The DOI matches its Crossref record; 11 of the 11 references it cites were found in a registry or an index.
Time-Optimal Quantum Evolution
Open accessAbstract
We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to that for the brachistochrone in classical mechanics. We reduce the problem to a formal equation for the Hamiltonian which depends on certain constraint functions specifying the range of available Hamiltonians. For some simple examples of the constraints, we explicitly find the optimal solutions.
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Cites
Quantum Mechanics Helps in Searching for a Needle in a Haystack
Grover, L. K. (1997) · Physical Review Letters · doi:10.1103/physrevlett.79.325 · Cited by 4,306
The maximum speed of dynamical evolution
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Time optimal control in spin systems
Khaneja, N., Brockett, R., & Glaser, S. J. (2001) · Physical Review A · doi:10.1103/physreva.63.032308 · Cited by 742
Grover’s quantum searching algorithm is optimal
Zalka, C. (1999) · Physical Review A · doi:10.1103/physreva.60.2746 · Cited by 635
Geometric theory of nonlocal two-qubit operations
Zhang, J., Vala, J., Sastry, S., & Whaley, K. B. (2003) · Physical Review A · doi:10.1103/physreva.67.042313 · Cited by 415
Cartan decomposition of SU(2n) and control of spin systems
Khaneja, N., & Glaser, S. J. (2001) · Chemical Physics · doi:10.1016/s0301-0104(01)00318-4 · Cited by 232
Schulte-Herbrüggen, T., Spörl, A., Khaneja, N., & Glaser, S. J. (2005) · Physical Review A · doi:10.1103/physreva.72.042331 · Cited by 158
Elementary derivation for passage times
Brody, D. C. (2003) · Journal of Physics A: Mathematical and General · doi:10.1088/0305-4470/36/20/314 · Cited by 99
Geometric strategy for the optimal quantum search
Miyake, A., & Wadati, M. (2001) · Physical Review A · doi:10.1103/physreva.64.042317 · Cited by 48
Cited by
PSEUDO-HERMITIAN REPRESENTATION OF QUANTUM MECHANICS
MOSTAFAZADEH, A. (2010) · International Journal of Geometric Methods in Modern Physics · doi:10.1142/s0219887810004816 · Cited by 926
Optimal Control at the Quantum Speed Limit
Caneva, T., Murphy, M., Calarco, T., Fazio, R., Montangero, S., Giovannetti, V., & Santoro, G. E. (2009) · Physical Review Letters · doi:10.1103/physrevlett.103.240501 · Cited by 509
Quantacell: powerful charging of quantum batteries
Binder, F. C., Vinjanampathy, S., Modi, K., & Goold, J. (2015) · New Journal of Physics · doi:10.1088/1367-2630/17/7/075015 · Cited by 475
Bason, M. G., Viteau, M., Malossi, N., Huillery, P., Arimondo, E., Ciampini, D., Fazio, R., Giovannetti, V., Mannella, R., & Morsch, O. (2012) · Nature Physics · doi:10.1038/nphys2170 · Cited by 462
Faster than Hermitian quantum mechanics
Bender, C. M., Brody, D. C., Jones, H. F., & Meister, B. K. (2007) · Physical Review Letters · doi:10.1103/physrevlett.98.040403 · Cited by 417
Metadata
- Authors
- Carlini, A., Hosoya, A., Koike, T., & Okudaira, Y.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-02-15
- Volume
- 96
- Issue
- 6
- Pages
- 060503-060503
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W1981989554
- Cited by
- 311
- References
- 11
- FWCI
- 13.78
- Type
- journal article
- Language
- en
- Open access
- green
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- Carlini, A., Hosoya, A., Koike, T., & Okudaira, Y. (2006). Time-Optimal Quantum Evolution. Physical Review Letters. https://doi.org/10.1103/physrevlett.96.060503
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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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