An explicit expression for the probability distribution of a continuous-time quantum walk on a line is given. As a corollary, a new limit theorem for the walk is also presented
As a unitary quantum walk with infinitely many internal degrees of freedom, the quantum walk in term...
Probability distribution of the discrete-time quantum walk (DTQW) described in the text in the posit...
In this paper we consider the scaled limit of a continuous-time random walk (CTRW) based on a Markov...
AbstractThis paper gives various asymptotic formulae for the transition probability associated with ...
The continuous limit of one dimensional discrete-time quantum walks with time- and space-dependent c...
International audienceOpen Quantum Walks (OQWs), originally introduced in [2], are quantum generaliz...
The probability distribution of a discrete-time quantum walk (blue line) and a classical random walk...
I will present several open problems in the context of continuous-time quantum walks in graphs. To e...
UnrestrictedThe topics presented in this thesis have continuous quantum measurements and quantum wal...
Quantum walks are powerful tools not only for constructing the quantum speedup algorithms but also f...
54 pages, 24 figuresWe study continuous time quantum random walk on a comb with infinite teeth and s...
We investigate the quantization of continuous-time random walks (CTRW) on a circle. It is demonstrat...
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-ti...
After a short review of the notion of a quantum Markov chain, a particular class of such chains, ...
Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for...
As a unitary quantum walk with infinitely many internal degrees of freedom, the quantum walk in term...
Probability distribution of the discrete-time quantum walk (DTQW) described in the text in the posit...
In this paper we consider the scaled limit of a continuous-time random walk (CTRW) based on a Markov...
AbstractThis paper gives various asymptotic formulae for the transition probability associated with ...
The continuous limit of one dimensional discrete-time quantum walks with time- and space-dependent c...
International audienceOpen Quantum Walks (OQWs), originally introduced in [2], are quantum generaliz...
The probability distribution of a discrete-time quantum walk (blue line) and a classical random walk...
I will present several open problems in the context of continuous-time quantum walks in graphs. To e...
UnrestrictedThe topics presented in this thesis have continuous quantum measurements and quantum wal...
Quantum walks are powerful tools not only for constructing the quantum speedup algorithms but also f...
54 pages, 24 figuresWe study continuous time quantum random walk on a comb with infinite teeth and s...
We investigate the quantization of continuous-time random walks (CTRW) on a circle. It is demonstrat...
In this article, we undertake a detailed study of the limiting behavior of a three-state discrete-ti...
After a short review of the notion of a quantum Markov chain, a particular class of such chains, ...
Quantum walks, the quantum mechanical counterpart of classical random walks, is an advanced tool for...
As a unitary quantum walk with infinitely many internal degrees of freedom, the quantum walk in term...
Probability distribution of the discrete-time quantum walk (DTQW) described in the text in the posit...
In this paper we consider the scaled limit of a continuous-time random walk (CTRW) based on a Markov...