Quantum simulation of a discrete-time quantum stochastic walk
| Autor: | Luke C. G. Govia, Peter K. Schuhmacher, Bruno G. Taketani, Frank K. Wilhelm |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Quantum Physics
Computer science Generalization General Physics and Astronomy Quantum simulator FOS: Physical sciences Topology (electrical circuits) Topology Range (mathematics) Discrete time and continuous time Quantum walk ddc:530 Quantum Physics (quant-ph) Protocol (object-oriented programming) Quantum |
| Zdroj: | epl 133(5), 50003-(2021). doi:10.1209/0295-5075/133/50003 |
| DOI: | 10.1209/0295-5075/133/50003 |
| Popis: | Quantum walks have been shown to have a wide range of applications, from artificial intelligence, to photosynthesis, and quantum transport. Quantum stochastic walks (QSWs) generalize this concept to additional non-unitary evolution. In this paper, we propose a trajectory-based quantum simulation protocol to effectively implement a family of discrete-time QSWs in a quantum device. After deriving the protocol for a 2-vertex graph with a single edge, we show how our protocol generalizes to a graph with arbitrary topology and connectivity. The straightforward generalization leads to simple scaling of the protocol to complex graphs. Finally, we show how to simulate a restricted class of continuous-time QSWs by a discrete-time QSW, and how this is amenable to our simulation protocol for discrete-time QSWs. |
| Databáze: | OpenAIRE |
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