The DOI matches its Crossref record; 24 of the 24 references it cites were found in a registry or an index.
Optimal, reliable estimation of quantum states
Open accessAbstract
Accurately inferring the state of a quantum device from the results of measurements is a crucial task in building quantum information processing hardware. The predominant state estimation procedure, maximum likelihood estimation (MLE), generally reports an estimate with zero eigenvalues. These cannot be justified. Furthermore, the MLE estimate is incompatible with error bars, so conclusions drawn from it are suspect. I propose an alternative procedure, Bayesian mean estimation (BME). BME never yields zero eigenvalues, its eigenvalues provide a bound on their own uncertainties, and under certain circumstances it is provably the most accurate procedure possible. I show how to implement BME numerically, and how to obtain natural error bars that are compatible with the estimate. Finally, I briefly discuss the differences between Bayesian and frequentist estimation techniques.
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Cites
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Cited by
Quantum computing with trapped ions
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Quantum tomography via compressed sensing: error bounds, sample complexity and efficient estimators
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Practical Characterization of Quantum Devices without Tomography
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When Entanglement Meets Classical Communications: Quantum Teleportation for the Quantum Internet
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Metadata
- Authors
- Blume-Kohout, R.
- Venue
- New Journal of Physics
- Publisher
- IOP Publishing
- Published
- 2010-04-20
- Volume
- 12
- Issue
- 4
- Pages
- 043034
- ISSN
- 1367-2630 (ISSN-L)
- OpenAlex
- W2098271372
- Cited by
- 393
- References
- 24
- FWCI
- 18.70
- Type
- journal article
- Language
- en
- Open access
- gold
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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