Real- and Imaginary-Time Evolution with Compressed Quantum Circuits

The current generation of noisy intermediate-scale quantum computers introduces new opportunities to study many-body systems. In this paper, we show that circuits can provide a dramatically more efficient representation than classical numerics the states generated under nonequilibrium dynamics. For circuits, perform both real- and imaginary-time evolution using an optimization algorithm is feasible on near-term computers. We benchmark algorithms by finding ground state simulating global quench transverse-field Ising model with longitudinal field computer. Furthermore, implement (classically optimized) gates processing unit demonstrate our effectively captures real-time evolution.5 MoreReceived 14 September 2020Revised 16 December 2020Accepted 18 February 2021DOI:https://doi.org/10.1103/PRXQuantum.2.010342Published American Physical Society terms Creative Commons Attribution 4.0 International license. Further distribution work must maintain attribution author(s) published article's title, journal citation, DOI.Published SocietyPhysics Subject Headings (PhySH)Research AreasQuantum algorithmsQuantum computationQuantum simulationTechniquesComputational complexityMatrix product statesCondensed Matter, Materials & Applied PhysicsQuantum Information