The DOI matches its Crossref record.
Erratum: Quantum walk on the line: Entanglement and non-local initial conditions [Phys. Rev. A 73, 042302 (2006)]
Abstract
The sign in front of the integral expression for the coefficient b 3 in Eq. ͑A7͒ is not correct.This changes our conclusion that for the case of localized initial conditions the asymptotic entropy of entanglement S E is independent of the initial coin state, ͉͘ = cos ␣ ͉ R͘ + e i sin ␣ ͉ L͘.As shown in Fig. 1, S E takes values between 0.736. . .and 1 ͑full entanglement͒.The main conclusions of the paper, related to non-local initial conditions, are not affected by this mistake.
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For a one-dimensional Hadamard walk starting at the origin with |L or |R as the initial coin, the asymptotic CPE is E0 ≃ 0.872.
“In this cases, the asymptotic CPE is E 0 ≃ 0.872, [21,31].”
From Asymptotic entanglement in 2D quantum walks (2010) · cites this paper as [31]
These are new results, as previous analytical work based on one-dimensional walks did not allow for this possibility.
“These are new results, as previous analytical work based on one-dimensional walks [31] did not allow for this possibility.”
From Asymptotic entanglement in 2D quantum walks (2010) · cites this paper as [31]
Previous work for a one-dimensional quantum walk suggests that non-local initial states can give rise to a broader range of variation for CPE levels.
“In the specific case of asymptotic CPE, previous work for a one-dimensional QW suggests that non-local initial states can give rise to a broader range of variation for CPE levels [31].”
From Asymptotic entanglement in 2D quantum walks (2010) · cites this paper as [31]
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Asymptotic entanglement in 2D quantum walks
Annabestani, M., Abolhasani, M. R., & Abal, G. (2010) · Journal of Physics A: Mathematical and Theoretical · doi:10.1088/1751-8113/43/7/075301 · Cited by 46
Self-citationAccelerated quantum walk, two-particle entanglement generation and localization
Singh, S., Balu, R., Laflamme, R., & Chandrashekar, C. M. (2019) · Journal of Physics Communications · doi:10.1088/2399-6528/ab1c6e · Cited by 14
Metadata
- Authors
- Abal, G., Siri, R., Romanelli, A., & Donangelo, R.
- Venue
- Physical Review A
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-20
- Volume
- 73
- Issue
- 6
- ISSN
- 1050-2947
- 1094-1622
- Cited by
- 15
- References
- 0
- Language
- en
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