Encoded Universality from a Single Physical Interaction

Simple item page
dc.creatorKempe, J.
dc.creatorBacon, D.
dc.creatorDiVincenzo, D. P.
dc.creatorWhaley, K. B.
dc.date2001-12-03
dc.date.accessioned2026-07-07T06:03:17Z
dc.date.available2026-07-07T06:03:17Z
dc.descriptionWe 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.
dc.description20 pages, 2 figures
dc.identifierhttps://arxiv.org/abs/quant-ph/0112013
dc.identifierhttp://arxiv.org/abs/quant-ph/0112013
dc.identifierQuantum Information and Computation, vol.1 (Special Issue) (2001) pp. 33-55
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/89879
dc.subjectQuantum Physics
dc.titleEncoded Universality from a Single Physical Interaction
dc.typetext

Files

Collections

arXiv