Self-Correcting Quantum Computers

Details Self-Correcting Quantum Computers Self-Correcting Quantum Computers

2009-07-29

arxiv.org/abs/0907.5228v1

Physics

Quantum Physics

RevTeX, 20 pages

Scientific paper

Is the notion of a quantum computer resilient to thermal noise unphysical? We address this question from a constructive perspective and show that local quantum Hamiltonian models provide self-correcting quantum computers. To this end, we first give a sufficient condition on the connectedness of excitations for a stabilizer code model to be a self-correcting quantum memory. We then study the two main examples of topological stabilizer codes in arbitrary dimensions and establish their self-correcting capabilities. Also, we address the transversality properties of topological color codes, showing that 6D color codes provide a self-correcting model that allows the transversal and local implementation of a universal set of operations in seven spatial dimensions. Finally, we give a procedure to initialize such quantum memories at finite temperature.

Affiliated with

Also associated with

No associations

Rating

Self-Correcting Quantum Computers 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 Self-Correcting Quantum Computers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Self-Correcting Quantum Computers will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-468485