Physics – Quantum Physics
Scientific paper
2004-11-09
Phys. Rev. A 74, 042304 (2006)
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.74.042304
We introduce the concept of a quantum walk with two particles and study it for the case of a discrete time walk on a line. A quantum walk with more than one particle may contain entanglement, thus offering a resource unavailable in the classical scenario and which can present interesting advantages. In this work, we show how the entanglement and the relative phase between the states describing the coin degree of freedom of each particle will influence the evolution of the quantum walk. In particular, the probability to find at least one particle in a certain position after $N$ steps of the walk, as well as the average distance between the two particles, can be larger or smaller than the case of two unentangled particles, depending on the initial conditions we choose. This resource can then be tuned according to our needs, in particular to enhance a given application (algorithmic or other) based on a quantum walk. Experimental implementations are briefly discussed.
Bose Sangita
Omar Yara
Paunkovic Nikola
Sheridan Lana
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