Communication in XYZ All-to-All Quantum Networks with a Missing Link

Details Communication in XYZ All-to-All Quantum Networks with a Missing Link Communication in XYZ All-to-All Quantum Networks with a Missing Link

2008-08-06

arxiv.org/abs/0808.0748v1

Int. J. Quant. Inf. Vol. 7, pp. 713-723 (2009)

Physics

Quantum Physics

5 pages, 7 eps figures

Scientific paper

We explicitate the relation between Hamiltonians for networks of interacting qubits in the XYZ model and graph Laplacians. We then study evolution in networks in which all sites can communicate with each other. These are modeled by the complete graph K_{n} and called all-to-all networks. It turns out that K_{n} does not exhibit perfect state transfer (PST). However, we prove that deleting an edge in K_{n} allows PST between the two non-adjacent sites, when n is a multiple of four. An application is routing a qubit over n different sites, by switching off the link between the sites that we wish to put in communication. Additionally, we observe that, in certain cases, the unitary inducing evolution in K_{n} is equivalent to the Grover operator.

Affiliated with

Also associated with

No associations

Rating

Communication in XYZ All-to-All Quantum Networks with a Missing Link 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 Communication in XYZ All-to-All Quantum Networks with a Missing Link, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Communication in XYZ All-to-All Quantum Networks with a Missing Link will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-27367