Physics – Quantum Physics
Scientific paper
1999-12-28
Phys. Rev. A62, 042306 (2000).
Physics
Quantum Physics
Scientific paper
10.1103/PhysRevA.62.042306
Necessary conditions for separability are most easily expressed in the computational basis, while sufficient conditions are most conveniently expressed in the spin basis. We use the Hadamard matrix to define the relationship between these two bases and to emphasize its interpretation as a Fourier transform. We then prove a general sufficient condition for complete separability in terms of the spin coefficients and give necessary and sufficient conditions for the complete separability of a class of generalized Werner densities. As a further application of the theory, we give necessary and sufficient conditions for full separability for a particular set of $n$-qubit states whose densities all satisfy the Peres condition.
Pittenger Arthur O.
Rubin Morton H.
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