Thu, 05 Jun 2025
14:00
Lecture Room 3

Solving sparse linear systems using quantum computing algorithms

Leigh Lapworth
(Rolls-Royce)
Abstract

The currently available quantum computers fall into the NISQ (Noisy Intermediate Scale Quantum) regime. These enable variational algorithms with a relatively small number of free parameters. We are now entering the FTQC (Fault Tolerant Quantum Computer)  regime where gate fidelities are high enough that error-correction schemes are effective. The UK Quantum Missions include the target for a FTQC device that can perform a million operations by 2028, and a trillion operations by 2035.

 

This talk will present the outcomes from assessments of  two quantum linear equation solvers for FTQCs– the Harrow–Hassidim–Lloyd (HHL) and the Quantum Singular Value Transform (QSVT) algorithms. These have used sample matrices from a Computational Fluid Dynamics (CFD) testcase. The quantum solvers have also been embedded with an outer non-linear solver to judge their impact on convergence. The analysis uses circuit emulation and is used to judge the FTQC requirements to deliver quantum utility.

Oxford Mathematics Public Lecture: Can we truly understand by counting? - Hugo Duminil-Copin

Wednesday, January 29, 5pm, L1

Hugo will illustrate how counting can shed light on the behaviour of complex physical systems, while simultaneously revealing the need to sometimes go beyond what numbers tell us in order to unveil all the mysteries of the world around us.

Hugo Duminil-Copin is a French mathematician recognised for his groundbreaking work in probability theory and mathematical physics. In 2022 he was awarded the Fields Medal.

Meet Jim Naismith

'Meet the Head of Division’ informal coffee chat.

Professor James Naismith, Head of our MPLS Division, will be joining our coffee morning in the AWB Common Room on Thursday 23 January from 11 am. 

Please do join Jim for coffee if you can.

Lucky Jim.

Tue, 11 Feb 2025
15:30
L4

Equivariant Floer theory for symplectic C*-manifolds

Alexander Ritter
(Oxford)
Abstract
The talk will be on recent progress in a series of joint papers with Filip Živanović, about a large class of non-compact symplectic manifolds, which includes semiprojective toric varieties, quiver varieties, and conical symplectic resolutions of singularities. These manifolds admit a Hamiltonian circle action which is part of a pseudo-holomorphic action of a complex torus. The symplectic form on these spaces is highly non-exact, yet we can make sense of Hamiltonian Floer cohomology for functions of the moment map of the circle action. We showed that Floer theory induces a filtration by ideals on quantum cohomology. I will explain recent progress on equivariant Floer cohomology for these spaces, in which case we obtain a filtration on equivariant quantum cohomology. If time permits, I will also mention a presentation of symplectic cohomology and quantum cohomology for semiprojective toric varities.

Official launch of the EDI Hub+

Join us online on 21st January at 1 pm for the official launch of the EDI Hub+

The mission of our EDI Hub+ is to drive systemic change, to deliver an Engineering, Physical and Mathematical Sciences (EPMS) research and innovation system that is equitable and inclusive for everyone – irrespective of gender, sexual orientation, race, ethnicity, disability, or socio-economic status.

Cafe π specials

Veganuary special: switch to plant-based milk in our cafes at no extra charge. Available all day, every day throughout January.

January saver deal: add a drink for only £1.50 when you purchase a hot meal, jacket potato, or salad bar at any Beyond Ordinary Food outlet.

Long-run dynamics of the U.S. patent classification system
 Lafond, F Kim, D (27 Feb 2017)
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