Encoded Universality from a Single Physical Interaction

Details Encoded Universality from a Single Physical Interaction Encoded Universality from a Single Physical Interaction

2001-12-03

arxiv.org/abs/quant-ph/0112013v1

Quantum Information and Computation, vol.1 (Special Issue) (2001) pp. 33-55

Physics

Quantum Physics

20 pages, 2 figures

Scientific paper

We present a theoretical analysis of the paradigm of encoded universality, using a Lie algebraic analysis to derive specific conditions under which physical interactions can provide universality. We discuss the significance of the tensor product structure in the quantum circuit model and use this to define the conjoining of encoded qudits. The construction of encoded gates between conjoined qudits is discussed in detail. We illustrate the general procedures with several examples from exchange-only quantum computation. In particular, we extend our earlier results showing universality with the isotropic exchange interaction to the derivation of encoded universality with the anisotropic exchange interaction, i.e., to the XY model. In this case the minimal encoding for universality is into qutrits rather than into qubits as was the case for isotropic (Heisenberg) exchange. We also address issues of fault-tolerance, leakage and correction of encoded qudits.

Affiliated with

Also associated with

No associations

Rating

Encoded Universality from a Single Physical Interaction 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 Encoded Universality from a Single Physical Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Encoded Universality from a Single Physical Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-235399