A. J. Scott

Publications34
h-index16
Citations2,040
Highly Influential Citations166
Claim Author Page
Author pages are created from data sourced from our academic publisher partnerships and public sources.

Recommended Authors

  • H. Wiseman
  • 414 Publications • 12,835 Citations
  • S. G. Hoggar
  • 44 Publications • 768 Citations
  • C. Caves
  • 201 Publications • 14,088 Citations
  • G. Milburn
  • 477 Publications • 19,751 Citations
  • Publications
  • Influence
Symmetric informationally complete quantum measurements
TLDR
It is conjecture that a particular kind of group-covariant SIC–POVM exists in arbitrary dimensions, providing numerical results up to dimension 45 to bolster this claim.
View PDF on arXiv
Tight informationally complete quantum measurements
We introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, 'as close as possible' to orthonormal bases for the space of quantum…
View PDF on arXiv
Symmetric informationally complete positive-operator-valued measures: A new computer study
We report on a new computer study of the existence of d2 equiangular lines in d complex dimensions. Such maximal complex projective codes are conjectured to exist in all finite dimensions and are the…
View via Publisher
SIC-POVMs: A new computer study
We report on a new computer study into the existence of d2 equiangular lines in d complex dimensions. Such maximal complex projective codes are conjectured to exist in all finite dimensions and are…
View PDF on arXiv
Multipartite entanglement, quantum-error-correcting codes, and entangling power of quantum evolutions
TLDR
It is exposed a connection between such measures and quantum-error-correcting codes by deriving a formula relating the weight distribution of the code to the average entanglement of encoded states.
View PDF on arXiv
Weighted complex projective 2-designs from bases : Optimal state determination by orthogonal measurements
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 the same basis, then…
View PDF on arXiv
Optimizing quantum process tomography with unitary 2-designs
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 include complete…
View PDF on arXiv
Unitary designs and codes
TLDR
In this paper, irreducible representations of the unitary group are used to find a general lower bound on the size of a unitary t-design in U(d), for any d and t.
View on Springer
SICs: Extending the list of solutions
Zauner's conjecture asserts that $d^2$ equiangular lines exist in all $d$ complex dimensions. In quantum theory, the $d^2$ lines are dubbed a SIC, as they define a favoured standard informationally…
View PDF on arXiv
Fibonacci-Lucas SIC-POVMs
We present a conjectured family of symmetric informationally complete positive operator valued measures which have an additional symmetry group whose size is growing with the dimension. The symmetry…
View PDF on arXiv
...
...