867 citations
- Forschungszentrum JülichDE10 papers
- Oak Ridge National LaboratoryUS8 papers
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- University of KentuckyUS5 papers
- Pohang University of Science and TechnologyKR4 papers
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- George Washington UniversityUS3 papers
- Institut FourierFR3 papers
- Royal Observatory of BelgiumBE3 papers
- Swiss Federal Institute for Forest, Snow and Landscape ResearchCH3 papers
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14 papers · 1 filter
Surface code with decoherence: An analysis of three superconducting architectures
Joydip Ghosh, Austin G. Fowler, Michael R. Geller
We consider realistic, multi-parameter error models and investigate the performance of the surface code for three possible fault-tolerant superconducting quantum computer architect…
Uniform convergence rates for nonparametric regression and principal component analysis in functional/longitudinal data
Yehua Li, Tailen Hsing
We consider nonparametric estimation of the mean and covariance functions for functional/longitudinal data. Strong uniform convergence rates are developed for estimators that are l…
Simulating the Transverse Ising Model on a Quantum Computer: Error Correction with the Surface Code
Hao You, Michael R. Geller, P. C. Stancil
We estimate the resource requirements for the quantum simulation of the ground state energy of the one dimensional quantum transverse Ising model (TIM), based on the surface code i…
The Instructor's Guide to Real Induction
Pete L. Clark
We introduce real induction, a proof technique analogous to mathematical induction but applicable to statements indexed by an interval on the real line. More generally we give an i…
On the Log Discrepancies in Toric Mori Contractions
Valery Alexeev, Alexander Borisov
It was conjectured by McKernan and Shokurov that for all Mori contractions from X to Y of given dimensions, for any positive epsilon there is a positive delta, such that if X is ep…
Advanced multicanonical Monte Carlo methods for efficient simulations of nucleation processes of polymers
Stefan Schnabel, Michael Bachmann, Wolfhard Janke
The investigation of freezing transitions of single polymers is computationally demanding, since surface effects dominate the nucleation process. In recent studies we have systemat…