Engineering quantum dynamics
Abstract
The ability to perform measurements on a quantum system, combined with the ability to feed back the measurement results via coherent control, allows one to control the system to follow any desired coherent or incoherent quantum dynamics. Such universal dynamical control can be achieved, in principle, through the repeated application of only two coherent control operations and a simple ``Yes-No'' measurement. As a consequence, a quantum computer can simulate an arbitrary open-system dynamics using just one qubit more than required to simulate closed-system dynamics.
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Any quantum state can be perfectly transferred between the two antipodes of the one-link and two-link hypercubes of any dimensions in constant time t = π/2 and t = π/√2 respectively.
“Any quantum state can be perfectly transferred between the two antipodes of the one-link and two-link hypercubes of any dimensions in constant time t = π/ 2 and t = π/ √ 2 respectively [14].”
From Perfect State Transfer in Quantum Spin Networks (2004) · cites this paper as [14]
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Pechen, A. N., Brif, C., Wu, R.-B., Chakrabarti, R., & RABITZ, H. A. (2010) · Physical Review A · doi:10.1103/physreva.82.030101 · Cited by 21 · see citing works
Efficient Quantum Error Correction of Dephasing Induced by a Common Fluctuator
Layden, D., Chen, M., & Cappellaro, P. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.020504 · Cited by 21 · see citing works
Wang, W., Han, J., Yadin, B., Ma, Y., Ma, J., Cai, W., Xu, Y., Hu, L., Wang, H., Song, Y., et al. (2019) · Physical Review Letters · doi:10.1103/physrevlett.123.220501 · Cited by 20 · see citing works
Alternating Projections Methods for Discrete-Time Stabilization of Quantum States
Ticozzi, F., Zuccato, L., Johnson, P. D., & Viola, L. (2017) · IEEE Transactions on Automatic Control · doi:10.1109/tac.2017.2731903 · Cited by 19 · see citing works
Self-citation
- Authors
- Lloyd, S., & Viola, L.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2001-12-10
- Volume
- 65
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W2083506818
- Cited by
- 197
- References
- 11
- Citations by year
- 2026: 3 · 2025: 7 · 2024: 8 · 2023: 12 · 2022: 4 · 2021: 7 · 2020: 6 · 2019: 10 · 2018: 5 · 2017: 19 · 2016: 13 · 2015: 9 · 2014: 7 · 2013: 5 · 2012: 10
- FWCI
- 7.79
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review A (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum control, coherent control, quantum measurement, feedback control, open quantum systems, quantum simulation
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