{ "id": "1209.0557", "version": "v2", "published": "2012-09-04T08:03:01.000Z", "updated": "2012-10-04T06:57:19.000Z", "title": "Quantum Error Correction with Uniformly Mixed State Ancillae", "authors": [ "Yasushi Kondo", "Chiara Bagnasco", "Mikio Nakahara" ], "comment": "5 pages, 5 figures", "doi": "10.1103/PhysRevA.88.022314", "categories": [ "quant-ph" ], "abstract": "It is often assumed that the ancilla qubits required for encoding a qubit in quantum error correction (QEC) have to be in pure states, $|00...0>$ for example. In this letter, we seek an encoding scheme, in which the ancillae may be in a uniformly mixed state. We demonstrate our scheme experimentally by making use of a three-qubit NMR quantum computer. Moreover, the encoded state has an interesting nature in terms of Quantum Discord, or purely quantum correlations between the data-qubit and ancillae.", "revisions": [ { "version": "v2", "updated": "2012-10-04T06:57:19.000Z" } ], "analyses": { "keywords": [ "quantum error correction", "uniformly mixed state ancillae", "three-qubit nmr quantum computer", "ancilla qubits", "pure states" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1209.0557K" } } }