Communication at the quantum speed limit along a spin chain
Open accessAbstract
Spin chains have long been considered as candidates for quantum channels to facilitate quantum communication. We consider the transfer of a single excitation along a spin-1/2 chain governed by Heisenberg-type interactions. We build on the work of Balachandran and Gong [V. Balachandran and J. Gong, Phys. Rev. A 77, 012303 (2008)] and show that by applying optimal control to an external parabolic magnetic field, one can drastically increase the propagation rate by two orders of magnitude. In particular, we show that the theoretical maximum propagation rate can be reached, where the propagation of the excitation takes the form of a dispersed wave. We conclude that optimal control is not only a useful tool for experimental application, but also for theoretical inquiry into the physical limits and dynamics of many-body quantum systems.
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In that interacting many-body system, interactions and likely entanglement allow faster communication.
“the presence of the interaction (and likely therefore entanglement) allows for faster communication.”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [113]
The optimal control pulse does not transmit the excitation completely to each site, but instead forms an excitation wave spread over several sites at any time.
“the optimal control pulse determined by the Krotov algorithm does not transmit the excitation completely to each site, but instead it forms an excitation wave which is spread across several sites at any time”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [113]
For total times below the quantum speed limit time, the excitation wave cannot keep up with the pulse.
“Interestingly for T < T QSL figure 2(b) we see the excitation wave is unable to keep up with the pulse.”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [113]
In Murphy et al's spin-chain communication model, optimizing the magnetic field with the Krotov algorithm yields a cutoff time below which the algorithm fails to converge.
“By employing the Krotov algorithm to optimise the profile of the magnetic field, B n (t), they showed that there was a cutoff time τ QSL , below which the algorithm failed to converge”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [113]
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References 51 · Cited by 121
Research works printed but not linked: 8
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- Authors
- Murphy, M., Montangero, S., Giovannetti, V., & Calarco, T.
- Affiliations
- Universität Ulm (DE)
- Scuola Normale Superiore (IT)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2010-08-13
- Volume
- 82
- Issue
- 2
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1966445277
- Cited by
- 121
- References
- 51
- Citations by year
- 2026: 3 · 2025: 15 · 2024: 8 · 2023: 9 · 2022: 7 · 2021: 7 · 2020: 7 · 2019: 4 · 2018: 10 · 2017: 6 · 2016: 6 · 2015: 7 · 2014: 7 · 2013: 12 · 2012: 5
- FWCI
- 8.47
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) (submittedVersion)
- Scuola Normale Superiore di Pisa (submittedVersion)
- Padua Research Archive (University of Padova) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Keywords
- quantum spin chains, quantum communication, excitation energy transfer, quantum speed limit, optimal control, Heisenberg exchange interaction, spin-1/2 chain, dispersive wave propagation, quantum many-body systems
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