{"id":313967,"date":"2018-11-06T17:09:29","date_gmt":"2018-11-07T01:09:29","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&#038;p=313967"},"modified":"2018-11-06T17:09:29","modified_gmt":"2018-11-07T01:09:29","slug":"quantum-mds-codes","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/quantum-mds-codes\/","title":{"rendered":"On Quantum MDS Codes"},"content":{"rendered":"<p><span style=\"font-family: Palatino Linotype;\">We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q<sup>2<\/sup>+1. In particular, those families contain codes [[6,2,3]]<sub>p<\/sub> and [[7,3,3]]<sub>p<\/sub> for pges3 (cf. [K. Feng (2002)]).<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>We construct maximum distance separable quantum error-correcting codes. The codes are defined over q-dimensional quantum systems, where q is any prime power. The construction yields quantum MDS codes of length up to q+1 for all possible dimensions and some quantum MDS codes of length up to q2+1. In particular, those families contain codes [[6,2,3]]p and [&hellip;]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"footnotes":""},"msr-content-type":[3],"msr-research-highlight":[],"research-area":[243138],"msr-publication-type":[193716],"msr-product-type":[],"msr-focus-area":[],"msr-platform":[],"msr-download-source":[],"msr-locale":[268875],"msr-field-of-study":[],"msr-conference":[],"msr-journal":[],"msr-impact-theme":[],"msr-pillar":[],"class_list":["post-313967","msr-research-item","type-msr-research-item","status-publish","hentry","msr-research-area-quantum","msr-locale-en_us"],"msr_publishername":"","msr_edition":"International Symposium om Information Theory, 2004. 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