We construct a primitive gate set for the digital quantum simulation of the binary tetrahedral
(BT) group on two quantum architectures. This non-Abelian discrete group serves as a crude …

We introduce the qudit ZH-calculus and show how to generalise the phase-free qubit rules
to qudits. We prove that for prime dimensions $ d $, the phase-free qudit ZH-calculus is …

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 …

In this paper we study single qutrit quantum circuits consisting of words over the Clifford+
$\mathcal {D} $ gate set, where $\mathcal {D} $ consists of cyclotomic gates of the form $\text …

It is known that the matrices that can be exactly represented by a multiqubit circuit over the
Toffoli+ Hadamard, Clifford+ $ T $, or, more generally, Clifford-cyclotomic gate set are …

We present an exact synthesis algorithm for qutrit unitaries in $\mathcal {U} _ {3^ n}(\mathbb
{Z}[1/3, e^{2\pi i/3}]) $ over the Clifford $+ T $ gate set with at most one ancilla. This extends …

In the phase space formulation of quantum mechanics, the Wigner function plays an
instrumental role. Unlike the joint probability distribution in classical theory, the Wigner …

In the stabilizer formalism of fault-tolerant quantum computation, stabilizer states serve as
classical objects, while magic states (non-stabilizer states) are a kind of quantum resource …

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 …

As an application of these results we find a construction for emulating arbitrary qubit
diagonal unitaries, and specifically find an ancilla-free emulation for the qubit CCZ gate that …