Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise
Joint Authors
Wang, Caishi
Tang, Yuling
Ren, Suling
Wang, Ce
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-01-24
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
As a unitary quantum walk with infinitely many internal degrees of freedom, the quantum walk in terms of quantum Bernoulli noise (recently introduced by Wang and Ye) shows a rather classical asymptotic behavior, which is quite different from the case of the usual quantum walks with a finite number of internal degrees of freedom.
In this paper, we further examine the structure of the walk.
By using the Fourier transform on the state space of the walk, we obtain a formula that links the moments of the walk’s probability distributions directly with annihilation and creation operators on Bernoulli functionals.
We also prove some other results on the structure of the walk.
Finally, as an application of these results, we establish a quantum central limit theorem for the annihilation and creation operators themselves.
American Psychological Association (APA)
Wang, Caishi& Wang, Ce& Tang, Yuling& Ren, Suling. 2018. Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119101
Modern Language Association (MLA)
Wang, Caishi…[et al.]. Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119101
American Medical Association (AMA)
Wang, Caishi& Wang, Ce& Tang, Yuling& Ren, Suling. Quantum Walk in Terms of Quantum Bernoulli Noise and Quantum Central Limit Theorem for Quantum Bernoulli Noise. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119101
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119101