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Classical Simulation Complexity of Quantum Branching Programs

2022/01/26 by Ablayev, Farid
#Branching Programs #Complexity #Quantum algorithms

paper · doi:10.4230/dagsemproc.07411.3

Abstract

We present classical simulation techniques for measure once quantum branching programs. For bounded error syntactic quantum branching program of width w that computes a function with error delta we present a classical deterministic branching program of the same length and width at most (1+2/(1-2delta))2w that computes the same function. Second technique is a classical stochastic simulation technique for bounded error and unbounded error quantum branching programs. Our result is that it is possible stochastically-classically simulate quantum branching programs with the same length and almost the same width, but we lost bounded error acceptance property.

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