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


Personal Author(s) : Dengis,John ; Konig,Robert ; Pastawski,Fernando


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/1033721.pdf


Report Date : 16 Jan 2014


Pagination or Media Count : 12


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 O(L), 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.


Descriptors :   quantum computing , coders , dissipation , quantum information , excitation , steady state


Subject Categories : Quantum Theory and Relativity
      Cybernetics


Distribution Statement : APPROVED FOR PUBLIC RELEASE