From perfect to fractal transmission in spin chains
Open accessAbstract
Perfect state transfer is possible in modulated spin chains [Phys. Rev. Lett. 92, 187902 (2004)], imperfections, however, are likely to corrupt the state transfer. We study the robustness of this quantum communication protocol in the presence of disorder both in the exchange couplings between the spins and in the local magnetic field. The degradation of the fidelity can be suitably expressed, as a function of the level of imperfection and the length of the chain, in a scaling form. In addition the time signal of fidelity becomes fractal. We further characterize the state transfer by analyzing the spectral properties of the Hamiltonian of the spin chain.
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The optimal solution for perfect state transfer is the one proposed in Ref.[12,22] (the linear spectrum), which is the same as the set of couplings describing spin precession in a static magnetic field.
“We prove that the optimal solution is the one simulating the precession of a spin in a static magnetic field.”
From Quantum speed limit for perfect state transfer in one dimension (2006) · cites this paper as [22]
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Cites
Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Bennett, C. H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., & Wootters, W. K. (1993) · Physical Review Letters · doi:10.1103/physrevlett.70.1895 · Cited by 13,703 · see citing works
Gisin, N., Ribordy, G., Tittel, W., & Zbinden, H. (2002) · Reviews of Modern Physics · doi:10.1103/revmodphys.74.145 · Cited by 8,515 · see citing works
Perfect State Transfer in Quantum Spin Networks
Christandl, M., Datta, N., Ekert, A., & Landahl, A. J. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.187902 · Cited by 1,179 · see citing works
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Research works printed but not linked: 3
- [12]D. Burgarth, and S. Bose, Phys. Rev. A 71 , 052315 (2005). D. Burgarth, V. Giovannetti, and S. Bose, quant-ph/0410175. · arXiv
- [19]F. Haake, Quantum Signature of chaos (Springer-Verlag, New York, 1991).
- [22]The matrix elements U k ℓ ( t ) are well known, and can be found in: R. P. Feynman, R. B. Leighton, and M. Sands, Feynman lectures on Physics (Addison-Wesley, Reading, MA, 1965), Vol. 3.
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Quantum speed limit for perfect state transfer in one dimension
Yung, M.-H. (2006) · Physical Review A · doi:10.1103/physreva.74.030303 · Cited by 128 · see citing works
Localization and its consequences for quantum walk algorithms and quantum communication
Keating, J. P., Linden, N., Matthews, J. C. F., & Winter, A. (2007) · Physical Review A · doi:10.1103/physreva.76.012315 · Cited by 123 · see citing works
- Authors
- De Chiara, G., Rossini, D., Montangero, S., & Fazio, R.
- Affiliations
- Scuola Normale Superiore (IT)
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2005-07-20
- Volume
- 72
- Issue
- 1
- ISSN
- 0556-2791 (ISSN-L)
- 1050-2947
- 1094-1622
- OpenAlex
- W1990145240
- Cited by
- 113
- References
- 3
- Citations by year
- 2025: 5 · 2024: 2 · 2023: 4 · 2022: 5 · 2021: 4 · 2020: 3 · 2019: 5 · 2018: 5 · 2017: 2 · 2016: 6 · 2015: 4 · 2014: 5 · 2013: 5 · 2012: 8
- FWCI
- 12.33
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review A (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- CINECA IRIS Institutial research information system (University of Pisa) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Research Portal (Queen's University Belfast) (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 › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum and electron transport phenomena
- Keywords
- perfect state transfer, spin chains, quantum communication, disorder, exchange coupling, local magnetic field, fidelity, scaling, spectral properties, Hamiltonian spectrum
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