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Symmetric informationally complete–positive operator valued measures and the extended Clifford group

- D. M. Appleby
- Mathematics
- 19 April 2005

We describe the structure of the extended Clifford group [defined to be the group consisting of all operators, unitary and antiunitary, which normalize the generalized Pauli group (or Weyl–Heisenberg… Expand

SIC-POVMs and the Extended Clifford Group

- D. M. Appleby
- Mathematics
- 1 December 2004

We describe the structure of the extended Clifford Group (defined to be the group consisting of all operators, unitary and anti-unitary, which normalize the generalized Pauli group (or… Expand

Galois automorphisms of a symmetric measurement

- D. M. Appleby, H. Yadsan-Appleby, G. Zauner
- MathematicsQuantum Inf. Comput.
- 9 September 2012

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Concept of Experimental Accuracy and Simultaneous Measurements of Position and Momentum

- D. M. Appleby
- Environmental Science
- 17 March 1998

The concept of experimental accuracy isinvestigated in the context of the unbiased jointmeasurement processes defined by Arthurs and Kelly. Adistinction is made between the errors of retrodictionand… Expand

SIC‐POVMS and MUBS: Geometrical Relationships in Prime Dimension

- D. M. Appleby
- Mathematics
- 10 March 2009

The paper concerns Weyl‐Heisenberg covariant SIC‐POVMs (symmetric informationally complete positive operator valued measures) and full sets of MUBs (mutually unbiased bases) in prime dimension. When… Expand

Properties of the extended Clifford group with applications to SIC-POVMs and MUBs

- D. M. Appleby
- Mathematics
- 28 September 2009

We consider a version of the extended Clifford Group which is defined in terms of a finite Galois field in odd prime power dimension. We show that Neuhauser's result, that with the appropriate choice… Expand

Error Principle

- D. M. Appleby
- Environmental Science
- 18 March 1998

The problem of characterizing the accuracy ofand disturbance caused by a joint measurement ofposition and momentum is investigated. In a previouspaper the problem was discussed in the context of the… Expand

Symmetric informationally complete measurements of arbitrary rank

- D. M. Appleby
- Mathematics
- 27 November 2006

There has been much interest in so-called SIC-POVMs, i.e., rank 1 symmetric informationally complete positive operator valued measures. In this paper we discuss the larger class of POVMs that are… Expand

Linear dependencies in Weyl–Heisenberg orbits

- H. Dang, Kate Blanchfield, I. Bengtsson, D. M. Appleby
- MathematicsQuantum Inf. Process.
- 1 November 2012

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