Limit distribution of a time-dependent quantum walk on the half line
| Autor: | Takuya Machida |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
FOS: Physical sciences
01 natural sciences 010305 fluids & plasmas Theoretical Computer Science Superposition principle Quantum mechanics 0103 physical sciences FOS: Mathematics Quantum walk Limit (mathematics) Electrical and Electronic Engineering 010306 general physics Quantum Quantum computer Physics Quantum Physics Probability (math.PR) Time evolution Statistical and Nonlinear Physics State (functional analysis) Electronic Optical and Magnetic Materials Modeling and Simulation Signal Processing Line (geometry) Quantum Physics (quant-ph) Mathematics - Probability |
| Popis: | We focus on a 2-period time-dependent quantum walk on the half line in this paper. The quantum walker launches at the edge of the half line in a localized superposition state and its time evolution is carried out with two unitary operations which are alternately cast to the quantum walk. As a result, long-time limit finding probabilities of the quantum walk turn to be determined by either one of the two operations, but not both. More interestingly, the limit finding probabilities are independent from the localized initial state. We will approach the appreciated features via a quantum walk on the line which is able to reproduce the time-dependent walk on the half line. 20 pages, 14 figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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