Quantum Simulation Architecture for Lattice Bosons in Arbitrary, Tunable External Gauge Fields

TL;DR

This paper proposes a tunable quantum simulation architecture using coupled flux qubits to emulate charged bosons in magnetic fields, enabling exploration of topological phases and anyonic excitations.

Contribution

It introduces a novel lattice qubit design with adjustable complex hopping phases for simulating lattice bosons in magnetic fields, including strongly interacting regimes.

Findings

Tunable complex hopping phases achieved by phase adjustments.

Realization of strongly interacting bosonic quantum Hall states.

Potential for topological quantum computation.

Abstract

We describe a lattice of asymmetrical qubit pairs in one or two dimensions, with couplings arranged so that the motion of single-qubit excited states mimics the behavior of charged lattice bosons hopping in a magnetic field. We show in particular that one can choose the parameters of the many-body circuit to reach a regime where the complex hopping phase between any two elements can be tuned to any value by simply adjusting the relative phases of two applied oscillating voltage signals. We also propose a specific realization of our model using coupled three junction flux qubits, in which one can reach the strongly interacting bosonic quantum Hall limit where one will find anyonic excitations. The circuits could be used for topological quantum computation.