Autor: |
Luna Lima e Silva, Daniel Jost Brod |
Jazyk: |
angličtina |
Rok vydání: |
2024 |
Předmět: |
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Zdroj: |
Quantum, Vol 8, p 1308 (2024) |
Druh dokumentu: |
article |
ISSN: |
2521-327X |
DOI: |
10.22331/q-2024-04-04-1308 |
Popis: |
Quantum walks have been used to develop quantum algorithms since their inception, and can be seen as an alternative to the usual circuit model; combining single-particle quantum walks on sparse graphs with two-particle scattering on a line lattice is sufficient to perform universal quantum computation. In this work we solve the problem of two-particle scattering on the line lattice for a family of interactions without translation invariance, recovering the Bose-Hubbard interaction as the limiting case. Due to its generality, our systematic approach lays the groundwork to solve the more general problem of multi-particle scattering on general graphs, which in turn can enable design of different or simpler quantum gates and gadgets. As a consequence of this work, we show that a CPHASE gate can be achieved with high fidelity when the interaction acts only on a small portion of the line graph. |
Databáze: |
Directory of Open Access Journals |
Externí odkaz: |
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