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Quantum circuits generating four-qubit maximally entangled states

Published online by Cambridge University Press:  28 September 2022

Marc Bataille Open the ORCID record for Marc Bataille [Opens in a new window]
Marc Bataille*
Affiliation:
LITIS Laboratory, Université Rouen-Normandie, 685 Avenue de l’Université, 76800 Saint-Étienne-du-Rouvray, France
*
Email: marc.bataille1@univ-rouen.fr
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Abstract

We describe quantum circuits generating four-qubit maximally entangled states, the amount of entanglement being quantified by using the absolute value of the Cayley hyperdeterminant as an entanglement monotone. More precisely we show that this type of four-qubit entangled states can be obtained by the action of a family of $\mathtt{CNOT}$ circuits on some special states of the LU orbit of the state $|0000\rangle$ .

Keywords

quantum informationquantum circuitsentanglementhyperdeterminant
Type
Paper
Information
Mathematical Structures in Computer Science , Volume 32 , Issue 3 , March 2022 , pp. 257 - 270
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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