21 citations · 86 across the 12 of their papers we have counts for
9 papers · 1 filter
The Qudit ZH-Calculus: Generalised Toffoli+Hadamard and Universality
Patrick Roy, John van de Wetering, Lia Yeh
We introduce the qudit ZH-calculus and show how to generalise all the phase-free qubit rules to qudits. We prove that for prime dimensions d, the phase-free qudit ZH-calculus is un…
Graphical CSS Code Transformation Using ZX Calculus
Jiaxin Huang, Sarah Meng Li, Lia Yeh +3
In this work, we present a generic approach to transform CSS codes by building upon their equivalence to phase-free ZX diagrams. Using the ZX calculus, we demonstrate diagrammatic…
The Qupit Stabiliser ZX-travaganza: Simplified Axioms, Normal Forms and Graph-Theoretic Simplification
Boldizsár Poór, Robert I. Booth, Titouan Carette +2
We present a smorgasbord of results on the stabiliser ZX-calculus for odd prime-dimensional qudits (i.e. qupits). We derive a simplified rule set that closely resembles the origina…
Light-Matter Interaction in the ZXW Calculus
Giovanni de Felice, Razin A. Shaikh, Boldizsár Poór +3
In this paper, we develop a graphical calculus to rewrite photonic circuits involving light-matter interactions and non-linear optical effects. We introduce the infinite ZW calculu…
Scaling W state circuits in the qudit Clifford hierarchy
Lia Yeh
We identify a novel qudit gate which we call the gate. This is an alternate generalization of the qutrit gate to any odd prime dimension , in the $d^{\text{th}…
Completeness for arbitrary finite dimensions of ZXW-calculus, a unifying calculus
Boldizsár Poór, Quanlong Wang, Razin A. Shaikh +3
The ZX-calculus is a universal graphical language for qubit quantum computation, meaning that every linear map between qubits can be expressed in the ZX-calculus. Furthermore, it i…
Building Qutrit Diagonal Gates from Phase Gadgets
John van de Wetering, Lia Yeh
Phase gadgets have proved to be an indispensable tool for reasoning about ZX-diagrams, being used in optimisation and simulation of quantum circuits and the theory of measurement-b…
Constructing all qutrit controlled Clifford+T gates in Clifford+T
Lia Yeh, John van de Wetering
For a number of useful quantum circuits, qudit constructions have been found which reduce resource requirements compared to the best known or best possible qubit construction. Howe…
Qutrit metaplectic gates are a subset of Clifford+T
Andrew Glaudell, Neil J. Ross, John van de Wetering +1
A popular universal gate set for quantum computing with qubits is Clifford+T, as this can be readily implemented on many fault-tolerant architectures. For qutrits, there is an equi…