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Measuring the Tangle of Three-Qubit States

1
Departament de Física Quàntica i Astrofísica and Institut de Ciències del Cosmos (ICCUB), Universitat de Barcelona, Martí i Franquès 1, 08028 Barcelona, Spain
2
Barcelona Supercomputing Center, 08034 Barcelona, Spain
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Instituto de Física Teórica, UAM-CSIC, 28049 Madrid, Spain
4
Center for Quantum Technologies, National University of Singapore, Singapore 119077, Singapore
5
Technology Innovation Institute, Abu Dhabi, UAE
*
Author to whom correspondence should be addressed.
Entropy 2020, 22(4), 436; https://doi.org/10.3390/e22040436
Received: 20 March 2020 / Revised: 8 April 2020 / Accepted: 9 April 2020 / Published: 11 April 2020
(This article belongs to the Section Quantum Information)
We present a quantum circuit that transforms an unknown three-qubit state into its canonical form, up to relative phases, given many copies of the original state. The circuit is made of three single-qubit parametrized quantum gates, and the optimal values for the parameters are learned in a variational fashion. Once this transformation is achieved, direct measurement of outcome probabilities in the computational basis provides an estimate of the tangle, which quantifies genuine tripartite entanglement. We perform simulations on a set of random states under different noise conditions to asses the validity of the method. View Full-Text
Keywords: tangle; quantum algorithm; three-qubit state; canonical form tangle; quantum algorithm; three-qubit state; canonical form
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MDPI and ACS Style

Pérez-Salinas, A.; García-Martín, D.; Bravo-Prieto, C.; Latorre , J.I. Measuring the Tangle of Three-Qubit States. Entropy 2020, 22, 436.

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