The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Statistical Distinguishability between Unitary Operations
Open accessAbstract
The problem of distinguishing two unitary transformations, or quantum gates, is analyzed and a function reflecting their statistical distinguishability is found. Given two unitary operations, U1 and U2, it is proved that there always exists a finite number N such that U(x in circle N)(1) and U(x in circle N)(2) are perfectly distinguishable, although they were not in the single-copy case. This result can be extended to any finite set of unitary transformations. Finally, a fidelity for one-qubit gates, which satisfies many useful properties from the point of view of quantum information theory, is presented.
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Citations
Cites
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176
Fidelity for Mixed Quantum States
Jozsa, R. (1994) · Journal of Modern Optics · doi:10.1080/09500349414552171 · Cited by 1,911
The ‘transition probability’ in the state space of a—algebra
Uhlmann, A. (1976) · Reports on Mathematical Physics · doi:10.1016/0034-4877(76)90060-4 · Cited by 1,649
Quantum Fisher metric and estimation for pure state models
Fujiwara, A., & Nagaoka, H. (1995) · Physics Letters A · doi:10.1016/0375-9601(95)00269-9 · Cited by 160
Geometry of Quantum Statistical Inference
Brody, D. C., & Hughston, L. P. (1996) · Physical Review Letters · doi:10.1103/physrevlett.77.2851 · Cited by 70
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Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434
Sequential feedback scheme outperforms the parallel scheme for Hamiltonian parameter estimation
Yuan, H. (2016) · Physical Review Letters · doi:10.1103/physrevlett.117.160801 · Cited by 112
Quantifying Quantumness of Channels Without Entanglement
Ku, H.-Y., Kadlec, J., Černoch, A., Quintino, M. T., Zhou, W., Lemr, K., Lambert, N., Miranowicz, A., Chen, S.-L., Nori, F., et al. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.020338 · Cited by 42
Metadata
- Authors
- Acín, A.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2001-10-04
- Volume
- 87
- Issue
- 17
- Pages
- 177901-177901
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2050480610
- Cited by
- 289
- References
- 5
- FWCI
- 1.88
- Type
- journal article
- Language
- en
- Open access
- green
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