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- W2611347761 abstract "Many well-known and well-studied four by four universal quantum logic gates in the literature are of a specific form, the so called eight-vertex form eqref{8vertexform} cite{kaufman etal 05-1,kaufman etal 05-2}, or {it similar} to it. We present a formalism for universal quantum logic gates of such a form. First, we provide explicit formulas in terms of matrix entries, which are the necessary and sufficient conditions for such a matrix to be a solution to the Yang-Baxter equation eqref{byb}. Then, combining this with the conditions needed for being unitary eqref{unitarycond} and being entangling eqref{entanglingcond}, we give a full description of entangling unitary solutions to the Yang-Baxter equation (hence, universal quantum logic gates) of such a specific form. We investigate in detail all the possible cases where some of the eight main entries might or might not be zero." @default.
- W2611347761 created "2017-05-12" @default.
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- W2611347761 date "2017-05-02" @default.
- W2611347761 modified "2023-09-27" @default.
- W2611347761 title "A note on eight-vertex universal quantum gates" @default.
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