output
20042022
most citedIAS15: A fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits

723 citations

153 papers

math.PR2022

Eigenvectors of the square grid plus GUE

András Mészáros, Bálint Virág

Eigenvectors of the GUE-perturbed discrete torus with uniform boundary conditions retain some product structure for small perturbations but converge to discrete Gaussian waves for…

quant-ph2022★ 16 cited

Assessment of various Hamiltonian partitionings for the electronic structure problem on a quantum computer using the Trotter approximation

Luis A. Martínez-Martínez, Tzu-Ching Yen, Artur F. Izmaylov

Solving the electronic structure problem via unitary evolution of the electronic Hamiltonian is one of the promising applications of digital quantum computers. One of the practical…

quant-ph2022★ 35 cited

Fluid fermionic fragments for optimizing quantum measurements of electronic Hamiltonians in the variational quantum eigensolver

Seonghoon Choi, Ignacio Loaiza, Artur F. Izmaylov

Measuring the expectation value of the molecular electronic Hamiltonian is one of the challenging parts of the variational quantum eigensolver. A widely used strategy is to express…

quant-ph2022★ 46 cited

Reducing molecular electronic Hamiltonian simulation cost for Linear Combination of Unitaries approaches

Ignacio Loaiza, Alireza Marefat Khah, Nathan Wiebe +1

We consider different Linear Combination of Unitaries (LCU) decompositions for molecular electronic structure Hamiltonians. Using these LCU decompositions for Hamiltonian simulatio…

quant-ph2022★ 33 cited

Improving quantum measurements by introducing "ghost" Pauli products

Seonghoon Choi, Tzu-Ching Yen, Artur F. Izmaylov

Reducing the number of measurements required to estimate the expectation value of an observable is crucial for the variational quantum eigensolver to become competitive with state-…

math.AT2022★ 4 cited

Stability of concordance embeddings

Thomas Goodwillie, Manuel Krannich, Alexander Kupers

We prove a stability theorem for spaces of smooth concordance embeddings. From it we derive various applications to spaces of concordance diffeomorphisms and homeomorphisms.

cond-mat.mtrl-sci2022★ 324 cited

The Open Catalyst 2022 (OC22) Dataset and Challenges for Oxide Electrocatalysts

Richard Tran, Janice Lan, Muhammed Shuaibi +14

The development of machine learning models for electrocatalysts requires a broad set of training data to enable their use across a wide variety of materials. One class of materials…

physics.chem-ph2022★ 3 cited

Controlling energy conservation in quantum dynamics with independently moving basis functions: Application to Multi-Configuration Ehrenfest

Mina Asaad, Loïc Joubert-Doriol, Artur F. Izmaylov

Application of the time-dependent variational principle to a linear combination of frozen-width Gaussians describing the nuclear wavefunction provides a formalism where the total e…

astro-ph.EP2021★ 7 cited

Semi-Transparent Shear Turbulence in Hot Jupiter Atmospheres

Kristen Menou

Turbulent transport driven by secular shear instabilities can lead to enhanced vertical mixing in hot Jupiter atmospheres, impacting their cloudiness, chemistry and overall vertica…

astro-ph.EP2021★ 2 cited

Neptune's ring arcs from VLT/SPHERE-IRDIS near-infrared observations

D. Souami, S. Renner, B. Sicardy +4

Neptune's incomplete ring arcs have been stable since their discovery in 1984 by stellar occultation. Although these structures should be destroyed within a few months through diff…

astro-ph.EP2021

Climate uncertainties caused by unknown land distribution on habitable M-Earths

Evelyn Macdonald, Adiv Paradise, Kristen Menou +1

A planet's surface conditions can significantly impact its climate and habitability. In this study, we use the 3D general circulation model ExoPlaSim to systematically vary dayside…

quant-ph2021★ 234 cited

A Quantum Computing View on Unitary Coupled Cluster Theory

Abhinav Anand, Philipp Schleich, Sumner Alperin-Lea +7

We present a review of the Unitary Coupled Cluster (UCC) ansatz and related ansätze which are used to variationally solve the electronic structure problem on quantum computers. A b…

quant-ph2021★ 53 cited

Analytic gradients in variational quantum algorithms: Algebraic extensions of the parameter-shift rule to general unitary transformations

