Limit distribution of a time-dependent quantum walk on the half line
We focus on a two-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 casted to the quantum walk. As a r...
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| Veröffentlicht in: | Quantum information processing 2020-08, Vol.19 (9), Article 296 |
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| creator | Machida, Takuya |
| description | We focus on a two-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 casted 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. |
| doi_str_mv | 10.1007/s11128-020-02802-6 |
| format | Article |
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| subjects | Data Structures and Information Theory Mathematical Physics Physics Physics and Astronomy Quantum Computing Quantum Information Technology Quantum Physics Spintronics Time dependence |
| title | Limit distribution of a time-dependent quantum walk on the half line |
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