Generalized X states of N qubits and their symmetries

Details Generalized X states of N qubits and their symmetries Generalized X states of N qubits and their symmetries

2010-05-25

arxiv.org/abs/1005.4656v1

Phys. Rev. A 82, 032336 (2010)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.82.032336

Several families of states such as Werner states, Bell-diagonal states and Dicke states are useful to understand multipartite entanglement. Here we present a [2^(N+1)-1]-parameter family of N-qubit "X states" that embrace all those families, generalizing previously defined states for two qubits. We also present the algebra of the operators that characterize the states and an iterative construction for this algebra, a sub-algebra of su(2^(N)). We show how a variety of entanglement witnesses can detect entanglement in such states. Connections are also made to structures in projective geometry.

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