Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer
The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While they are well established theoretically and also experimenta...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2023-11-01
|
| Series: | Physical Review X |
| Online Access: | http://doi.org/10.1103/PhysRevX.13.041023 |
| _version_ | 1827774314444750848 |
|---|---|
| author | Dominik Hahn Maxime Dupont Markus Schmitt David J. Luitz Marin Bukov |
| author_facet | Dominik Hahn Maxime Dupont Markus Schmitt David J. Luitz Marin Bukov |
| author_sort | Dominik Hahn |
| collection | DOAJ |
| description | The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While they are well established theoretically and also experimental realizations for few-body systems already exist, their experimental validity in the quantum many-body regime has not been observed so far. Here, we present results for nonequilibrium protocols in systems with up to 16 interacting degrees of freedom obtained on trapped ion and superconducting qubit quantum computers, which test the quantum Jarzynski equality and the Crooks relation in the many-body regime. To achieve this, we overcome present-day limitations in the preparation of thermal ensembles and in the measurement of work distributions on noisy intermediate-scale quantum devices. We discuss the accuracy to which the Jarzynski equality holds on different quantum computing platforms subject to platform-specific errors. The analysis reveals the validity of Jarzynski’s equality in a regime with energy dissipation, compensated for by a fast unitary drive. This provides new insights for analyzing errors in many-body quantum simulators. |
| first_indexed | 2024-03-11T13:35:42Z |
| format | Article |
| id | doaj.art-bcde6b8c1abc41a0972dcb64beba06b2 |
| institution | Directory Open Access Journal |
| issn | 2160-3308 |
| language | English |
| last_indexed | 2024-03-11T13:35:42Z |
| publishDate | 2023-11-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review X |
| spelling | doaj.art-bcde6b8c1abc41a0972dcb64beba06b22023-11-02T15:49:49ZengAmerican Physical SocietyPhysical Review X2160-33082023-11-0113404102310.1103/PhysRevX.13.041023Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum ComputerDominik HahnMaxime DupontMarkus SchmittDavid J. LuitzMarin BukovThe quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While they are well established theoretically and also experimental realizations for few-body systems already exist, their experimental validity in the quantum many-body regime has not been observed so far. Here, we present results for nonequilibrium protocols in systems with up to 16 interacting degrees of freedom obtained on trapped ion and superconducting qubit quantum computers, which test the quantum Jarzynski equality and the Crooks relation in the many-body regime. To achieve this, we overcome present-day limitations in the preparation of thermal ensembles and in the measurement of work distributions on noisy intermediate-scale quantum devices. We discuss the accuracy to which the Jarzynski equality holds on different quantum computing platforms subject to platform-specific errors. The analysis reveals the validity of Jarzynski’s equality in a regime with energy dissipation, compensated for by a fast unitary drive. This provides new insights for analyzing errors in many-body quantum simulators.http://doi.org/10.1103/PhysRevX.13.041023 |
| spellingShingle | Dominik Hahn Maxime Dupont Markus Schmitt David J. Luitz Marin Bukov Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer Physical Review X |
| title | Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer |
| title_full | Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer |
| title_fullStr | Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer |
| title_full_unstemmed | Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer |
| title_short | Quantum Many-Body Jarzynski Equality and Dissipative Noise on a Digital Quantum Computer |
| title_sort | quantum many body jarzynski equality and dissipative noise on a digital quantum computer |
| url | http://doi.org/10.1103/PhysRevX.13.041023 |
| work_keys_str_mv | AT dominikhahn quantummanybodyjarzynskiequalityanddissipativenoiseonadigitalquantumcomputer AT maximedupont quantummanybodyjarzynskiequalityanddissipativenoiseonadigitalquantumcomputer AT markusschmitt quantummanybodyjarzynskiequalityanddissipativenoiseonadigitalquantumcomputer AT davidjluitz quantummanybodyjarzynskiequalityanddissipativenoiseonadigitalquantumcomputer AT marinbukov quantummanybodyjarzynskiequalityanddissipativenoiseonadigitalquantumcomputer |