Programmable Superpositions of Ising Configurations

TL;DR

This paper introduces a method to prepare superpositions of Ising spin configurations with programmable probabilities using a lattice-gauge representation, combining adiabatic and diabatic dynamics for efficient control.

Contribution

It presents a novel framework leveraging gauge degrees of freedom to deterministically prepare superpositions of many-body spin states.

Findings

Effective control parameters can be efficiently determined for large systems.

The framework enables programmable superpositions with tunable probabilities.

The method combines adiabatic and controlled diabatic transitions for state preparation.

Abstract

We present a framework to prepare superpositions of bit strings, i.e., many-body spin configurations, with deterministic programmable probabilities. The spin configurations are encoded in the degenerate ground states of the lattice-gauge representation of an all-to-all connected Ising spin glass. The ground state manifold is invariant under variations of the gauge degrees of freedom, which take the form of four-body parity constraints. Our framework makes use of these degrees of freedom by individually tuning them to dynamically prepare programmable superpositions. The dynamics combines an adiabatic protocol with controlled diabatic transitions. We derive an effective model that allows one to determine the control parameters efficiently even for large system sizes.