Phys. Rev. Lett. 82, 4556–4559 (1999)Concatenating Decoherence-Free Subspaces with Quantum Error Correcting CodesReceived 28 September 1998; published in the issue dated 31 May 1999 An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFS's are the class of quantum error correcting codes (QECC's) with fixed, unitary recovery operators and (ii) find explicit representations for the Kraus operators of collective decoherence. We demonstrate how this can be used to construct a concatenated DFS-QECC code which protects against collective decoherence perturbed by independent decoherence. The code yields an error threshold which depends only on the perturbing independent decoherence rate. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.82.4556
DOI:
10.1103/PhysRevLett.82.4556
PACS:
03.67.Lx, 03.65.Bz, 03.65.Fd, 89.70.+c
|
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.