Équipe de Recherche en Physique de l'Information Quantique


Abstract = {We ask whether there are fundamental limits on storing quantum information reliably in a bounded volume of space. To investigate this question, we study quantum error correcting codes specified by geometrically local commuting constraints on a 2D lattice of finite-dimensional quantum particles. For these 2D systems, we derive a tradeoff between the number of encoded qubits $k$, the distance of the code $d$, and the number of particles $n$. It is shown that $kd^2=O(n)$ where the coefficient in $O(n)$ depends only on the locality of the constraints and dimension of the Hilbert spaces describing individual particles. The analogous tradeoff for the classical information storage is $ksqrt{d} =O(n)$.},
Author = {S. Bravyi and David Poulin and B.M. Terhal},
Date-Added = {2009-10-01 08:43:00 -0400},
Date-Modified = {2010-05-06 13:35:38 -0400},
Eprint = {arXiv:0909.5200},
Journal = {Phys. Rev. Lett.},
Keywords = {Error correction, Self correcting},
Local-Url = {BPT10b.pdf},
Pages = {050503},
Title = {Tradeoffs for reliable quantum information storage in {2D} systems},
Volume = {104},
Year = {2010}}