The DOI matches its Crossref record; 2 of the 2 references it cites were found in a registry or an index.
Effects of non-local initial conditions in the quantum walk on the line
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In the one-dimensional case, non-local initial states can modify significantly the dynamics of the quantum walk.
“In the one-dimensional case it is known that non-local initial states can modify significantly the dynamics of the QW.”
From Asymptotic entanglement in 2D quantum walks (2010) · cites this paper as [36]
For a one-dimensional quantum walk, the survival probability decays as t^-1 for localized initial states and as t^-3 for non-local initial states with appropriate relative phases.
“For instance, the Survival Probability (the probability of finding the walker in a given region which includes the starting point) decays as t -1 for localized initial states and as t -3 for non-local initial states with appropriate relative phases [36], so the probability flux spreads out faster than in the localized case.”
From Asymptotic entanglement in 2D quantum walks (2010) · cites this paper as [36]
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Citations
Cites
Aharonov, Y., Davidovich, L., & Zagury, N. (1993) · Physical Review A · doi:10.1103/physreva.48.1687 · Cited by 1,622
Quantum random-walk search algorithm
Shenvi, N., Kempe, J., & Whaley, K. B. (2003) · Physical Review A · doi:10.1103/physreva.67.052307 · Cited by 1,150
Flagged first, then by citations
Research works printed but not linked: 7
- U. Schöning, Proceedings of the 40th Annual Symposium on Foundations of Computer Science, 1999, pp. 410–414.
- Kempe, 2003, Contemp. Phys., 44, 307, 10.1080/00107151031000110776 · DOI · Paper page
- J. Kempe, Proceedings of the Seventh International Workshop on Randomization and Approximation Techniques in Computer Science (RANDOM’03), 2003, pp. 354–369. · DOI
- Romanelli, 2004, Physica A, 338, 395, 10.1016/j.physa.2004.02.061 · DOI
- Romanelli, 2004, Physica A, 347, 137, 10.1016/j.physa.2004.08.070 · DOI
- Romanelli, 2003, Phys. Lett. A, 313, 325, 10.1016/S0375-9601(03)00768-0 · DOI
- G. Abal. et al., Phys. Rev. A 73 (2006) 042302 preprint quant-ph/0507264. · DOI · Paper page
Cited by
Sorted by citations
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-citation
Metadata
- Authors
- Abal, G., Donangelo, R., Romanelli, A., & Siri, R.
- Venue
- Physica A: Statistical Mechanics and its Applications
- Publisher
- Elsevier BV
- Published
- 2006-11
- Volume
- 371
- Issue
- 1
- Pages
- 1-4
- ISSN
- 0378-4371
- Cited by
- 9
- References
- 2
- Language
- en
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