresponding classical problem and differences are pointed out. Analytic formulas for the meeting probability and its asymptotic behavior are derived. The decay of the meeting probability for distinguishable particles is faster than in the classical case, but not quadratically. Entangled initial states and the bosonic or fermionic nature of the walkers are considered."@en . "Jex, Igor" . . "4"^^ . "Probl\u00E9m setk\u00E1v\u00E1n\u00ED v kvantov\u00FDch proch\u00E1zk\u00E1ch"@cs . "We study the motion of two non-interacting quantum particles performing a random walk on a line and analyze the probability that the two particles are detected at a particular position after a certain number of steps (meeting problem). The results are compared to the corresponding classical problem and differences are pointed out. Analytic formulas for the meeting probability and its asymptotic behavior are derived. The decay of the meeting probability for distinguishable particles is faster than in the classical case, but not quadratically. Entangled initial states and the bosonic or fermionic nature of the walkers are considered." . "14965;14983" . "2"^^ . "Mohring, B." . "\u0160tefa\u0148\u00E1k, Martin" . . "0305-4470" . "entanglement; random walk"@en . "P(GA202/04/2101), P(LC06002)" . "GB - Spojen\u00E9 kr\u00E1lovstv\u00ED Velk\u00E9 Brit\u00E1nie a Severn\u00EDho Irska" . "Kiss, T." . "The Meeting Problem in the Quantum Random Walk"@en . . . "The Meeting Problem in the Quantum Random Walk"@en . . .