Universal Quantum Circuits

We define and construct efficient depth-universal and almost-size-universal quantum circuits. Such circuits can be viewed as general-purpose simulators for central classes of quantum circuits and can be used to capture the computational power of the circuit class being simulated. For depth we constr...

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Hauptverfasser: Bera, Debajyoti, Fenner, Stephen, Green, Frederic, Homer, Steve
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Fenner, Stephen
Green, Frederic
Homer, Steve
description We define and construct efficient depth-universal and almost-size-universal quantum circuits. Such circuits can be viewed as general-purpose simulators for central classes of quantum circuits and can be used to capture the computational power of the circuit class being simulated. For depth we construct universal circuits whose depth is the same order as the circuits being simulated. For size, there is a log factor blow-up in the universal circuits constructed here. We prove that this construction is nearly optimal.
doi_str_mv 10.48550/arxiv.0804.2429
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subjects Computer Science - Computational Complexity
Physics - Quantum Physics
title Universal Quantum Circuits
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