Quantum random walks and piecewise deterministic evolutions

Blanchard P, Hongler MO (2004)
PHYSICAL REVIEW LETTERS 92(12): 120601.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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DOI
Autor*in
Blanchard, PhilippeUniBi; Hongler, MO
Einrichtung
Fakultät für Physik > AG Mathematische Physik
Abstract / Bemerkung
In the continuous space and time limit, we show that the probability density to find the quantum random walk (QRW) driven by the Hadamard "coin" solves a hyperbolic evolution equation similar to the one obtained for a random two-velocity evolution with spatially inhomogeneous transition rates between the velocity states. In spite of the presence of a nonlinear drift term, it is remarkable that the QRW position can easily be described in simple analytical terms. This allows us to derive the quadratic time dependence of the variance typical for the QRW.
Erscheinungsjahr
2004
Zeitschriftentitel
PHYSICAL REVIEW LETTERS
Band
92
Ausgabe
12
Art.-Nr.
120601
ISSN
0031-9007
eISSN
1079-7114
Page URI
https://pub.uni-bielefeld.de/record/1608290

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Blanchard P, Hongler MO. Quantum random walks and piecewise deterministic evolutions. PHYSICAL REVIEW LETTERS. 2004;92(12): 120601.
Blanchard, P., & Hongler, M. O. (2004). Quantum random walks and piecewise deterministic evolutions. PHYSICAL REVIEW LETTERS, 92(12), 120601. https://doi.org/10.1103/PhysRevLett.92.120601
Blanchard, Philippe, and Hongler, MO. 2004. “Quantum random walks and piecewise deterministic evolutions”. PHYSICAL REVIEW LETTERS 92 (12): 120601.
Blanchard, P., and Hongler, M. O. (2004). Quantum random walks and piecewise deterministic evolutions. PHYSICAL REVIEW LETTERS 92:120601.
Blanchard, P., & Hongler, M.O., 2004. Quantum random walks and piecewise deterministic evolutions. PHYSICAL REVIEW LETTERS, 92(12): 120601.
P. Blanchard and M.O. Hongler, “Quantum random walks and piecewise deterministic evolutions”, PHYSICAL REVIEW LETTERS, vol. 92, 2004, : 120601.
Blanchard, P., Hongler, M.O.: Quantum random walks and piecewise deterministic evolutions. PHYSICAL REVIEW LETTERS. 92, : 120601 (2004).
Blanchard, Philippe, and Hongler, MO. “Quantum random walks and piecewise deterministic evolutions”. PHYSICAL REVIEW LETTERS 92.12 (2004): 120601.

1 Zitation in Europe PMC

Daten bereitgestellt von Europe PubMed Central.

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