Limit theorems for the interference terms of discrete-time quantum walks on the line
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The probability distributions of discrete-time quantum walks have been often investigated, and many interesting properties of them have been discovered. The probability that the walker can be find at a position is defined by diagonal elements of the density matrix. On the other hand, although off-diagonal parts of the density matrices have an important role to quantify quantumness, they have not received attention in quantum walks. We focus on the off-diagonal parts of the density matrices for discrete-time quantum walks on the line and derive limit theorems for them.
2009 ◽
Vol 15
(3)
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pp. 423-429
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2020 ◽
Vol 53
(15)
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pp. 155303
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2010 ◽
Vol 77
(4)
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pp. 479-488
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2018 ◽
Vol 29
(10)
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pp. 1850098
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2020 ◽
Vol 315
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pp. 48-58
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