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SchWARMA: A model-based approach for time-correlated noise in quantum circuits

Physical review research, 2021-09, Vol.3 (3), p.033229, Article 033229 [Peer Reviewed Journal]

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Title:
SchWARMA: A model-based approach for time-correlated noise in quantum circuits
Author: Schultz, Kevin ; Quiroz, Gregory ; Titum, Paraj ; Clader, B. D.
Is Part Of: Physical review research, 2021-09, Vol.3 (3), p.033229, Article 033229
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.
Publisher: United States: American Physical Society
Language: English
Identifier: ISSN: 2643-1564
EISSN: 2643-1564
DOI: 10.1103/PhysRevResearch.3.033229
Source: DOAJ Directory of Open Access Journals

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