26 citations · 45 across the 7 of their papers we have counts for
7 papers
Eigenvalues and threshold rezonances of a two-dimensional split-step quantum walk with strong shift
Toru Fuda, Daiju Funakawa, Satoshi Sasayama +1
In this paper, we derive sufficient conditions for the localization of two-dimensional split-step quantum walks with a strong shift. For this purpose, we analyze the zero points of…
Spectral analysis for a multi-dimensional split-step quantum walk with a defect
Toru Fuda, Akihiro Narimatsu, Kei Saito +1
This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analysed in the previous papers. To this end, we have developed a new te…
Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations
Toru Fuda, Daiju Funakawa, Akito Suzuki
For given two unitary and self-adjoint operators on a Hilbert space, a spectral mapping theorem was proved in \cite{HiSeSu}. In this paper, as an application of the spectral mappin…
Weak limit theorem for a one-dimensional split-step quantum walk
Toru Fuda, Daiju Funakawa, Akito Suzuki
This paper proves a weak limit theorem for a one-dimensional split-step quantum walk and investigates the limit density function. In the density function, the difference between tw…
Localization of a multi-dimensional quantum walk with one defect
Toru Fuda, Daiju Funakawa, Akito Suzuki
In this paper, we introduce a multidimensional generalization of Kitagawa's split-step discrete-time quantum walk, study the spectrum of its evolution operator for the case of one…
Brudno's theorem for Z^d (or Z^d_+) subshifts
Toru Fuda, Miho Tonozaki
We generalize Brudno's theorem of -dimensional shift dynamical system to (or ) subshifts. That is to say, in (or )…
Convergence Conditions of Mixed States and their von Neumann Entropy in Continuous Quantum Measurements
Toru Fuda
By carrying out appropriate continuous quantum measurements with a family of projection operators, a unitary channel can be approximated in an arbitrary precision in the trace norm…