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A collection of orthonormal bases for a d × d Hilbert space is called mutually unbiased (MUB) if for any two vectors v and w from different bases the square of the inner product equals 1/d: |v, w| 2 = 1 d. The MUB problem is to prove or disprove the the existence of a maximal set of d+1 bases. It has been shown in [W. that such a collection exists if d is a… (More)

A finite dimensional quantum mechanical system is modeled by a density ρ, a trace one, positive semi-definite matrix on a suitable tensor product space H [N]. For the system to demonstrate experimentally certain non-classical behavior, ρ cannot be in S, a closed convex set of densities whose extreme points have a specificed tensor product form. Two… (More)

In a series of papers with Kossakowski, the first author has examined properties of densities for which the positive partial transposition (PPT) property can be readily checked. These densities were also investigated from a different perspective by Baumgartner, Hiesmayr and Narnhofer. In this paper we show how the support of such densities can be expressed… (More)

- A. O. Pittenger
- Math. Oper. Res.
- 1988

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