35 citations · 73 across the 19 of their papers we have counts for
19 papers
Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect
Takako Endo, Yohei Matsumoto, Hiromichi Ohno +1
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted…
A mathematical framework for maze solving using quantum walks
Leo Matsuoka, Hiromichi Ohno, Etsuo Segawa
We provide a mathematical framework for identifying the shortest path in a maze using a Grover walk, which becomes non-unitary by introducing absorbing holes. In this study, we def…
One parameter generalization of BW inequality and its application to open quantum dynamics
Dariusz Chruściński, Gen Kimura, Hiromichi Ohno +1
In this paper, we introduce a one parameter generalization of the famous Böttcher-Wenzel (BW) inequality in terms of a -deformed commutator. For matrices and $B…
Bounding the Frobenius norm of a q-deformed commutator
Dariusz Chruściński, Gen Kimura, Hiromichi Ohno +1
For two complex matrices and , we define the -deformed commutator as for a real parameter . In this paper, we investigate a gen…
Constraints for the spectra of generators of quantum dynamical semigroups
Dariusz Chruscinski, Ryohei Fujii, Gen Kimura +1
Motivated by a spectral analysis of the generator of completely positive trace-preserving semigroup, we analyze a real functional $$ A,B \in M_n(\mathbb{C}) \to r(A,B) = \frac{1}{2…
Unitary equivalence classes of split-step quantum walks
Akihiro Narimatsu, Hiromichi Ohno, Kazuyuki Wada
This study investigates the unitary equivalence of split-step quantum walks (SSQW). We consider a new class of quantum walks which includes all SSQWs. We show the explicit form of…