Seminar on "Limit theorem of a 2-state quantum walk with a non-localized initial state" given by Dr. Takuya MACHIDA

Dear All,

Quantum Systems Unit (Busch Unit) would like to invite you a seminar by Dr. Takuya MACHIDA

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Date: Wednesday, April 24
Time: 15:00-16:00
Venue: Meeting Room A613, Level A , Lab2
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Speaker:  Dr. Takuya MACHIDA
Affiliation: Japan Society for the Promotion of Science (JSPS), University of Tokyo
Title: Limit theorem of a 2-state quantum walk with a non-localized initial state
Abstract:
Quantum walks are quantum analog of random walks.
Since a limit distribution of a discrete-time quantum walk on the line was derived in 2002, a lot of limit theorems for the quantum walks with a localized initial state have been reported.
In my presentation, we focus on a convergence theorem in distribution of a discrete-time 2-state quantum walk with a non-localized initial state.
From the theorem, we find that the quantum walk can realize the Gauss, Wigner semicircle, arcsine, and uniform distributions.
The result in my presentation is based on [1].

[1] Machida, T.: Realization of the probability laws in the quantum central limit theorems by a quantum walk, Quantum Information and Computation, Vol.13 No.5&6, pp.430-438 (2013), arXiv:1208.1005.

We look forward to seeing many of you.

Sincerely,

Quantum Systems Unit