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Quantum Computing by an Optimal Control Algorithm for Unitary Transformations
Open accessAbstract
Quantum computation is based on implementing selected unitary transformations representing algorithms. A generalized optimal control theory is used to find the driving field that generates a prespecified unitary transformation. The approach is independent of the physical implementation of the quantum computer and it is illustrated for one and two qubit gates in model molecular systems, where only part of the Hilbert space is used for computation.
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Citations
Cites
Quantum Computation and Quantum Information
Nielsen, M. A., Chuang, I., & Grover, L. K. (2002) · American Journal of Physics · doi:10.1119/1.1463744 · Cited by 21,895
Cited by
Monotonically convergent optimization in quantum control using Krotov’s method
Reich, D. M., Ndong, M., & Koch, C. P. (2012) · The Journal of Chemical Physics · doi:10.1063/1.3691827 · Cited by 220
Communication at the quantum speed limit along a spin chain
Murphy, M., Montangero, S., Giovannetti, V., & Calarco, T. (2010) · Physical Review A · doi:10.1103/physreva.82.022318 · Cited by 121
Optimal Protocols in Quantum Annealing and QAOA Problems
Brady, L. T., Baldwin, C. L., Bapat, A., Kharkov, Y., & Gorshkov, A. V. (2020) · arXiv · doi:10.48550/arxiv.2003.08952 · Cited by 117
Unitary quantum perceptron as efficient universal approximator
Torrontegui, E., & García-Ripoll, J. J. (2019) · EPL (Europhysics Letters) · doi:10.1209/0295-5075/125/30004 · Cited by 102
Quantum Logic Approach to Wave Packet Control
Shapiro, E. A., Spanner, M., & Ivanov, M. Y. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.237901 · Cited by 70
Metadata
- Authors
- Palao, J. P., & Kosloff, R.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2002-10-14
- Volume
- 89
- Issue
- 18
- Pages
- 188301-188301
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2036795049
- Cited by
- 343
- References
- 1
- FWCI
- 12.04
- Type
- journal article
- Language
- en
- Open access
- green
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.