{"id":314021,"date":"2018-11-06T17:09:16","date_gmt":"2018-11-07T01:09:16","guid":{"rendered":"https:\/\/www.microsoft.com\/en-us\/research\/?post_type=msr-research-item&p=314021"},"modified":"2018-11-06T17:09:16","modified_gmt":"2018-11-07T01:09:16","slug":"efficient-quantum-circuits-non-qubit-quantum-error-correcting-codes","status":"publish","type":"msr-research-item","link":"https:\/\/www.microsoft.com\/en-us\/research\/publication\/efficient-quantum-circuits-non-qubit-quantum-error-correcting-codes\/","title":{"rendered":"Efficient Quantum Circuits for Non-Qubit Quantum Error-Correcting Codes"},"content":{"rendered":"

We present two methods for the construction of quantum circuits for quantum error-correcting codes (QECC). The underlying quantum systems are tensor products of subsystems (qudits) of equal dimension which is a prime power. For a QECC encoding k qudits into n qudits, the resulting quantum circuit has O(n(n-k)) gates. The running time of the classical algorithm to compute the quantum circuit is O(n(n-k)^2).<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

We present two methods for the construction of quantum circuits for quantum error-correcting codes (QECC). The underlying quantum systems are tensor products of subsystems (qudits) of equal dimension which is a prime power. For a QECC encoding k qudits into n qudits, the resulting quantum circuit has O(n(n-k)) gates. The running time of the classical […]<\/p>\n","protected":false},"featured_media":0,"template":"","meta":{"msr-url-field":"","msr-podcast-episode":"","msrModifiedDate":"","msrModifiedDateEnabled":false,"ep_exclude_from_search":false,"_classifai_error":"","msr-author-ordering":null,"msr_publishername":"","msr_publisher_other":"","msr_booktitle":"","msr_chapter":"","msr_edition":"International Journal of Foundations of Computer Science (IJFCS)","msr_editors":"","msr_how_published":"","msr_isbn":"","msr_issue":"5","msr_journal":"International Journal of Foundations of Computer Science 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