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Improved Quantum Ternary Arithmetics
Alex Bocharov, Shawn X. Cui, Martin Roetteler +1
Qutrit (or ternary) structures arise naturally in many quantum systems, particularly in certain non-abelian anyon systems. We present efficient circuits for ternary reversible and…
A Framework for Approximating Qubit Unitaries
Vadym Kliuchnikov, Alex Bocharov, Martin Roetteler +1
We present an algorithm for efficiently approximating of qubit unitaries over gate sets derived from totally definite quaternion algebras. It achieves -approximations…
Efficient Topological Compilation for Weakly-Integral Anyon Model
Alex Bocharov, Shawn X. Cui, Vadym Kliuchnikov +1
A class of anyonic models for universal quantum computation based on weakly-integral anyons has been recently proposed. While universal set of gates cannot be obtained in this cont…