Name
Abstract | ||
|---|---|---|
The ability to protect quantum information from the effect of noise is one of the majorgoals of quantum information processing. In this article, we study limitations on theasymptotic stability of quantum information stored in passive N-qubit systems. Weconsider the effect of small imperfections in the implementation of the protecting Hamil-tonian in the form of perturbations or weak coupling to a ground state environment.We thus depart from the usual Markovian approximation for a thermal bath by concen-trating on models for which part of the evolution can be calculated exactly. We provethat, regardless of the protecting Hamiltonian, there exists a perturbed evolution thatnecessitates a final error correcting step for the state of the memory to be read. Suchan error correction step is shown to require a finite error threshold, the lack thereofbeing exemplified by the 3D XZ-compass model [1]. We go on to present explicit weakHamiltonian perturbations which destroy the logical information stored in the 2D toriccode in a time O(log(N)). |
Year | Venue | Keywords |
|---|---|---|
2010 | Quantum Information & Computation | explicit weakhamiltonian perturbation,quantum information,passive protection,quantum information processing,ground state environment,passive n-qubit system,xz-compass model,final error,logical information,finite error threshold,suchan error correction step,ground state,error correction,error threshold,asymptotic stability,quantum physics |
Field | DocType | Volume |
Open quantum system,Decoherence-free subspaces,Quantum mechanics,Quantum information,Quantum channel,Mathematics,Quantum capacity,Quantum operation,Quantum error correction,Coherent information | Journal | 10 |
Issue | ISSN | Citations |
7 | Quantum Inf. Comput. 10, 580 (2010) | 3 |
PageRank | References | Authors |
0.58 | 4 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Fernando Pastawski | 1 | 24 | 1.81 |
| Alastair Kay | 2 | 3 | 1.25 |
| Norbert Schuch | 3 | 21 | 2.35 |
| Ignacio Cirac | 4 | 6 | 3.01 |