Accession Number:

AD1033721

Title:

An Optimal Dissipative Encoder for the Toric Code

Descriptive Note:

Journal Article - Open Access

Corporate Author:

WATERLOO UNIV (ONTARIO) WATERLOO Canada

Report Date:

2014-01-16

Pagination or Media Count:

12.0

Abstract:

We consider the problem of preparing specific encoded resource states for the toric code by local, time-independent interactions with a memoryless environment. We propose the construction of such a dissipative encoder which converts product states to topologically ordered ones while preserving logical information. The corresponding Liouvillian is made up of four local Lindblad operators. For a qubit lattice of size L x L, we show that this process prepares encoded states in time OL, which is optimal. This scaling compares favorably with known local unitary encoders for the toric code which take time of order Omega L2 and require active time-dependent control.

Subject Categories:

  • Quantum Theory and Relativity
  • Cybernetics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE