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most citedCollaborative Beamforming for Distributed Wireless Ad Hoc Sensor Networks

613 citations

Showing 2011 · quant-phShow all

6 papers · 2 filters

quant-ph2011★ 2 cited

A note on Ito's formula for discrete-time quantum walk

Norio Konno

We present an Ito's formula for the one-dimensional discrete-time quantum walk and give some examples including a Tanaka's formula by using the formula. Moreover we discuss integra…

quant-ph2011★ 2 cited

Time averaged distribution of a discrete-time quantum walk on the path

Yusuke Ide, Norio Konno, Etsuo Segawa

The discrete time quantum walk which is a quantum counterpart of random walk plays important roles in the theory of quantum information theory. In the present paper, we focus on di…

quant-ph2011★ 4 cited

Limit measures of inhomogeneous discrete-time quantum walks in one dimension

Norio Konno, Tomasz Luczak, Etsuo Segawa

We treat three types of measures of the quantum walk (QW) with the spatial perturbation at the origin, which was introduced by [1]: time averaged limit measure, weak limit measure,…

quant-ph2011★ 2 cited

Return probability of one-dimensional discrete-time quantum walks with final-time dependence

Yusuke Ide, Norio Konno, Takuya Machida +1

We analyze final-time dependent discrete-time quantum walks in one dimension. We compute asymptotics of the return probability of the quantum walk by a path counting approach. More…

quant-ph2011★ 1 cited

On the relation between quantum walks and zeta functions

Norio Konno, Iwao Sato

We present an explicit formula for the characteristic polynomial of the transition matrix of the discrete-time quantum walk on a graph via the second weighted zeta function. As app…

quant-ph2011★ 3 cited

Sojourn times of the Hadamard walk in one dimension

Norio Konno

The Hadamard walk is a typical model of the discrete-time quantum walk. We investigate sojourn times of the Hadamard walk on a line by a path counting method.