The quantum speed limit
Open accessAbstract
How fast can a quantum system evolve? We answer this question focusing on the role of entanglement and interactions among subsystems. In particular, we analyze how the order of the interactions shapes the dynamics.
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Giovannetti, Lloyd, and Maccone numerically established that for time-independent Hamiltonians the quantum speed limit time is τ_QSL = max(ΔH L, (2/π)⟨H⟩ L^2).
“For time-independent Hamiltonians Giovannetti, Lloyd, and Maccone [71][72][73] established numerically that the quantum speed limit time has to be given by τ QSL = max ∆H L (ρ 0 , ρ τ ) , 2 π H L 2 (ρ 0 , ρ τ ) .(34)”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [72]
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The power of entangled quantum channelsPreprint
Lloyd, S. (2001) · arXiv (Cornell University) · doi:10.48550/arxiv.quant-ph/0112034 · Cited by 3 · see citing works
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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 · see citing works
Enhancing the Charging Power of Quantum Batteries
Campaioli, F., Pollock, F. A., Binder, F. C., Céleri, L., Goold, J., Vinjanampathy, S., & Modi, K. (2017) · Physical Review Letters · doi:10.1103/physrevlett.118.150601 · Cited by 531 · see citing works
- Authors
- Giovannetti, V., Lloyd, S., & Maccone, L.
- Affiliations
- Massachusetts Institute of Technology (US)
- Venue
- SPIE Proceedings
- Publisher
- SPIE
- Published
- 2003-05-16
- Volume
- 5111
- Pages
- 1
- ISSN
- 0277-786X (ISSN-L)
- OpenAlex
- W2156326557
- Cited by
- 21
- References
- 1
- Citations by year
- 2025: 2 · 2024: 1 · 2023: 1 · 2022: 2 · 2019: 1 · 2018: 1 · 2017: 3 · 2016: 2 · 2014: 1 · 2013: 1 · 2012: 1
- FWCI
- 5.59
- Type
- conference paper
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Scuola Normale Superiore di Pisa (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum speed limit, quantum dynamics, entanglement, subsystem interaction, interaction order, quantum evolution
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