A simple approach to approximate quantum error correction Export

@article{citeulike:5730544, abstract = {We demonstrate that there exists a universal, near-optimal recovery map--the transpose channel--for approximate quantum error-correcting codes, where optimality is defined using the worst-case fidelity. This analytical result is to be compared against past work relying on exhaustive numerical search for the optimal recovery map, with optimality defined based on entanglement fidelity. Using the transpose channel, we provide an alternative interpretation of the standard quantum error correction (QEC) conditions, and generalize them to a set of conditions for approximate QEC (AQEC) codes. This forms the basis of a simple algorithm for finding AQEC codes. For the most practically useful case of codes encoding a single qubit of information, the algorithm is particularly easy to implement.}, archivePrefix = {arXiv}, author = {Ng, Hui K. and Mandayam, Prabha}, citeulike-article-id = {5730544}, citeulike-linkout-0 = {http://arxiv.org/abs/0909.0931}, citeulike-linkout-1 = {http://arxiv.org/pdf/0909.0931}, day = {4}, eprint = {0909.0931}, keywords = {physics, printed, quantum, quantum-information}, month = {Sep}, posted-at = {2009-09-08 19:47:30}, priority = {2}, title = {A simple approach to approximate quantum error correction}, url = {http://arxiv.org/abs/0909.0931}, year = {2009} }

TY - JOUR ID - citeulike:5730544 L3 - citeulike-article-id:5730544 N2 - We demonstrate that there exists a universal, near-optimal recovery map--the transpose channel--for approximate quantum error-correcting codes, where optimality is defined using the worst-case fidelity. This analytical result is to be compared against past work relying on exhaustive numerical search for the optimal recovery map, with optimality defined based on entanglement fidelity. Using the transpose channel, we provide an alternative interpretation of the standard quantum error correction (QEC) conditions, and generalize them to a set of conditions for approximate QEC (AQEC) codes. This forms the basis of a simple algorithm for finding AQEC codes. For the most practically useful case of codes encoding a single qubit of information, the algorithm is particularly easy to implement. TI - A simple approach to approximate quantum error correction KW - physics KW - printed KW - quantum KW - quantum-information AU - Ng, Hui AU - Mandayam, Prabha PY - 2009/Sep/04/ UR - http://arxiv.org/abs/0909.0931 ER -