The Separability Problem in Two Qubits Revisited

Honorine Gnonfin; Laure Gouba

doi:10.20944/preprints202309.1373.v1

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202309.1373.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Separability Problem in Two Qubits Revisited

Honorine Gnonfin

and

Laure Gouba

Version 1 : Received: 19 September 2023 / Approved: 19 September 2023 / Online: 20 September 2023 (10:02:28 CEST)

A peer-reviewed article of this Preprint also exists.

Gnonfin, H.; Gouba, L. The Separability Problem in Two Qubits Revisited. Symmetry 2023, 15, 2089. Gnonfin, H.; Gouba, L. The Separability Problem in Two Qubits Revisited. Symmetry 2023, 15, 2089.

Abstract

The separability problem is one of the basic and emergent problems in present and future quantum information processing. The latter focuses on information and computing based on quantum mechanics and uses quantum bits as its basic information units. In this paper we present an overview of the progress in the separability problem in bipartite systems, more specifically in two quantum bits (qubits) system, from the criterion based on the Bell’s inequalities in 1964 to the Li-Qiao Criterion and the enhanced entanglement criterion based on the symmetric informationally complete positive operator valued measures (SIC POVMs) in 2018.

Keywords

qubits; separability criteria; entanglement

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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