1.1k citations · 2.1k across the 17 of their papers we have counts for
16 papers
Fibonacci-Lucas SIC-POVMs
Markus Grassl, Andrew J. Scott
We present a conjectured family of SIC-POVMs which have an additional symmetry group whose size is growing with the dimension. The symmetry group is related to Fibonacci numbers, w…
SICs: Extending the list of solutions
A. J. Scott
Zauner's conjecture asserts that equiangular lines exist in all complex dimensions. In quantum theory, the lines are dubbed a SIC, as they define a favoured standar…
The Simplest Demonstrations of Quantum Nonlocality
Dylan J. Saunders, Matthew S. Palsson, Geoff J. Pryde +3
We investigate the complexity cost of demonstrating the key types of nonclassical correlations --- Bell inequality violation, EPR-steering, and entanglement --- with independent ag…
Unitary designs and codes
Aidan Roy, A. J. Scott
A unitary design is a collection of unitary matrices that approximate the entire unitary group, much like a spherical design approximates the entire unit sphere. In this paper, we…
Optimizing quantum process tomography with unitary 2-designs
A. J. Scott
We show that weighted unitary 2-designs define optimal measurements on the system-ancilla output state for ancilla-assisted process tomography of unital quantum channels. Examples…
Weighted complex projective 2-designs from bases: optimal state determination by orthogonal measurements
Aidan Roy, A. J. Scott
We introduce the problem of constructing weighted complex projective 2-designs from the union of a family of orthonormal bases. If the weight remains constant across elements of th…