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Quantum Simulation

Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports

arXiv
Authors: David S. Simon, Casey A. Fitzpatrick, Shuto Osawa, Alexander V. Sergienko

Year

2017

Paper ID

44286

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

It is shown that quantum walks on one-dimensional arrays of special linear-optical units allow the simulation of discrete-time Hamiltonian systems with distinct topological phases. In particular, a slightly modified version of the Su-Schrieffer-Heeger (SSH) system can be simulated, which exhibits states of nonzero winding number and has topologically protected boundary states. In the large-system limit this approach uses quadratically fewer resources to carry out quantum simulations than previous linear-optical approaches and can be readily generalized to higher-dimensional systems. The basic optical units that implement this simulation consist of combinations of optical multiports that allow photons to reverse direction.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • It is shown that quantum walks on one-dimensional arrays of special linear-optical units allow the simulation of discrete-time Hamiltonian systems with distinct topological phases.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1708.00038 [2] arXiv https://arxiv.org/abs/1708.00038 [3] Publisher https://arxiv.org/abs/1708.00038

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