The anyonic recovery of parity-time symmetry in coupled circuits system

Abstract

Hermiticity is the fundamental property of the physical systems, for which it should obey the laws of energy conservation and time-reversal symmetry. Parity-time symmetry is introduced to study the non-Hermitian system with real energy spectra. Considering the coupling dissipation of the practical system, there would be phase-related terms on the non-diagonal elements of the Hermitian matrix. Here in this work, we present a coupled circuit model of the system and investigate the dynamics of parity-time-anyonic Hamiltonian related to an arbitrary phase of the system. We find that parity-time symmetry can be achieved under the tunable phases in the quasi-parity-time symmetric circuit system.

Iteration-free digital quantum simulation of imaginary-time evolution based on the approximate unitary expansion

“…-In recent years, the rapid development of quantum information has shown us its potential in improving the computing power [1][2][3], communication security [4,5] and measurement accuracy [6,7], and it has become one of the most popular research fields at present. Many proposed quantum algorithms beyond classical algorithms [8][9][10][11] and the research progresses of various physical experimental platforms [12][13][14][15][16][17][18][19][20][21], especially the realization of quantum supremacy [12][13][14][15], have steadily promoted the development of quantum computers from the laboratory to the stage of commercial application [22][23][24]. Among many potential application scenarios of quantum computing, quantum algorithms for determining the ground states of a Hamiltonian are of great significance for quantum chemistry [24], combinatorial optimization problems [25] and so on.…”