These are exciting times for quantum physics as new quantum technologies are expected to
soon transform computing at an unprecedented level. Simultaneously network science is …

The ZX-calculus is a graphical language for reasoning about quantum computation that has
recently seen an increased usage in a variety of areas such as quantum circuit optimisation …

We present a method for reducing the number of non-Clifford quantum gates, in particularly
T-gates, in a circuit, an important task for efficiently implementing fault-tolerant quantum …

In this paper, we propose a general scheme to analyze the gradient vanishing phenomenon,
also known as the barren plateau phenomenon, in training quantum neural networks with …

We introduce the LOv-calculus, a graphical language for reasoning about linear optical
quantum circuits with so-called vacuum state auxiliary inputs. We present the axiomatics of …

A reconstruction of quantum theory refers to both a mathematical and a conceptual
paradigm that allows one to derive the usual formulation of quantum theory from a set of …

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 …

Quantum state preparation is a key step in all digital quantum simulation algorithms. Here
we propose methods to initialize on a gate-based quantum computer a general class of …

In this paper, we demonstrate a direct correspondence between phase-free ZX diagrams, a
graphical notation for representing and manipulating a certain class of linear maps on …