Non-Hermitian Quantum Annealing and Superradiance

TL;DR

This paper explores non-Hermitian quantum annealing applied to a 1D Ising spin chain, demonstrating reduced annealing time and linking it to superradiance transitions, offering potential improvements over traditional methods.

Contribution

It introduces non-Hermitian quantum annealing for large qubit systems and establishes its connection with superradiance, showing advantages over Hermitian approaches.

Findings

Reduced annealing time with non-Hermitian algorithm

Connection between non-Hermitian annealing and superradiance transition

Enhanced efficiency in large qubit systems

Abstract

We consider the non-Hermitian quantum annealing for the one-dimentional Ising spin chain, and for a large number of qubits. We show that the annealing time is significanly reduced for the non-Hermitian algorithm in comparison with the Hermitian one. We also demonstrtate the relation of the non-Hermitian quantum annealing with the superadiance transition in this system.