Correcting detection errors in quantum state engineering through data processing
Open accessAbstract
Verifying correlations within a quantum state is an important task in quantum state engineering, while realistic detectors with imperfect efficiency usually introduce errors into the detection results. With these detection errors, genuine multi-partite entanglement can be invisible. In this paper, we propose a simple method for correcting arbitrary uncorrelated detection errors. The method is based on the processing of data from repetitive experiments and can correct detection errors of any magnitude as long as the error magnitude is calibrated. The method is illustrated with its application in the detection of multi-partite entanglement from quantum state engineering.
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State preparation and measurement (SPAM) errors are characterized and corrected by applying the inverse of an independently measured state-to-state error matrix.
“State preparation and measurement (SPAM) errors are characterized and corrected by applying the inverse of an independently measured state-to-state error matrix63.”
From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [63]
Section 2.1 describes calibrating a detection-error matrix in a prior experiment and inverting it to recover the true outcome distribution. The Introduction and Conclusion describe this as correction of detector errors; our copy does not establish that the method also characterizes or corrects state-preparation errors, as the term SPAM implies. (LLM, conf=0.88)
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- Authors
- Shen, C., & Duan, L.-M.
- Affiliations
- University of Michigan (US)
- Corresponding author
- Shen, C
- ORCID
- Shen, C
- Venue
- New Journal of Physics
- Publisher
- IOP Publishing
- Published
- 2012-05-31
- Volume
- 14
- Issue
- 5
- Pages
- 053053
- ISSN
- 1367-2630 (ISSN-L)
- OpenAlex
- W2162451888
- Cited by
- 43
- References
- 10
- Citations by year
- 2026: 2 · 2025: 5 · 2024: 2 · 2023: 3 · 2022: 3 · 2021: 3 · 2020: 6 · 2019: 1 · 2018: 4 · 2017: 3 · 2016: 2 · 2015: 2 · 2014: 4 · 2013: 3
- FWCI
- 2.83
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Licence
- cc-by
- Locations
- New Journal of Physics (publishedVersion, cc-by)
- arXiv (Cornell University) (submittedVersion)
- Deep Blue (University of Michigan) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Funders
- Defense Advanced Research Projects Agency
- Intelligence Advanced Research Projects Activity
- Multidisciplinary University Research Initiative
- National Key Research and Development Program of China (2011C-BA00302, 2011CBA00300)
- Air Force Office of Scientific Research
- Army Research Office
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- detection error, quantum state engineering, genuine multipartite entanglement, error correction, data processing, entanglement detection, error calibration
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