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• W3101719084 abstract "In this work, we present a method of decomposition of arbitrary unitary matrix $$Uin mathbf {U}(2^k)$$ into a product of single-qubit negator and controlled- $$sqrt{text{ NOT }}$$ gates. Since the product results with negator matrix, which can be treated as complex analogue of bistochastic matrix, our method can be seen as complex analogue of Sinkhorn–Knopp algorithm, where diagonal matrices are replaced by adding and removing an one-qubit ancilla. The decomposition can be found constructively, and resulting circuit consists of $$O(4^k)$$ entangling gates, which is proved to be optimal. An example of such transformation is presented." @default.
• W3101719084 created "2020-11-23" @default.
• W3101719084 creator A5003017876 @default.
• W3101719084 creator A5074004846 @default.
• W3101719084 date "2016-10-12" @default.
• W3101719084 modified "2023-10-15" @default.
• W3101719084 title "Constructive quantum scaling of unitary matrices" @default.
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• W3101719084 doi "https://doi.org/10.1007/s11128-016-1448-z" @default.
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