8 papers
Asymptotic evaluation of multidimensional oscillatory integrals
Samuel Crew, Job Feldbrugge
Oscillatory integrals appear throughout physics, from diffraction and gravitational lensing to real-time path integrals. Their asymptotic evaluation is complicated by the need to d…
Fast computational primitives for La-cross qLDPC codes
Andrea Di Fini, Tom Hartweg, Laura Pecorari +2
Quantum LDPC codes promise to reduce the overhead of fault-tolerant quantum computation, but their practical use requires efficient logical gates, measurements, and access to non-C…
Error-detected surgery on Iceberg codes
Andrea Di Fini, Samuel Crew, Laura Pecorari +1
We construct explicit error-detecting surgery gadgets---small systems of auxiliary qubits and checks---for the high-rate Iceberg codes , to perform fault-detected me…
Topological Recursion and Quantum Path Signatures
Inês Aniceto, Thomas Cass, Samuel Crew
We introduce a non-commutative Laplace transform between functionals on path space and formal series in a tensor algebra, under which a natural convolution of path functionals beco…
Resurgence and Hyperasymptotics in Wave Optics Astronomy
Job Feldbrugge, Samuel Crew, Ue-Li Pen
With the discovery of gravitational waves and fast radio bursts, wave optics has become increasingly relevant in astrophysics. This paper studies the behaviour of random gravitatio…
Quantum Path Signatures
Samuel Crew, Cristopher Salvi, William F. Turner +2
We elucidate physical aspects of path signatures by formulating randomised path developments within the framework of matrix models in quantum field theory. Using tools from physics…
An algebraic study of parametric Stokes phenomena
Inês Aniceto, Samuel Crew
We investigate geometric aspects of co-equational parametric resurgence, by studying physical problems whose formal asymptotic solutions give rise to Borel transforms lying on an a…
Exponential Asymptotics using Numerical Rational Approximation in Linear Differential Equations
Christopher J. Lustri, Samuel C. Crew, S. Jonathan Chapman
Singularly-perturbed ordinary differential equations often exhibit Stokes' phenomenon, which describes the appearance and disappearance of oscillating exponentially small terms acr…