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Unpublished conference/Abstract (Scientific congresses and symposiums)
Maximum entanglement and absolute separability of symmetric states under unitary transformations
Serrano Ensástiga, Eduardo; Martin, John; Denis, Jérôme
2023 • Quantum Morocco
Editorial reviewed
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https://hdl.handle.net/2268/307294
 

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Keywords :
entanglement; Quantum physics
Abstract :
[en] The problem studied by Verstraete, Audenaert and De Moor [1] - about the global unitary operations that maximise the entanglement of a bipartite system of qubits - is revisited and solved when we consider the permutation symmetry between the qubits. This condition appears naturally in bosonic or spin-1 systems [2]. Our results also allow us to characterise the set of symmetric absolutely separable states (SAS). For symmetric 3-qubit systems, we present numerical calculations for the maximum entanglement and analytical wirnesses for absolute separability. As an application of our results, we determine the minimum outer ball and the maximum inner ball of the set of SAS states around the maximally mixed state. [1] F. Verstraete, K. Audenaert, and B. De Moor, Phys. Rev. A, 64, 012316, (2001). [2] O. Giraud, P. Braun, and D. Braun, Phys. Rev. A, 78, 042112, (2008). [3] E. Serrano-Ensástiga, and J. Martin, SciPost Phys. 15, 120 (2023).
Disciplines :
Physics
Author, co-author :
Serrano Ensástiga, Eduardo  ;  Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Martin, John  ;  Université de Liège - ULiège > Département de physique ; Université de Liège - ULiège > Département de physique > Optique quantique ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM)
Denis, Jérôme  ;  Université de Liège - ULiège > Département de physique > Optique quantique ; Université de Liège - ULiège > Complex and Entangled Systems from Atoms to Materials (CESAM) ; Université de Liège - ULiège > Faculté des Sciences > Doct. scienc. (physiques)
Language :
English
Title :
Maximum entanglement and absolute separability of symmetric states under unitary transformations
Publication date :
2023
Event name :
Quantum Morocco
Event date :
18-22 September, 2023
Peer reviewed :
Editorial reviewed
Funders :
ULiège - University of Liège
Funding text :
IPD-STEMA Program of the University of Liège
Available on ORBi :
since 03 October 2023

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