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Real- and Imaginary-Time Evolution with Compressed Quantum Circuits

delete2021-03-15
delete131
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OA
AI
S
Sheng-Hsuan Lin *
R
Rohit Dilip
A
A. G. Green
A
Adam Smith
F
Frank Pollmann
DOI:10.1103/PRXQuantum.2.010342delete
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Abstract

Abstract

En 中文
The current generation of noisy intermediate-scale quantum computers introduces new opportunities to study quantum many-body systems. In this paper, we show that quantum circuits can provide a dramatically more efficient representation than current classical numerics of the quantum states generated under nonequilibrium quantum dynamics. For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers. We benchmark the algorithms by finding the ground state and simulating a global quench of the transverse-field Ising model with a longitudinal field on a classical computer. Furthermore, we implement (classically optimized) gates on a quantum processing unit and demonstrate that our algorithm effectively captures real-time evolution.
Keywords:
DYNAMICS

Journal

P
PRX Quantum
IF:
11
Papers:
919
Citations:
9.0K

Organization

U
University College London
Scholars:
7.9W
Papers: 6.2W
Citations: 15.7W
T
Technical University of Munich
Scholars:
5.2W
Papers: 3.9W
Citations: 6.2W