4.7k citations · 16.5k across the 115 of their papers we have counts for
120 papers
Hamiltonian Learning via Shadow Tomography of Pseudo-Choi States
Juan Castaneda, Nathan Wiebe
We introduce a new approach to learn Hamiltonians through a resource that we call the pseudo-Choi state, which encodes the Hamiltonian in a state using a procedure that is analogou…
Generalized Quantum Signal Processing
Danial Motlagh, Nathan Wiebe
Quantum Signal Processing (QSP) and Quantum Singular Value Transformation (QSVT) currently stand as the most efficient techniques for implementing functions of block encoded matric…
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,…
Composite QDrift-Product Formulas for Quantum and Classical Simulations in Real and Imaginary Time
Matthew Pocrnic, Matthew Hagan, Juan Carrasquilla +2
Recent work has shown that it can be advantageous to implement a composite channel that partitions the Hamiltonian for a given simulation problem into subsets and such…
Fast quantum algorithm for differential equations
Mohsen Bagherimehrab, Kouhei Nakaji, Nathan Wiebe +3
Partial differential equations (PDEs) are ubiquitous in science and engineering. Prior quantum algorithms for solving the system of linear algebraic equations obtained from discret…
Quantum Simulation of the First-Quantized Pauli-Fierz Hamiltonian
Priyanka Mukhopadhyay, Torin F. Stetina, Nathan Wiebe
We provide an explicit recursive divide and conquer approach for simulating quantum dynamics and derive a discrete first quantized non-relativistic QED Hamiltonian based on the man…