发明名称 |
EFFICIENT SYNTHESIS OF REPEAT-UNTIL-SUCCESS CIRCUITS IN CLIFFORD + T BASIS |
摘要 |
Repeat-Until-Success (RUS) circuits are compiled in a Clifford+T basis by selecting a suitable cyclotomic integer approximation of a target rotation so that the rotation is approximated within a predetermined precision. The cyclotomic integer approximation is randomly modified until a modified value can be expanded into a single-qubit unitary matrix by solving one or more norm equations. The matrix is then expanded into a two-qubit unitary matrix of special form, which is then decomposed into an optimal two-qubit Clifford+T circuit. A two-qubit RUS circuit using a primary qubit and an ancillary qubit is then obtained based on the latter decomposition. An alternate embodiment is disclosed that keeps the total T-depth of the derived circuit small using at most 3 additional ancilla qubits. Arbitrary unitary matrices defined over the cyclotomic field of 8th roots of unity are implemented with RUS circuits. |
申请公布号 |
US2017032272(A1) |
申请公布日期 |
2017.02.02 |
申请号 |
US201515302887 |
申请日期 |
2015.04.01 |
申请人 |
Microsoft Technology Licensing, LLC |
发明人 |
Bocharov Alexei;Svore Krysta M.;Roetteler Martin |
分类号 |
G06N99/00;G06F17/16 |
主分类号 |
G06N99/00 |
代理机构 |
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代理人 |
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主权项 |
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地址 |
Redmond WA US |