The meeting problem in the quantum random walk

Details The meeting problem in the quantum random walk The meeting problem in the quantum random walk

2007-05-14

arxiv.org/abs/0705.1985v1

J. Phys. A: Math. Gen. 39, 14965 (2006)

Physics

Quantum Physics

Scientific paper

10.1088/0305-4470/39/48/009

We study the motion of two non-interacting quantum particles performing a random walk on a line and analyze the probability that the two particles are detected at a particular position after a certain number of steps (meeting problem). The results are compared to the corresponding classical problem and differences are pointed out. Analytic formulas for the meeting probability and its asymptotic behavior are derived. The decay of the meeting probability for distinguishable particles is faster then in the classical case, but not quadratically faster. Entangled initial states and the bosonic or fermionic nature of the walkers are considered.

Affiliated with

Also associated with

No associations

Rating

The meeting problem in the quantum random walk does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The meeting problem in the quantum random walk, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The meeting problem in the quantum random walk will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-366111