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Optimal Ancilla-free Pauli+V Circuits for Axial Rotations
Andreas Blass, Alex Bocharov, Yuri Gurevich
Recently Neil Ross and Peter Selinger analyzed the problem of approximating z- rotations by means of single-qubit Clifford+T circuits. Their main contribution is a deterministic-se…
Efficient Approximation of Diagonal Unitaries over the Clifford+T Basis
Jonathan Welch, Alex Bocharov, Krysta M. Svore
We present an algorithm for the approximate decomposition of diagonal operators, focusing specifically on decompositions over the Clifford+ basis, that minimize the number of ph…
Efficient synthesis of probabilistic quantum circuits with fallback
Alex Bocharov, Martin Roetteler, Krysta M. Svore
Recently it has been shown that Repeat-Until-Success (RUS) circuits can approximate a given single-qubit unitary with an expected number of gates of about of what is requ…
Efficient synthesis of universal Repeat-Until-Success circuits
Alex Bocharov, Martin Roetteler, Krysta M. Svore
Recently, it was shown that Repeat-Until-Success (RUS) circuits can achieve a times reduction in expected -count over ancilla-free techniques for single-qubit unitary deco…