Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices

Details Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices Only n-Qubit Greenberger-Horne-Zeilinger States are Undetermined by their Reduced Density Matrices

2007-07-30

arxiv.org/abs/0707.4428v2

Phys. Rev. Lett. 100, 050501 (2008)

Physics

Quantum Physics

4 pages

Scientific paper

10.1103/PhysRevLett.100.050501

The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only states of n qubits that are not uniquely determined among pure states by their reduced density matrices of n-1 qubits. Thus, among pure states, the generalized GHZ states are the only ones containing information at the n-party level. We point out a connection between local unitary stabilizer subgroups and the property of being determined by reduced density matrices.

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