Quantum simulation of discrete-time Hamiltonians 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 discrete-time Hamiltonians using directionally unbiased linear optical multiports." PHYSICAL REVIEW A, Volume 95, Issue 4, pp. ? - ? (10).
Recently, a generalization of the standard optical multiport was proposed [Phys. Rev. A 93, 043845 (2016)]. These directionally unbiased multiports allow photons to reverse direction and exit backwards from the input port, providing a realistic linear optical scattering vertex for quantum walks on arbitrary graph structures. Here, it is shown that arrays of these multiports allow the simulation of a range of discrete-time Hamiltonian systems. Examples are described, including a case where both spatial and internal degrees of freedom are simulated. Because input ports also double as output ports, there is substantial savings of resources compared to feed-forward networks carrying out the same functions. The simulation is implemented in a scalable manner using only linear optics, and can be generalized to higher dimensional systems in a straightforward fashion, thus offering a concrete experimentally achievable implementation of graphical models of discrete-time quantum systems.