41 citations · 163 across the 12 of their papers we have counts for
11 papers
Benchmarking Quantum Instruments
Darian McLaren, Matthew A. Graydon, Ali Assem Mahmoud +1
Quantum measurements with feed-forward are crucial components of fault-tolerant quantum computers. We show how the error rate of such a measurement can be directly estimated by fit…
Locally Tomographic Shadows (Extended Abstract)
Howard Barnum, Matthew A. Graydon, Alex Wilce
Given a monoidal probabilistic theory -- a symmetric monoidal category of systems and processes, together with a functor assigning concrete probabilistic…
Stochastic errors in quantum instruments
Darian McLaren, Matthew A. Graydon, Joel J. Wallman
Fault-tolerant quantum computation requires non-destructive quantum measurements with classical feed-forward. Many experimental groups are actively working towards implementing suc…
Designing Stochastic Channels
Matthew A. Graydon, Joshua Skanes-Norman, Joel J. Wallman
Stochastic channels are ubiquitous in the field of quantum information because they are simple and easy to analyze. In particular, Pauli channels and depolarizing channels are wide…
Clifford groups are not always 2-designs
Matthew A. Graydon, Joshua Skanes-Norman, Joel J. Wallman
The Clifford group is the quotient of the normalizer of the Weyl-Heisenberg group in dimension by its centre. We prove that when is not prime the Clifford group is not a gr…
Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
Matthew A. Graydon
Physical theories can be characterized in terms of their state spaces and their evolutive equations. The kinematical structure and the dynamical structure of finite dimensional qua…
Composites and Categories of Euclidean Jordan Algebras
Howard Barnum, Matthew A. Graydon, Alexander Wilce
We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras (EJAs), satisfying some reasonable additional constraints motivated by the…
Entanglement and Designs
Matthew A. Graydon, D. M. Appleby
We describe a connection between entanglement and designs. It involves the conical 2-designs introduced in a previous paper. These are a generalization of projective 2-designs whic…
Some Nearly Quantum Theories
Howard Barnum, Matthew A. Graydon, Alexander Wilce
We consider possible non-signaling composites of probabilistic models based on euclidean Jordan algebras. Subject to some reasonable constraints, we show that no such composite exi…
Quantum Conical Designs
Matthew A. Graydon, D. M. Appleby
Complex projective t-designs, particularly SICs and full sets of MUBs, play an important role in quantum information. We introduce a generalization which we call conical t-designs.…
Quaternionic Quantum Dynamics on Complex Hilbert Spaces
Matthew A. Graydon
We consider a quaternionic quantum formalism for the description of quantum states and quantum dynamics. We prove that generalized quantum measurements on physical systems in quate…