Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations
Abstract
Scalable quantum algorithms for the simulation of quantum many-body systems in thermal equilibrium are important for predicting properties of quantum matter at finite temperatures. Here we describe and benchmark a quantum computing version of the minimally entangled typical thermal states (METTS) algorithm for which we adopt an adaptive variational approach to perform the required quantum imaginary time evolution. The algorithm, which we name AVQMETTS, dynamically generates compact and problem-specific quantum circuits, which are suitable for noisy intermediate-scale quantum (NISQ) hardware. We benchmark AVQMETTS on statevector simulators and perform thermal energy calculations of integrable and nonintegrable quantum spin models in one and two dimensions and demonstrate an approximately linear system-size scaling of the circuit complexity. Furthermore, we further map out the finite-temperature phase transition line of the two-dimensional transverse field Ising model. Finally, we study the impact of noise on AVQMETTS calculations using a phenomenological noise model.
- Authors:
-
- Ames Laboratory
- Ames Laboratory, Iowa State University
- Saarland University, Ames Laboratory, Iowa State University
- Publication Date:
- Research Org.:
- Ames Laboratory (AMES), Ames, IA (United States)
- Sponsoring Org.:
- USDOE; USDOE Office of Science (SC), Basic Energy Sciences (BES). Materials Sciences & Engineering Division (MSE)
- OSTI Identifier:
- 2001031
- Alternate Identifier(s):
- OSTI ID: 2202981
- Report Number(s):
- IS-J-11,170
Journal ID: ISSN 2542-4653; 102
- Grant/Contract Number:
- AC02-07CH11358
- Resource Type:
- Published Article
- Journal Name:
- SciPost Physics
- Additional Journal Information:
- Journal Name: SciPost Physics Journal Volume: 15 Journal Issue: 3; Journal ID: ISSN 2542-4653
- Publisher:
- Stichting SciPost
- Country of Publication:
- Netherlands
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Getelina, João C., Gomes, Niladri, Iadecola, Thomas, Orth, Peter P., and Yao, Yong-Xin. Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations. Netherlands: N. p., 2023.
Web. doi:10.21468/SciPostPhys.15.3.102.
Getelina, João C., Gomes, Niladri, Iadecola, Thomas, Orth, Peter P., & Yao, Yong-Xin. Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations. Netherlands. https://doi.org/10.21468/SciPostPhys.15.3.102
Getelina, João C., Gomes, Niladri, Iadecola, Thomas, Orth, Peter P., and Yao, Yong-Xin. Tue .
"Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations". Netherlands. https://doi.org/10.21468/SciPostPhys.15.3.102.
@article{osti_2001031,
title = {Adaptive variational quantum minimally entangled typical thermal states for finite temperature simulations},
author = {Getelina, João C. and Gomes, Niladri and Iadecola, Thomas and Orth, Peter P. and Yao, Yong-Xin},
abstractNote = {Scalable quantum algorithms for the simulation of quantum many-body systems in thermal equilibrium are important for predicting properties of quantum matter at finite temperatures. Here we describe and benchmark a quantum computing version of the minimally entangled typical thermal states (METTS) algorithm for which we adopt an adaptive variational approach to perform the required quantum imaginary time evolution. The algorithm, which we name AVQMETTS, dynamically generates compact and problem-specific quantum circuits, which are suitable for noisy intermediate-scale quantum (NISQ) hardware. We benchmark AVQMETTS on statevector simulators and perform thermal energy calculations of integrable and nonintegrable quantum spin models in one and two dimensions and demonstrate an approximately linear system-size scaling of the circuit complexity. Furthermore, we further map out the finite-temperature phase transition line of the two-dimensional transverse field Ising model. Finally, we study the impact of noise on AVQMETTS calculations using a phenomenological noise model.},
doi = {10.21468/SciPostPhys.15.3.102},
journal = {SciPost Physics},
number = 3,
volume = 15,
place = {Netherlands},
year = {Tue Sep 19 00:00:00 EDT 2023},
month = {Tue Sep 19 00:00:00 EDT 2023}
}
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