Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit

TL;DR

This paper demonstrates a quantum circuit-based method to simulate non-Hermitian systems with exceptional points, enabling exploration of higher-order EPs and phase transitions in a scalable, flexible manner.

Contribution

It introduces a novel quantum circuit approach for simulating non-Hermitian systems with exceptional points, surpassing traditional experimental limitations.

Findings

Successful demonstration of phase transition at EP in a quantum circuit

Capability to simulate large-scale systems with higher-order EPs

Potential for broader applications in quantum computing and non-Hermitian physics

Abstract

Exceptional points (EPs), the degeneracy point of non-Hermitian systems, have recently attracted great attention after its ability to greatly enhance the sensitivity of micro-cavities is demonstrated experimentally. Unlike the usual degeneracies in Hermitian systems, at EPs, both the eigenenergies and eigenvectors coalesce. Although some of the exotic properties and potential applications of EPs are explored, the range of EPs studied is largely limited by the experimental capability. Some of the systems, e.g. with higher-order EPs, are hard to achieve with conventional simulations. Here we propose an extendable method to simulate non-Hermitian systems on the quantum circuits, where a wide range of EPs can be studied. The system is inherently parity-time (PT) broken due to the non-symmetric controlling effects and post-selection. A sample circuit is implemented in a quantum programming framework, and the phase transition at EP is demonstrated. Considering the scalable and flexible nature of quantum circuits, our model is capable of simulating large scale systems with higher-order EPs. We believe this work may lead to broader applications of quantum computers and provide a tool to the studies for non-Hermitian systems and the associated EPs.