4 papers
A simplified version of the quantum OTOC problem
Robbie King, Robin Kothari, Ryan Babbush +4
This note presents a simplified version of the OTOC problem that was recently experimentally implemented by Google Quantum AI and collaborators. We present a formulation of…
Constructive interference at the edge of quantum ergodic dynamics
Dmitry A. Abanin, Rajeev Acharya, Laleh Aghababaie-Beni +262
Quantum observables in the form of few-point correlators are the key to characterizing the dynamics of quantum many-body systems. In dynamics with fast entanglement generation, qua…
Quartic quantum speedups for planted inference
Alexander Schmidhuber, Ryan O'Donnell, Robin Kothari +1
We describe a quantum algorithm for the Planted Noisy XOR problem (also known as sparse Learning Parity with Noise) that achieves a nearly quartic (th power) speedup over the…
Shadow Hamiltonian Simulation
Rolando D. Somma, Robbie King, Robin Kothari +2
Simulating quantum dynamics is one of the most important applications of quantum computers. Traditional approaches for quantum simulation involve preparing the full evolved state o…