Artur F. Izmaylov, Robert A. Lang, Tzu-Ching Yen

Optimization of unitary transformations in Variational Quantum Algorithms benefits highly from efficient evaluation of cost function gradients with respect to amplitudes of unitary…

astro-ph.EP2021★ 26 cited

ExoPlaSim: Extending the Planet Simulator for Exoplanets

Adiv Paradise, Evelyn Macdonald, Kristen Menou +2

The discovery of a large number of terrestrial exoplanets in the habitable zones of their stars, many of which are qualitatively different from Earth, has led to a growing need for…

astro-ph.EP2021★ 3 cited

Fundamental Challenges to Remote Sensing of Exo-Earths

Adiv Paradise, Kristen Menou, Christopher Lee +1

Inferring the climate and surface conditions of terrestrial exoplanets in the habitable zone is a major goal for the field of exoplanet science. This pursuit will require both stat…

math.GT2021

Subspace stabilisers in hyperbolic lattices

Mikhail Belolipetsky, Nikolay Bogachev, Alexander Kolpakov +1

This paper shows that immersed totally geodesic -dimensional suborbifolds of -dimensional arithmetic hyperbolic orbifolds correspond to finite subgroups of the commensurator…

astro-ph.EP2021★ 12 cited

The rarity of very red TNOs in the scattered disk

Mohamad Ali-Dib, Michael Marsset, Wing-Cheung Wong +1

We investigate the origins of the photometrically Very Red and Less Red Trans-Neptunian Objects. We first reanalyse the dataset of Marsset et al. 2019 and find that, in addition to…

astro-ph.EP2020★ 3 cited

Constraining protoplanetary disks with exoplanetary dynamics: Kepler-419 as an example

Mohamad Ali-Dib, Cristobal Petrovich

We investigate the origins of Kepler-419, a peculiar system hosting two nearly coplanar and highly eccentric gas giants with apsidal orientations librating around anti-alignment, a…

quant-ph2020★ 8 cited

How to define quantum mean-field solvable Hamiltonians using Lie algebras

Artur F. Izmaylov, Tzu-Ching Yen

Necessary and sufficient conditions for quantum Hamiltonians to be exactly solvable within mean-field theories have not been formulated so far. To resolve this problem, first, we d…

math.AT2020★ 6 cited

An -bundle over with nontrivial -genus

Manuel Krannich, Alexander Kupers, Oscar Randal-Williams

We explain the existence of a smooth -bundle over whose total space has nontrivial -genus. Combined with an argument going back to Hitchin, this answers a ques…

quant-ph2020★ 67 cited

Cartan sub-algebra approach to efficient measurements of quantum observables

Tzu-Ching Yen, Artur F. Izmaylov

An arbitrary operator corresponding to a physical observable cannot be measured in a single measurement on currently available quantum hardware. To obtain the expectation value of…

cs.CY2020★ 1 cited

Ethical Analysis on the Application of Neurotechnology for Human Augmentation in Physicians and Surgeons

Soaad Hossain, Syed Ishtiaque Ahmed

With the shortage of physicians and surgeons and increase in demand worldwide due to situations such as the COVID-19 pandemic, there is a growing interest in finding solutions to h…

math.AT2020★ 4 cited

On the generalized Bykovskii presentation of Steinberg modules

Alexander Kupers, Jeremy Miller, Peter Patzt +1

We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of…

math.AT2020

Some Hermitian K-groups via geometric topology

Manuel Krannich, Alexander Kupers

We compute the first two symplectic quadratic K-theory groups of the integers, or equivalently, the first two stable homology groups of the group of symplectic integral matrices pr…