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 is …

We present a smorgasbord of results on the stabiliser ZX-calculus for odd prime-
dimensional qudits (ie qupits). We derive a simplified rule set that closely resembles the …

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 calculus, a …

We introduce a family of ZX-calculi which axiomatise the stabiliser fragment of quantum
theory in odd prime dimensions. These calculi recover many of the nice features of the qubit …

We cast aspects of consciousness in axiomatic mathematical terms, using the graphical
calculus of general process theories (aka symmetric monoidal categories and Frobenius …

This paper is a 'spiritual child'of the 2005 lecture notes Kindergarten Quantum Mechanics
Coecke (2005)[24], which showed how a simple, pictorial extension of Dirac notation …

ZX-calculus has proved to be a useful tool for quantum technology with a wide range of
successful applications. Most of these applications are of an algebraic nature. However …

Quantum calculi and formalisms are useful tools for ensuring security and computational
capabilities in blockchain and cryptography. They aid in designing and analysing new …

We identify a novel qudit gate which we refer to as the gate. This is an alternate
generalization of the qutrit T gate to any odd prime dimension d, in the dth level of the …

Finite-dimensional quantum theory serves as the theoretical foundation for quantum
information and computation based on 2-dimensional qubits, d-dimensional qudits, and their …