170 citations · 288 across the 12 of their papers we have counts for
14 papers
Practical Benchmarking of Randomized Measurement Methods for Quantum Chemistry Hamiltonians
Arkopal Dutt, William Kirby, Rudy Raymond +4
Many hybrid quantum-classical algorithms for the application of ground state energy estimation in quantum chemistry involve estimating the expectation value of a molecular Hamilton…
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…
Second-quantized fermionic operators with polylogarithmic qubit and gate complexity
William Kirby, Bryce Fuller, Charles Hadfield +1
We present a method for encoding second-quantized fermionic systems in qubits when the number of fermions is conserved, as in the electronic structure problem. When the number …
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…
Decision Diagrams for Quantum Measurements with Shallow Circuits
Stefan Hillmich, Charles Hadfield, Rudy Raymond +2
We consider the problem of estimating quantum observables on a collection of qubits, given as a linear combination of Pauli operators, with shallow quantum circuits consisting of s…
Doubling the size of quantum simulators by entanglement forging
Andrew Eddins, Mario Motta, Tanvi P. Gujarati +4
Quantum computers are promising for simulations of chemical and physical systems, but the limited capabilities of today's quantum processors permit only small, and often approximat…
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…
Ruelle and Quantum Resonances for Open Hyperbolic Manifolds
Charles Hadfield
We establish a direct classical-quantum correspondence on convex cocompact hyperbolic manifolds between the spectrums of the geodesic flow and the Laplacian acting on natural tenso…
Local Geometry of Even Clifford Structures on Conformal Manifolds
Charles Hadfield, Andrei Moroianu
We introduce the concept of a Clifford-Weyl structure on a conformal manifold, which consists of an even Clifford structure parallel with respect to the tensor product of a metric…
Resonances for Symmetric Tensors on Asymptotically Hyperbolic Spaces
Charles Hadfield
On manifolds with an even Riemannian conformally compact Einstein metric, the resolvent of the Lichnerowicz Laplacian, acting on trace-free, divergence-free, symmetric 2-tensors is…
Twistor Spaces of Riemannian Manifolds with Even Clifford Structures
Gerardo Arizmendi, Charles Hadfield
In this paper we introduce the twistor space of a Riemannian manifold with an even Clifford structure. This notion generalizes the twistor space of quaternion-Hermitian manifolds a…