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Exact and approximate continuous-variable gate decompositions

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arxiv 2010.07453 v2 pith:3VEQ6VZX submitted 2020-10-15 quant-ph

Exact and approximate continuous-variable gate decompositions

classification quant-ph
keywords gateapproximatecontinuous-variabledecompositionsexacttechniquescountsdecomposition
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We gather and examine in detail gate decomposition techniques for continuous-variable quantum computers and also introduce some new techniques which expand on these methods. Both exact and approximate decomposition methods are studied and gate counts are compared for some common operations. While each having distinct advantages, we find that exact decompositions have lower gate counts whereas approximate techniques can cover decompositions for all continuous-variable operations but require significant circuit depth for a modest precision.

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