Implementing fanout, parity, and Mod gates via spin exchange interactions

Details Implementing fanout, parity, and Mod gates via spin exchange interactions Implementing fanout, parity, and Mod gates via spin exchange interactions

2004-07-16

arxiv.org/abs/quant-ph/0407125v1

Physics

Quantum Physics

14 pages, 7 figures, LaTeX

Scientific paper

We show that, for any n > 0, the Heisenberg interaction among 2n qubits (as spin-1/2 particles) can be used to exactly implement an n-qubit parity gate, which is equivalent in constant depth to an n-qubit fanout gate. Either isotropic or nonisotropic versions of the interaction can be used. We generalize our basic results by showing that any Hamiltonian (acting on suitably encoded logical qubits), whose eigenvalues depend quadratically on the Hamming weight of the logical qubit values, can be used to implement generalized Mod_q gates for any q > 1. This paper is a sequel to quant-ph/0309163, and resolves a question left open in that paper.

Affiliated with

Also associated with

No associations

Rating

Implementing fanout, parity, and Mod gates via spin exchange interactions 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 Implementing fanout, parity, and Mod gates via spin exchange interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Implementing fanout, parity, and Mod gates via spin exchange interactions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-636564