14 citations · 29 across the 3 of their papers we have counts for
5 papers
Root-sparsity scaling for Hamiltonian simulation, differential equations and linear-system solvers
Dominic W. Berry, Abhishek Rawat, Sophia Simon +1
We give quantum algorithms for Hamiltonian simulation, linear differential equations, and linear systems with square-root dependence on sparsity. For an -sparse Hermitian matrix…
Quantum Simulation of Dissipative Non-Markovian Coupled Classical Oscillators
Malte Schade, Sophia Simon, Nathan Wiebe +3
We present a quantum algorithm for simulating classical oscillator networks characterized by non-Markovian dissipation and time-varying material properties, extending recent speedu…
Improved precision scaling for simulating coupled quantum-classical dynamics
Sophia Simon, Raffaele Santagati, Matthias Degroote +3
We present a super-polynomial improvement in the precision scaling of quantum simulations for coupled classical-quantum systems in this paper. Such systems are found, for example,…
Ultrasound detection of emergent photons in generic quantum spin ice
Sophia Simon, Adarsh S. Patri, Yong Baek Kim
Experimental identification of quantum spin ice (QSI), a U(1) quantum spin liquid on the pyrochlore lattice hosting emergent photons, is a major challenge in frustrated magnets. In…
Higher-order topological semimetals and nodal superconductors with an order-two crystalline symmetry
Sophia Simon, Max Geier, Piet W. Brouwer
Using a systematic relation between topological gapless phases in three dimensions and topological gapped phases in two dimensions, we identify four types of higher-order topologic…