14:00
Solving sparse linear systems using quantum computing algorithms
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.
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.
15:30
Equivariant Floer theory for symplectic C*-manifolds
Abstract
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.