Lin, Sheng-Hsuan;
Dilip, Rohit;
Green, Andrew G;
Smith, Adam;
Pollmann, Frank;
(2021)
Real- and Imaginary-Time Evolution with Compressed Quantum Circuits.
PRX Quantum
, 2
(1)
, Article 010342. 10.1103/PRXQuantum.2.010342.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Real- and Imaginary-Time Evolution with Compressed Quantum Circuits |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/PRXQuantum.2.010342 |
| Publisher version: | https://doi.org/10.1103/PRXQuantum.2.010342 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. |
| Keywords: | Science & Technology, Physical Sciences, Quantum Science & Technology, Physics, Applied, Physics, Multidisciplinary, Physics, DYNAMICS |
| UCL classification: | UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > London Centre for Nanotechnology UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10158072 |
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