The DOI matches its Crossref record; 10 of the 10 references it cites were found in a registry or an index.
Quantum Fidelity for Arbitrary Gaussian States
Open accessAbstract
We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statistical moments. We also show how such a formula can be written in terms of symplectic invariants and used to derive closed forms for a variety of basic quantities and tools, such as the Bures metric, the quantum Fisher information, and various fidelity-based bounds. Our result can be used to extend the study of continuous-variable protocols, such as quantum teleportation and cloning, beyond the current one-mode or two-mode analyses, and paves the way to solve general problems in quantum metrology and quantum hypothesis testing with arbitrary multimode Gaussian resources.
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703
Experimental quantum teleportation
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., & Zeilinger, A. (1997) · Nature · doi:10.1038/37539 · Cited by 5,545
Quantum information with continuous variables
Braunstein, S. L., & van Loock, P. (2005) · Reviews of Modern Physics · doi:10.1103/revmodphys.77.513 · Cited by 3,858
Self-citationStatistical 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
Self-citationUnconditional Quantum Teleportation
Furusawa, A., Sørensen, J. L., Braunstein, S. L., Fuchs, C. A., Kimble, H. J., & Polzik, E. S. (1998) · Science · doi:10.1126/science.282.5389.706 · Cited by 3,005
Self-citationFidelity 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 estimation for quantum technology
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Geometry of Quantum States: An Introduction to Quantum Entanglement
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Cited by
Advances in quantum cryptography
Pirandola, S., Andersen, U. L., Banchi, L., Berta, M., Bunandar, D., Colbeck, R., Englund, D., Gehring, T., Lupo, C., Ottaviani, C., et al. (2020) · Advances in Optics and Photonics · doi:10.1364/aop.361502 · Cited by 2,033
Self-citationFundamental limits of repeaterless quantum communications
Pirandola, S., Laurenza, R., Ottaviani, C., & Banchi, L. (2017) · Nature Communications · doi:10.1038/ncomms15043 · Cited by 1,374
Self-citationAdvances in photonic quantum sensing
Pirandola, S., Bardhan, B. R., Gehring, T., Weedbrook, C., & Lloyd, S. (2018) · Nature Photonics · doi:10.1038/s41566-018-0301-6 · Cited by 804
Self-citationQuantum Fisher information matrix and multiparameter estimation
Liu, J., Yuan, H., Lu, X.-M., & Wang, X. (2020) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/ab5d4d · Cited by 802
Quantum-enhanced measurements without entanglement
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
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Metadata
- Authors
- Banchi, L., Braunstein, S. L., & Pirandola, S.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2015-12-22
- Volume
- 115
- Issue
- 26
- Pages
- 260501-260501
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2120008439
- Cited by
- 259
- References
- 10
- FWCI
- 14.39
- Type
- journal article
- Language
- en
- Open access
- green
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