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

Quantum Simulation of Complex Physical Hamiltonians using Directionally Unbiased Linear-Optical Multiports

Quantum simulation of discrete-time Hamiltonians using directionally unbiased linear optical multiports

David S. Simon,1,2,* Casey A. Fitzpatrick,2,† Shuto Osawa,2,‡ and Alexander V. Sergienko2,3,§ 1Department of Physics and Astronomy, Stonehill College, 320 Washington Street, Easton, Massachusetts 02357, USA 2Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s St., Boston, Massachusetts 02215, USA 3Department of Physics, Boston University, 590 ...

Group transformations and entangled-state quantum gates with directionally unbiased linear-optical multiports

David S. Simon,1,2,* Casey A. Fitzpatrick,2,† and Alexander V. Sergienko2,3,‡ 1Department of Physics and Astronomy, Stonehill College, 320 Washington Street, Easton, Massachusetts 02357, USA 2Department of Electrical and Computer Engineering & Photonics Center, Boston University, 8 Saint Mary’s Street, Boston, Massachusetts 02215, USA 3Department of Physics, Boston University, 590 Commonwealth ...

Emulating non-Abelian topological matter in cold-atom optical lattices

Certain proposed extended Bose-Hubbard models may exhibit topologically ordered ground states with excitations obeying non-Abelian braid statistics. A sufficient tuning of Hubbard parameters could yield excitation braiding rules allowing implementation of a universal set of topologically protected quantum gates. We discuss potential difficulties in realizing a model with a proposed non-Abelian ...

Topological Quantum Optics in Two-Dimensional Atomic Arrays.

We demonstrate that two-dimensional atomic emitter arrays with subwavelength spacing constitute topologically protected quantum optical systems where the photon propagation is robust against large imperfections while losses associated with free space emission are strongly suppressed. Breaking time-reversal symmetry with a magnetic field results in gapped photonic bands with nontrivial Chern num...