Ιδρυματικό Αποθετήριο
Πολυτεχνείο Κρήτης
Πολυτεχνείο Κρήτης
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| URI | http://purl.tuc.gr/dl/dias/51A2D41B-A39C-4A28-8CB6-DAEE8C317E01 | - |
| Αναγνωριστικό | http://www.sciencedirect.com/science/article/pii/S003448771260041X | - |
| Αναγνωριστικό | https://doi.org/10.1016/S0034-4877(12)60041-X | - |
| Γλώσσα | en | - |
| Μέγεθος | 7 pages | en |
| Τίτλος | Discrete randomness in discrete time quantum walk: study via stochastic averaging | en |
| Δημιουργός | Ellinas Dimosthenis | en |
| Δημιουργός | Ελληνας Δημοσθενης | el |
| Δημιουργός | Bracken A. J. | en |
| Δημιουργός | Smyrnakis Ioannis | en |
| Εκδότης | Elsevier | en |
| Περίληψη | The role of classical noise in quantum walks (QW) on integers is investigated in the form of discrete dichotomic random variable affecting its reshuffling matrix parametrized as a SU2)/U (1) coset element. Analysis in terms of quantum statistical moments and generating functions, derived by the completely positive trace preserving (CPTP) map governing evolution, reveals a pronounced eventual transition in walk's diffusion mode, from a quantum ballistic regime with rate O(t) to a classical diffusive regime with rate View the MathML source, when condition (strength of noise parameter)2 × (number of steps) = 1, is satisfied. The role of classical randomness is studied showing that the randomized QW, when treated on the stochastic average level by means of an appropriate CPTP averaging map, turns out to be equivalent to a novel quantized classical walk without randomness. This result emphasizes the dual role of quantization/randomization in the context of classical random walk. | en |
| Τύπος | Peer-Reviewed Journal Publication | en |
| Τύπος | Δημοσίευση σε Περιοδικό με Κριτές | el |
| Άδεια Χρήσης | http://creativecommons.org/licenses/by/4.0/ | en |
| Ημερομηνία | 2015-11-09 | - |
| Ημερομηνία Δημοσίευσης | 2012 | - |
| Θεματική Κατηγορία | Quantum walk | en |
| Θεματική Κατηγορία | Randomness | en |
| Θεματική Κατηγορία | CP map | en |
| Θεματική Κατηγορία | Quantization | en |
| Βιβλιογραφική Αναφορά | D. Ellinas, A. J. Bracken and I. Smyrnakis, "Discrete randomness in discrete time quantum walk: study via stochastic averaging," Rep. Math. Phys., vol. 70, no. 2, pp. 221-227, Oct. 2012. doi:10.1016/S0034-4877(12)60041-X | en |
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