Reference : On the Identication of Symmetric N-qubit Maximally Entangled States
Scientific congresses and symposiums : Poster
Physical, chemical, mathematical & earth Sciences : Physics
http://hdl.handle.net/2268/164440
On the Identication of Symmetric N-qubit Maximally Entangled States
English
Baguette, Dorian mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
Bastin, Thierry mailto [Université de Liège - ULiège > Département de physique > Spectroscopie atomique et Physique des atomes froids >]
Martin, John mailto [Université de Liège - ULiège > Département de physique > Optique quantique >]
11-Mar-2014
A0
No
No
International
Entanglement Detection and Quantification
10/03/2014 - 13/03/2014
Géza Tóth, Otfried Gühne, Marcus Cramer
Bilbao
Spain
[en] Entanglement ; Symmetric states ; quantum information
[en] Maximally entangled states can serve as a useful resource in many different contexts. It is therefore important to identify those states. Here we are interested in the identification of maximally entangled states in the symmetric subspace of an N-qubit system. By maximally entangled states, we refer to symmetric states characterized by a one qubit reduced density matrix proportional to the identity. These states maximise various entanglement measures [1] such as von Neumann and Meyer-Wallach entropy and are unique up to LU in their SLOCC class [2]. We identify and characterize all maximally entangled symmetric states up to 4 qubits. We provide general conditions for a symmetric state with an arbitrary number of qubits to be maximally entangled and identify families of SLOCC classes which do not contain any maximally entangled states.

[1] F. Verstraete, J. Dehaene, B. De Moor, Phys. Rev. A 68, 012103 (2003).
[2] G. Gour, N. Wallach, N. J. Phys. 13, 073013 (2011)
http://hdl.handle.net/2268/164440

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