53 citations · 135 across the 6 of their papers we have counts for
7 papers · 1 filter
Orthogonality for Quantum Latin Isometry Squares
Benjamin Musto, Jamie Vicary
Goyeneche et al recently proposed a notion of orthogonality for quantum Latin squares, and showed that orthogonal quantum Latin squares yield quantum codes. We give a simplified ch…
The Morita theory of quantum graph isomorphisms
Benjamin Musto, David Reutter, Dominic Verdon
We classify instances of quantum pseudo-telepathy in the graph isomorphism game, exploiting the recently discovered connection between quantum information and the theory of quantum…
A compositional approach to quantum functions
Benjamin Musto, David Reutter, Dominic Verdon
We introduce a notion of quantum function, and develop a compositional framework for finite quantum set theory based on a 2-category of quantum sets and quantum functions. We use t…
Characterizing maximal families of mutually unbiased bases
Benjamin Musto
We show that maximal families of mutually unbiased bases are characterized in all dimensions by partitioned unitary error bases, up to a choice of a family of Hadamards. Furthermor…
Exploring quantum teleportation through unitary error bases
Benjamin Musto
Unitary error bases have a great number of applications across quantum information and quantum computation, and are fundamentally linked to quantum teleportation, dense coding and…
Constructing Mutually Unbiased Bases from Quantum Latin Squares
Benjamin Musto
We introduce orthogonal quantum Latin squares, which restrict to traditional orthogonal Latin squares, and investigate their application in quantum information science. We use quan…
Quantum Latin squares and unitary error bases
Benjamin Musto, Jamie Vicary
In this paper we introduce quantum Latin squares, combinatorial quantum objects which generalize classical Latin squares, and investigate their applications in quantum computer sci…