Quantum simulation of topologically protected states using directionally unbiased linear-optical multiports
arXiv:1708.00038 · doi:10.1103/PhysRevA.96.013858
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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- Topological characterization of chiral models through their long time dynamics
- Experimental demonstration of a directionally-unbiased linear-optical multiport
- Quantum-Clustered Two-Photon Walks
- Implementation of a 3 x 3 directionally-unbiased linear optical multiport
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- Directionally-Unbiased Unitary Optical Devices in Discrete-Time Quantum Walks
- Single-photon description of the lossless optical Y coupler