1 citations · 3 across the 8 of their papers we have counts for
8 papers
Using Tanner Spectral Reduction to Improve Multi-Layer Optical Lattice Routing for Hypergraph-Product and Bivariate Bicycle qLDPC Codes
Joshua M. Courtney
We characterize the Tanner graph spectrum of hypergraph-product (HGP) / lifted-product (LP) codes and bivariate-bicycle (BB) codes, informing qubit routing for three-dimensional re…
Quantum Algorithm for Open-System Battery Cathodes by Modeling Multiple Strongly Coupled Holstein Polarons with Chain-Mapped Caldeira-Leggett Dynamics
Joshua M. Courtney
Cathode lithiation occupies a chemical regime of tightly localized orbitals, narrow bandwidths, and strong electron-lattice coupling. The defining electrochemical observables (open…
Block Permutation Routing on Ramanujan Hypergraphs for Fault-Tolerant Quantum Computing
Joshua M. Courtney
We analyze permutation routing of rigid blocks representing surface code patches of atoms on a reconfigurable lattice with hypergraph transformations. For a hypergraph ,…
Permutation Routing on Ramanujan Hypergraphs with Applications to Neutral Atom Quantum Architectures
Joshua M. Courtney
We consider the routing of neutral atoms on a reconfigurable lattice in terms of hypergraph transformations. We prove the routing number of a Ramanujan -regular hypergraph o…
Optimal Bounds, Barriers, and Extensions for Non-Hermitian Bivariate Quantum Signal Processing
Joshua M. Courtney
Multivariate quantum signal processing (M-QSP) has recently been shown to be applicable for non-Hermitian Hamiltonian simulation, opening several problems regarding the optimizatio…
Variationally Compressing Quantum Circuits to Approximate Nonadiabatic Molecular Quantum Dynamics
Joshua M. Courtney, P. C. Stancil
Quantum simulation has begun to penetrate the field of quantum chemistry in hopes of efficiently calculating ground state energies and approximating real-time evolution. With moder…
Simulation of Non-Hermitian Hamiltonians with Bivariate Quantum Signal Processing
Joshua M. Courtney
We achieve query-optimal quantum simulations of non-Hermitian Hamiltonians , where is Hermitian and , using a bivariate extensio…
An Oracle-Free Quantum Algorithm for Nonadiabatic Quantum Molecular Dynamics
Joshua Courtney
Quantum computation is an attractive front for many problems that are intractable for computers today. One such problem is nonadiabatic quantum molecular dynamics, where quantized…