A Taxonomy of Small Markovian Errors

Blume-Kohout, Robin; da Silva, Marcus P.; Nielsen, Erik; Proctor, Timothy; Rudinger, Kenneth; Sarovar, Mohan; Young, Kevin

doi:10.1103/prxquantum.3.020335

A Taxonomy of Small Markovian Errors

Journal Article · 13 May 2022 · PRX Quantum

DOI:https://doi.org/10.1103/prxquantum.3.020335· OSTI ID:1867723

^[1]; da Silva, Marcus P. ^[2]; Nielsen, Erik ^[1]; Proctor, Timothy ^[3]; Rudinger, Kenneth ^[1]; Sarovar, Mohan ^[3]; Young, Kevin ^[3]

Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Microsoft Quantum, Redmond, WA (United States)
Sandia National Lab. (SNL-CA), Livermore, CA (United States)

Errors in quantum logic gates are usually modeled by quantum process matrices (CPTP maps). But process matrices can be opaque and unwieldy. We show how to transform the process matrix of a gate into an error generator that represents the same information more usefully. We construct a basis of simple and physically intuitive elementary error generators, classify them, and show how to represent the error generator of any gate as a mixture of elementary error generators with various rates. Finally, we show how to build a large variety of reduced models for gate errors by combining elementary error generators and/or entire subsectors of generator space. We conclude with a few examples of reduced models, including one with just 9N² parameters that describes almost all commonly predicted errors on an N-qubit processor.

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Research Organization:: Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA)

Grant/Contract Number:: NA0003525

OSTI ID:: 1867723

Alternate ID(s):: OSTI ID: 1871975

Report Number(s):: SAND2022-5286J; 705472; TRN: US2306827

Journal Information:: PRX Quantum, Vol. 3, Issue 2; ISSN 2691-3399

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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