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Open Quantum Systems Decoherence

Transpiling Quantum Circuits using the Pentagon Equation

arXiv
Authors: Christos Aravanis, Georgios Korpas, Jakub Marecek

Year

2022

Paper ID

58857

Status

Preprint

Abstract Read

~2 min

Abstract Words

83

Citations

N/A

Abstract

We consider the application of the pentagon equation in the context of quantum circuit compression. We show that if solutions to the pentagon equation are found, one can transpile a circuit involving non-Heisenberg-type interactions to a circuit involving only Heisenberg-type interactions while, in parallel, reducing the depth of a circuit. In this context, we consider a model of non-local two-qubit operations of Zhang et. al. (the A gate), and show that for certain parameters it is a solution of the pentagon equation.

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  • We consider the application of the pentagon equation in the context of quantum circuit compression.

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