28 citations · 40 across the 3 of their papers we have counts for
8 papers
Approximate Solutions of Combinatorial Problems via Quantum Relaxations
Bryce Fuller, Charles Hadfield, Jennifer R. Glick +8
Combinatorial problems are formulated to find optimal designs within a fixed set of constraints. They are commonly found across diverse engineering and scientific domains. Understa…
Adaptive Pauli Shadows for Energy Estimation
Charles Hadfield
Locally-biased classical shadows allow rapid estimation of energies of quantum Hamiltonians. Recently, derandomised classical shadows have emerged claiming to be even more accurate…
Measurements of Quantum Hamiltonians with Locally-Biased Classical Shadows
Charles Hadfield, Sergey Bravyi, Rudy Raymond +1
Obtaining precise estimates of quantum observables is a crucial step of variational quantum algorithms. We consider the problem of estimating expectation values of molecular Hamilt…
Spectral theory of the frame flow on hyperbolic 3-manifolds (with an appendix by Charles Hadfield)
Colin Guillarmou, Charles Hadfield, Benjamin Küster
We study the spectral theory and the resolvent of the vector field generating the frame flow of closed hyperbolic 3-dimensional manifolds on some family of anisotropic Sobolev spac…
Ruelle zeta function from field theory
Charles Hadfield, Santosh Kandel, Michele Schiavina
We propose a field-theoretic interpretation of Ruelle zeta function, and show how it can be seen as the partition function for theory when an unusual gauge fixing condition on…
Zeta Function at Zero for Surfaces with Boundary
Charles Hadfield
We study the Ruelle zeta function at zero for negatively curved oriented surfaces with boundary. At zero, the zeta function has a zero and its multiplicity is shown to be determine…