75 citations · 544 across the 41 of their papers we have counts for
4 papers · 1 filter
Shaded tangles for the design and verification of quantum circuits
David J. Reutter, Jamie Vicary
We give a scheme for interpreting shaded tangles as quantum circuits, with the property that if two shaded tangles are ambient isotopic, their corresponding computational effects a…
Normalization for planar string diagrams and a quadratic equivalence algorithm
Antonin Delpeuch, Jamie Vicary
In the graphical calculus of planar string diagrams, equality is generated by exchange moves, which swap the heights of adjacent vertices. We show that left- and right-handed excha…
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…
Quantum teleportation with infinite reference frame uncertainty and without prior alignment
Dominic Verdon, Jamie Vicary
We present two new schemes for quantum teleportation between parties whose local reference frames are misaligned by the action of a compact Lie group G. These schemes require no pr…