Quantum Simulation with a Boson Sampling Circuit

Abstract

In this work we study a system that consists of $2M$ matter qubits that interact through a boson sampling circuit, i.e., an $M$-port interferometer, embedded in two different architectures. We prove that, under the conditions required to derive a master equation, the qubits evolve according to effective bipartite XY spin Hamiltonians, with or without local and collective dissipation terms. This opens the door to the simulation of any bipartite spin or hard-core boson models and exploring dissipative phase transitions as the competition between coherent and incoherent exchange of excitations. We also show that in the purely dissipative regime this model has a large number of exact and approximate dark states, whose structure and decay rates can be estimated analytically. We finally argue that this system may be used for the adiabatic preparation of boson sampling states encoded in the matter qubits.

9 pages, 3 figures

References in corpus (12)

• Silica-on-Silicon Waveguide Quantum Circuits
• Photonic Boson Sampling in a Tunable Circuit
• Nanophotonic quantum phase switch with a single atom
• Entanglement of two qubits mediated by one-dimensional plasmonic waveguides
• Experimental realization of highly-efficient broadband coupling of single quantum dots to a photonic crystal waveguide
• Mott-insulating and glassy phases of polaritons in 1D arrays of coupled cavities
• Mesoscopic Entanglement Induced by Spontaneous Emission in Solid-State Quantum Optics
• Scalable boson-sampling with time-bin encoding using a loop-based architecture
• Linear Optical Quantum Metrology with Single Photons: Exploiting Spontaneously Generated Entanglement to Beat the Shot-Noise Limit
• Non-equilibrium dynamics of coupled qubit-cavity arrays
• Dynamical polaron ansatz: a theoretical tool for the ultra-strong coupling regime of circuit QED
• A Superconducting 180° Hybrid Ring Coupler for circuit Quantum Electrodynamics

Cited by in corpus (5)

• Photonic quantum information processing: a review
• Generation and sampling of quantum states of light in a silicon chip
• Superconducting qubit circuit emulation of a vector spin-1/2
• Monitoring-induced Entanglement Entropy and Sampling Complexity
• Photonic Simulation of Localization Phenomena Using Boson Sampling