Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace

Louvet, Jonathan; Serrano Ensástiga, Eduardo; Bastin, Thierry; Martin, John

doi:10.1103/physreva.111.042418

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Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace

Louvet, Jonathan; Serrano Ensástiga, Eduardo; Bastin, Thierry et al.

2025 • In Physical Review. A, 111, p. 042418

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https://hdl.handle.net/2268/330665

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10.1103/physreva.111.042418

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Keywords :

Quantum Entanglement; Entanglement Detection; Quantum Information Theory

Abstract :

[en] The equivalence between absolutely separable states and absolutely positive partial transposed (PPT) states in general remains an open problem in quantum entanglement theory. In this work, we study an analogous question for symmetric multiqubit states. We show that symmetric absolutely PPT (SAPPT) states (symmetric states that remain PPT after any symmetry-preserving unitary evolution) are not always symmetric absolutely separable by providing explicit counterexamples. More precisely, we construct a family of entangled five-qubit SAPPT states. Similar counterexamples for larger odd numbers of qubits are identified.

Research Center/Unit :

CESAM - Complex and Entangled Systems from Atoms to Materials - ULiège

Disciplines :

Physics

Author, co-author :

Louvet, Jonathan ; Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids

Serrano Ensástiga, Eduardo ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)

Bastin, Thierry ; Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids

Martin, John ; Université de Liège - ULiège > Département de physique > Optique quantique

Language :

English

Title :

Nonequivalence between absolute separability and positive partial transposition in the symmetric subspace

Publication date :

2025

Journal title :

Physical Review. A

ISSN :

2469-9926

eISSN :

2469-9934

Publisher :

American Physical Society (APS)

Volume :

111

Pages :

042418

Peer reviewed :

Peer Reviewed verified by ORBi

Tags :

CÉCI : Consortium des Équipements de Calcul Intensif

Additional URL :

https://link.aps.org/article/10.1103/PhysRevA.111.042418

Funders :

F.R.S.-FNRS - Fonds de la Recherche Scientifique
EOS - The Excellence Of Science Program
ULiège - University of Liège

Funding number :

IISN Convention 4.4512.08; EOS Project No. 40007526; CECI, F.R.S.-FNRS No. 2.5020.11

Funding text :

Postdoctoral fellowship of the IPD-STEMA program of the University of Liège

Available on ORBi :

since 14 April 2025

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