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- W2887228844 abstract "We study single-qutrit gates composed of Clifford and $T$ gates, using the qutrit version of the $T$ gate proposed by Howard and Vala [M. Howard and J. Vala, Phys. Rev. A 86, 022316 (2012)]. We propose a normal form for single-qutrit gates analogous to the Matsumoto-Amano normal form for qubits. We prove that the normal form is optimal with respect to the number of $T$ gates used and that any string of qutrit Clifford+$T$ operators can be put into this normal form in polynomial time. We also prove that this form is unique and provide an algorithm for exact synthesis of any single-qutrit Clifford+$T$ operator." @default.
- W2887228844 created "2018-08-22" @default.
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- W2887228844 date "2018-09-05" @default.
- W2887228844 modified "2023-10-16" @default.
- W2887228844 title "Normal form for single-qutrit Clifford+<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:mi>T</mml:mi></mml:math>operators and synthesis of single-qutrit gates" @default.
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- W2887228844 doi "https://doi.org/10.1103/physreva.98.032304" @default.
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