Quantum computation on the edge of a symmetry-protected topological order

Details Quantum computation on the edge of a symmetry-protected topological order Quantum computation on the edge of a symmetry-protected topological order

2010-03-24

arxiv.org/abs/1003.4662v2

Phys. Rev. Lett. 105, 040501 (2010)

Physics

Quantum Physics

5 pages, 1 figure; the final version

Scientific paper

10.1103/PhysRevLett.105.040501

We elaborate the idea of quantum computation through measuring the correlation of a gapped ground state, while the bulk Hamiltonian is utilized to stabilize the resource. A simple computational primitive, by pulling out a single spin adiabatically from the bulk followed by its measurement, is shown to make any ground state of the one-dimensional isotropic Haldane phase useful ubiquitously as a quantum logical wire. The primitive is compatible with certain discrete symmetries that protect this topological order, and the antiferromagnetic Heisenberg spin-1 finite chain is practically available. Our approach manifests a holographic principle in that the logical information of a universal quantum computer can be written and processed perfectly on the edge state (i.e., boundary) of the system, supported by the persistent entanglement from the bulk even when the ground state and its evolution cannot be exactly analyzed.

Affiliated with

Also associated with

No associations

Rating

Quantum computation on the edge of a symmetry-protected topological order 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 Quantum computation on the edge of a symmetry-protected topological order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum computation on the edge of a symmetry-protected topological order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-57305