6 papers · 1 filter
Exact Synthesis of Multiqutrit Clifford-Cyclotomic Circuits
Andrew N. Glaudell, Neil J. Ross, John van de Wetering +1
It is known that the matrices that can be exactly represented by a multiqubit circuit over the Toffoli+Hadamard, Clifford+, or, more generally, Clifford-cyclotomic gate set are…
Catalysing Completeness and Universality
Aleks Kissinger, Neil J. Ross, John van de Wetering
A catalysis state is a quantum state that is used to make some desired operation possible or more efficient, while not being consumed in the process. Recent years have seen catalys…
Scalable Spider Nests (...Or How to Graphically Grok Transversal Non-Clifford Gates)
Aleks Kissinger, John van de Wetering
This is the second in a series of "graphical grokking" papers in which we study how stabiliser codes can be understood using the ZX-calculus. In this paper we show that certain com…
Optimal compilation of parametrised quantum circuits
John van de Wetering, Richie Yeung, Tuomas Laakkonen +1
Parametrised quantum circuits contain phase gates whose phase is determined by a classical algorithm prior to running the circuit on a quantum device. Such circuits are used in var…
Optimising quantum circuits is generally hard
John van de Wetering, Matt Amy
In order for quantum computations to be done as efficiently as possible it is important to optimise the number of gates used in the underlying quantum circuits. In this paper we fi…
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…