42 citations · 140 across the 19 of their papers we have counts for
21 papers
All this for one qubit? Bounds on local circuit cutting schemes
Simon C. Marshall, Jordi Tura, Vedran Dunjko
Small numbers of qubits are one of the primary constraints on the near-term deployment of advantageous quantum computing. To mitigate this constraint, techniques have been develope…
High Dimensional Quantum Machine Learning With Small Quantum Computers
Simon C. Marshall, Casper Gyurik, Vedran Dunjko
Quantum computers hold great promise to enhance machine learning, but their current qubit counts restrict the realisation of this promise. In an attempt to placate this limitation…
Bounds for the number of cohomological automorphic representations of in the weight aspect
Simon Marshall
We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on , by adapt…
Asymptotic trace formula for the Hecke operators
Junehyuk Jung, Simon Marshall, Naser T. Sardari
Given integers , and , we give an explicit formula with an optimal error term (with square root cancelation) for the Petersson trace formula involving the -th and -…
Endoscopy and cohomology of U(n,1)
Simon Marshall, Sug Woo Shin
By assuming the endoscopic classification of automorphic representations on inner forms of unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White,…
On the number of harmonic frames
Simon Marshall, Shayne Waldron
There is a finite number of tight frames of distinct vectors for which are the orbit of a vector under a unitary action of the cyclic group $\mathbb{Z}…