2020
DOI: 10.1038/s41598-020-78455-3
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Quantum control using quantum memory

Abstract: We propose a new quantum numerical scheme to control the dynamics of a quantum walker in a two dimensional space–time grid. More specifically, we show how, introducing a quantum memory for each of the spatial grid, this result can be achieved simply by acting on the initial state of the whole system, and therefore can be exactly controlled once for all. As example we prove analytically how to encode in the initial state any arbitrary walker’s mean trajectory and variance. This brings significantly closer the p… Show more

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Cited by 2 publications
(2 citation statements)
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References 32 publications
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“…Therefore, quantum walks with memory provide the opportunity to simulate arbitrary dynamics, including classical statistics, on a quantum device. For this reason, quantum walks with memory are of great interest in computing [57,58] and high energy physics [30].…”
Section: The Quantum Parton Shower Algorithmmentioning
confidence: 99%
“…Therefore, quantum walks with memory provide the opportunity to simulate arbitrary dynamics, including classical statistics, on a quantum device. For this reason, quantum walks with memory are of great interest in computing [57,58] and high energy physics [30].…”
Section: The Quantum Parton Shower Algorithmmentioning
confidence: 99%
“…Therefore, quantum walks with memory provide the opportunity to simulate arbitrary dynamics, including classical statistics, on a quantum device. For this reason, quantum walks with memory are of great interest in computing [57,58] and high energy physics [30].…”
Section: Jhep11(2022)035mentioning
confidence: 99%