Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports
Simon, David S.
Fitzpatrick, Casey A.
Sergienko, Alexander V.
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CitationDavid S. Simon, Casey A. Fitzpatrick, Shuto Osawa, Alexander V. Sergienko. 2017. "Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports." PHYSICAL REVIEW A, Volume 96, Issue 1, pp. ? - ? (8).
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.