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METHOD AND SYSTEM FOR EFFICIENT DECOMPOSITION OF SINGLE-QUBIT QUANTUM GATES INTO FIBONACCI ANYON BRAID CIRCUITS
METHOD AND SYSTEM FOR EFFICIENT DECOMPOSITION OF SINGLE-QUBIT QUANTUM GATES INTO FIBONACCI ANYON BRAID CIRCUITS
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机译:用于在Fibonacci Anyon编织电路中有效地分解单个Qubit量子门的方法和系统
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摘要
Methods for compiling single-qubit quantum gates into braid representations for non-Abelian quasiparticles described by the Fibonacci anyon model are based on a probabilistically polynomial algorithm that, given a single-qubit unitary gate and a desired target precision, outputs a braid pattern that approximates the unitary to desired precision and has a length that is asymptotically optimal (for a circuit with such property). Single-qubit unitaries that can be implemented exactly by a Fibonacci anyon braid pattern are classified, and associated braid patterns are obtained using an iterative procedure. Target unitary gates that are not exactly representable as braid patterns are first approximated to a desired precision by a unitary that is exactly representable, then a braid pattern associated with the latter is obtained.
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