,Implementing Classical Hadamard Transform Algorithm by Continuous Variable Cluster State

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Measurement-based one-way quantum computation,which uses cluster states as resources,provides an efficient model to perform computation.However,few of the continuous variable (CV) quantum algorithms and classical algorithms based on one-way quantum computation were proposed.In this work,we propose a method to implement the classical Hadamard transform algorithm utilizing the CV cluster state.Compared with classical computation,only half operations are required when it is operated in the one-way CV quantum computer.As an example,we present a concrete scheme of four-mode classical Hadamard transform algorithm with a four-partite CV cluster state.This method connects the quantum computer and the classical algorithms,which shows the feasibility of running classical algorithms in a quantum computer effciently.
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