Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control
Quantum many-body scars are an intriguing dynamical regime in which quantum systems exhibit coherent dynamics and long-range correlations when prepared in certain initial states. We use this combination of coherence and many-body correlations to benchmark the performance of present-day quantum compu...
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2022-10-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.043027 |
| _version_ | 1797210671903932416 |
|---|---|
| author | I-Chi Chen Benjamin Burdick Yongxin Yao Peter P. Orth Thomas Iadecola |
| author_facet | I-Chi Chen Benjamin Burdick Yongxin Yao Peter P. Orth Thomas Iadecola |
| author_sort | I-Chi Chen |
| collection | DOAJ |
| description | Quantum many-body scars are an intriguing dynamical regime in which quantum systems exhibit coherent dynamics and long-range correlations when prepared in certain initial states. We use this combination of coherence and many-body correlations to benchmark the performance of present-day quantum computing devices by using them to simulate the dynamics of an antiferromagnetic initial state in mixed-field Ising chains of up to 19 sites. In addition to calculating the dynamics of local observables, we also calculate the Loschmidt echo and a nontrivial unequal-time connected correlation function that witnesses long-range many-body correlations in the scarred dynamics. We find coherent dynamics to persist over up to 40 Trotter steps even in the presence of various sources of error. To obtain these results, we leverage a variety of error-mitigation techniques including noise tailoring, zero-noise extrapolation, dynamical decoupling, and physically motivated postselection of measurement results. Crucially, we also find that using pulse-level control to implement the Ising interaction yields a substantial improvement over the standard controlled-not-based compilation of this interaction. Our results demonstrate the power of error-mitigation techniques and pulse-level control to probe many-body coherence and correlation effects on present-day quantum hardware. |
| first_indexed | 2024-04-24T10:14:18Z |
| format | Article |
| id | doaj.art-bae6f4cde2e0422faa5f9fbeda2c9045 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:14:18Z |
| publishDate | 2022-10-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-bae6f4cde2e0422faa5f9fbeda2c90452024-04-12T17:25:15ZengAmerican Physical SocietyPhysical Review Research2643-15642022-10-014404302710.1103/PhysRevResearch.4.043027Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level controlI-Chi ChenBenjamin BurdickYongxin YaoPeter P. OrthThomas IadecolaQuantum many-body scars are an intriguing dynamical regime in which quantum systems exhibit coherent dynamics and long-range correlations when prepared in certain initial states. We use this combination of coherence and many-body correlations to benchmark the performance of present-day quantum computing devices by using them to simulate the dynamics of an antiferromagnetic initial state in mixed-field Ising chains of up to 19 sites. In addition to calculating the dynamics of local observables, we also calculate the Loschmidt echo and a nontrivial unequal-time connected correlation function that witnesses long-range many-body correlations in the scarred dynamics. We find coherent dynamics to persist over up to 40 Trotter steps even in the presence of various sources of error. To obtain these results, we leverage a variety of error-mitigation techniques including noise tailoring, zero-noise extrapolation, dynamical decoupling, and physically motivated postselection of measurement results. Crucially, we also find that using pulse-level control to implement the Ising interaction yields a substantial improvement over the standard controlled-not-based compilation of this interaction. Our results demonstrate the power of error-mitigation techniques and pulse-level control to probe many-body coherence and correlation effects on present-day quantum hardware.http://doi.org/10.1103/PhysRevResearch.4.043027 |
| spellingShingle | I-Chi Chen Benjamin Burdick Yongxin Yao Peter P. Orth Thomas Iadecola Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control Physical Review Research |
| title | Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control |
| title_full | Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control |
| title_fullStr | Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control |
| title_full_unstemmed | Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control |
| title_short | Error-mitigated simulation of quantum many-body scars on quantum computers with pulse-level control |
| title_sort | error mitigated simulation of quantum many body scars on quantum computers with pulse level control |
| url | http://doi.org/10.1103/PhysRevResearch.4.043027 |
| work_keys_str_mv | AT ichichen errormitigatedsimulationofquantummanybodyscarsonquantumcomputerswithpulselevelcontrol AT benjaminburdick errormitigatedsimulationofquantummanybodyscarsonquantumcomputerswithpulselevelcontrol AT yongxinyao errormitigatedsimulationofquantummanybodyscarsonquantumcomputerswithpulselevelcontrol AT peterporth errormitigatedsimulationofquantummanybodyscarsonquantumcomputerswithpulselevelcontrol AT thomasiadecola errormitigatedsimulationofquantummanybodyscarsonquantumcomputerswithpulselevelcontrol |