The DOI matches its Crossref record; 19 of the 19 references it cites were found in a registry or an index.
Efficient Method for Computing the Maximum-Likelihood Quantum State from Measurements with Additive Gaussian Noise
Open accessAbstract
We provide an efficient method for computing the maximum-likelihood mixed quantum state (with density matrix ρ) given a set of measurement outcomes in a complete orthonormal operator basis subject to Gaussian noise. Our method works by first changing basis yielding a candidate density matrix μ which may have nonphysical (negative) eigenvalues, and then finding the nearest physical state under the 2-norm. Our algorithm takes at worst O(d(4)) for the basis change plus O(d(3)) for finding ρ where d is the dimension of the quantum state. In the special case where the measurement basis is strings of Pauli operators, the basis change takes only O(d(3)) as well. The workhorse of the algorithm is a new linear-time method for finding the closest probability distribution (in Euclidean distance) to a set of real numbers summing to one.
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Cites
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Cited by
Supervised learning with quantum-enhanced feature spaces
Havlíček, V., Córcoles, A. D., Temme, K., Harrow, A. W., Kandala, A., Chow, J. M., & Gambetta, J. M. (2019) · Nature · doi:10.1038/s41586-019-0980-2 · Cited by 2,572
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Self-citationScalable Mitigation of Measurement Errors on Quantum Computers
Nation, P. D., Kang, H., Sundaresan, N., & Gambetta, J. M. (2021) · PRX Quantum · doi:10.1103/prxquantum.2.040326 · Cited by 269
Self-citationApplication of fermionic marginal constraints to hybrid quantum algorithms
Rubin, N. C., Babbush, R., & McClean, J. (2018) · New Journal of Physics · doi:10.1088/1367-2630/aab919 · Cited by 152
Quantum synchronization on the IBM Q system
Koppenhöfer, M., Bruder, C., & Roulet, A. (2020) · Physical Review Research · doi:10.1103/physrevresearch.2.023026 · Cited by 81
Metadata
- Authors
- Smolin, J. A., Gambetta, J. M., & Smith, G.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2012-02-17
- Volume
- 108
- Issue
- 7
- Pages
- 070502-070502
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1623348669
- Cited by
- 276
- References
- 19
- FWCI
- 6.33
- Type
- journal article
- Language
- en
- Open access
- green
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- Smolin, J. A., Gambetta, J. M., & Smith, G. (2012). Efficient Method for Computing the Maximum-Likelihood Quantum State from Measurements with Additive Gaussian Noise. Physical Review Letters. https://doi.org/10.1103/physrevlett.108.070502
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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