Interacting fock spaces and the moments of the limit distributions for quantum random walks

Chul Ki Ko, Hyun Jae Yoo

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

We investigate the limit distributions of the discrete time quantum random walks on lattice spaces via a spectral analysis of concretely given self-adjoint operators. We discuss the interacting Fock spaces associated with the limit distributions. Thereby, we represent the moments of the limit distribution by vacuum expectation of the monomials of the Fock operator. We get formulas not only for one-dimensional walks but also for high-dimensional walks.

Original languageEnglish
Article number1350003
JournalInfinite Dimensional Analysis, Quantum Probability and Related Topics
Volume16
Issue number1
DOIs
Publication statusPublished - 2013 Mar 1

Fingerprint

Fock Space
Limit Distribution
random walk
Spectrum analysis
Random walk
Vacuum
Moment
moments
Walk
operators
Self-adjoint Operator
Spectral Analysis
spectrum analysis
Discrete-time
High-dimensional
vacuum
Operator

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Mathematical Physics
  • Applied Mathematics

Cite this

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