Variational Quantum Monte Carlo Method with a Neural-Network Ansatz for Open Quantum Systems

The possibility to simulate the properties of many-body open quantum systems with a large number of degrees of freedom (d.o.f.) is the premise to the solution of several outstanding problems in quantum science and quantum information. The challenge posed by this task lies in the complexity of the density matrix increasing exponentially with the system size. Here, we develop a variational method to efficiently simulate the nonequilibrium steady state of Markovian open quantum systems based on variational Monte Carlo methods and on a neural network representation of the density matrix. Thanks to the stochastic reconfiguration scheme, the application of the variational principle is translated into the actual integration of the quantum master equation. We test the effectiveness of the method by modeling the two-dimensional dissipative XYZ spin model on a lattice.


Published in:
Physical Review Letters, 122, 25, 250501
Year:
Jun 28 2019
Publisher:
College Pk, AMER PHYSICAL SOC
ISSN:
0031-9007
1079-7114
Laboratories:




 Record created 2019-07-13, last modified 2019-08-30


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)