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5 papers · 2 filters
Optical holonomic single quantum gates with a geometric spin under a zero field
Yuhei Sekiguchi, Naeko Niikura, Ryota Kuroiwa +2
Realization of fast fault-tolerant quantum gates on a single spin is the core requirement for solid-state quantum-information processing. As polarized light shows geometric interfe…
Probability distributions and weak limit theorems of quaternionic quantum walks in one dimension
Kei Saito
The discrete-time quantum walk (QW) is determined by a unitary matrix whose component is complex number. Konno (2015) extended the QW to a walk whose component is quaternion.We cal…
Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
Hikari Kawai, Takashi Komatsu, Norio Konno
We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension. For a general setting, we obtain the stationary measure of the QW by solving the eigenvalue…
A spectral analysis of discrete-time quantum walks related to the birth and death chains
Choon-Lin Ho, Yusuke Ide, Norio Konno +2
In this paper, we consider a spectral analysis of discrete time quantum walks on the path. For isospectral coin cases, we show that the time averaged distribution and stationary di…
Stationary amplitudes of quantum walks on the higher-dimensional integer lattice
Takashi Komatsu, Norio Konno
Stationary measures of quantum walks on the one-dimensional integer lattice are well studied. However, the stationary measure for the higher dimensional case has not been clarified…