A new type of spectral mapping theorem for quantum walks with a moving shift on graphs
The conventional spectral mapping theorem for quantum walks can only be applied for walks employing a shift operator whose square is the identity. This theorem gives most of the eigenvalues of the time evolution U by lifting the eigenvalues of an induced self-adjoint matrix T onto the unit circle on...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2022
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| Subjects: | |
| Online Access: | View Fulltext in Publisher |