133 citations · 380 across the 10 of their papers we have counts for
10 papers
Generalized Circulant Densities and a Sufficient Condition for Separability
Dariusz Chruscinski, Arthur O. Pittenger
In a series of papers with Kossakowski, the first author has examined properties of densities for which the positive partial transpositrionm (PPT) property can be readily checked.…
Classicality in discrete Wigner functions
Cecilia Cormick, Ernesto F. Galvao, Daniel Gottesman +2
Gibbons et al. [Phys. Rev. A 70, 062101(2004)] have recently defined a class of discrete Wigner functions W to represent quantum states in a Hilbert space with finite dimension. We…
Wigner Functions and Separability for Finite Systems
Arthur O. Pittenger, Morton H. Rubin
A discussion of discrete Wigner functions in phase space related to mutually unbiased bases is presented. This approach requires mathematical assumptions which limits it to systems…
Mutually Unbiased Bases, Generalized Spin Matrices and Separability
Arthur O. Pittenger, Morton H. Rubin
A collection of orthonormal bases for a complex dXd Hilbert space is called mutually unbiased (MUB) if for any two vectors v and w from different bases the square of the inner prod…
Unextendible product bases and the construction of inseparable states
Arthur O. Pittenger
Let H[N] denote the tensor product of n finite dimensional Hilbert spaces H(r). A state |phi> of H[N] is separable if |phi> is the tensor product of states in the respective produc…
The geometry of entanglement witnesses and local detection of entanglement
Arthur O. Pittenger, Morton H. Rubin
Let be a tensor product of Hilbert spaces and let be the closest separable state in the Hilbert-Schmidt norm to an e…