SchWARMA: A model-based approach for time-correlated noise in quantum circuits
Temporal noise correlations are ubiquitous in quantum systems, yet often neglected in the analysis of quantum circuits due to the complexity required to accurately characterize and model them. Autoregressive moving average (ARMA) models are a well-known technique from time series analysis that model...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2021-09-01
|
| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.3.033229 |
| _version_ | 1797210961668472832 |
|---|---|
| author | Kevin Schultz Gregory Quiroz Paraj Titum B. D. Clader |
| author_facet | Kevin Schultz Gregory Quiroz Paraj Titum B. D. Clader |
| author_sort | Kevin Schultz |
| collection | DOAJ |
| description | Temporal noise correlations are ubiquitous in quantum systems, yet often neglected in the analysis of quantum circuits due to the complexity required to accurately characterize and model them. Autoregressive moving average (ARMA) models are a well-known technique from time series analysis that model time correlations in data. By identifying the space of completely positive trace preserving (CPTP) quantum operations with a particular matrix manifold, we generalize ARMA models to the space of CPTP maps to parametrize and simulate temporally correlated noise in quantum circuits. This approach, denoted Schrödinger wave ARMA (SchWARMA), provides a natural path for generalization of classic techniques from signal processing, control theory, and system identification for which ARMA models and linear systems are essential. This enables the broad theory of classical signal processing to be applied to quantum system simulation, characterization, and noise mitigation. |
| first_indexed | 2024-04-24T10:18:55Z |
| format | Article |
| id | doaj.art-dbcb293c3f094833b1d28576cfa0708a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:18:55Z |
| publishDate | 2021-09-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-dbcb293c3f094833b1d28576cfa0708a2024-04-12T17:13:44ZengAmerican Physical SocietyPhysical Review Research2643-15642021-09-013303322910.1103/PhysRevResearch.3.033229SchWARMA: A model-based approach for time-correlated noise in quantum circuitsKevin SchultzGregory QuirozParaj TitumB. D. CladerTemporal noise correlations are ubiquitous in quantum systems, yet often neglected in the analysis of quantum circuits due to the complexity required to accurately characterize and model them. Autoregressive moving average (ARMA) models are a well-known technique from time series analysis that model time correlations in data. By identifying the space of completely positive trace preserving (CPTP) quantum operations with a particular matrix manifold, we generalize ARMA models to the space of CPTP maps to parametrize and simulate temporally correlated noise in quantum circuits. This approach, denoted Schrödinger wave ARMA (SchWARMA), provides a natural path for generalization of classic techniques from signal processing, control theory, and system identification for which ARMA models and linear systems are essential. This enables the broad theory of classical signal processing to be applied to quantum system simulation, characterization, and noise mitigation.http://doi.org/10.1103/PhysRevResearch.3.033229 |
| spellingShingle | Kevin Schultz Gregory Quiroz Paraj Titum B. D. Clader SchWARMA: A model-based approach for time-correlated noise in quantum circuits Physical Review Research |
| title | SchWARMA: A model-based approach for time-correlated noise in quantum circuits |
| title_full | SchWARMA: A model-based approach for time-correlated noise in quantum circuits |
| title_fullStr | SchWARMA: A model-based approach for time-correlated noise in quantum circuits |
| title_full_unstemmed | SchWARMA: A model-based approach for time-correlated noise in quantum circuits |
| title_short | SchWARMA: A model-based approach for time-correlated noise in quantum circuits |
| title_sort | schwarma a model based approach for time correlated noise in quantum circuits |
| url | http://doi.org/10.1103/PhysRevResearch.3.033229 |
| work_keys_str_mv | AT kevinschultz schwarmaamodelbasedapproachfortimecorrelatednoiseinquantumcircuits AT gregoryquiroz schwarmaamodelbasedapproachfortimecorrelatednoiseinquantumcircuits AT parajtitum schwarmaamodelbasedapproachfortimecorrelatednoiseinquantumcircuits AT bdclader schwarmaamodelbasedapproachfortimecorrelatednoiseinquantumcircuits |