The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.
General Optimality of the Heisenberg Limit for Quantum Metrology
Open accessAbstract
Quantum metrology promises improved sensitivity in parameter estimation over classical procedures. However, there is a debate over the question of how the sensitivity scales with the resources and the number of queries that are used in estimation procedures. Here, we reconcile the physical definition of the relevant resources used in parameter estimation with the information-theoretical scaling in terms of the query complexity of a quantum network. This leads to a completely general optimality proof of the Heisenberg limit for quantum metrology. We give an example of how our proof resolves paradoxes that suggest sensitivities beyond the Heisenberg limit, and we show that the Heisenberg limit is an information-theoretic interpretation of the Margolus-Levitin bound, rather than Heisenberg's uncertainty relation.
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Cites
Quantum-mechanical noise in an interferometer
Caves, C. M. (1981) · Physical Review D · doi:10.1103/physrevd.23.1693 · Cited by 3,202
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
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440
The maximum speed of dynamical evolution
Margolus, N., & Levitin, L. B. (1998) · Physica D: Nonlinear Phenomena · doi:10.1016/s0167-2789(98)00054-2 · Cited by 887
Generalized uncertainty relations: Theory, examples, and Lorentz invariance
Braunstein, S. L., Caves, C. M., & Milburn, G. J. (1996) · Annals of Physics · doi:10.1006/aphy.1996.0040 · Cited by 732
Minimum mean-squared error of estimates in quantum statistics
Helstrom, C. W. (1967) · Physics Letters A · doi:10.1016/0375-9601(67)90366-0 · Cited by 441
Geometric derivation of the quantum speed limit
Jones, P. J., & Kok, P. (2010) · Physical Review A · doi:10.1103/physreva.82.022107 · Cited by 172
Self-citationThe rate of evolution of a quantum state
Uffink, J. (1993) · American Journal of Physics · doi:10.1119/1.17368 · Cited by 103
Cited by
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E., & Schmidt, P. O. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.637 · Cited by 2,385
“In the limit of large N , this limit can not be further improved by any measurement strategy or specially designed input states (Giovannetti et al., 2012; Giovannetti and Maccone, 2012; Hall et al., 2012; Ou, 1997; Zwierz et al., 2010, 2011, 2012).”
BackgroundThe elusive Heisenberg limit in quantum-enhanced metrology
Demkowicz-Dobrzański, R., Kołodyński, J., & Guţă, M. (2012) · Nature Communications · doi:10.1038/ncomms2067 · Cited by 773
Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Deffner, S., & Campbell, S. (2017) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8121/aa86c6 · Cited by 585
Quantum metrology with entangled coherent states
Joo, J., Munro, W. J., & Spiller, T. P. (2011) · Physical Review Letters · doi:10.1103/physrevlett.107.083601 · Cited by 526
Metadata
- Authors
- Zwierz, M., Pérez-Delgado, C. A., & Kok, P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2010-10-27
- Volume
- 105
- Issue
- 18
- Pages
- 180402-180402
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2025454168
- Cited by
- 230
- References
- 8
- FWCI
- 11.90
- Type
- journal article
- Language
- en
- Open access
- green
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