Project Grant FA95502110002

This federal Project Grant award, funded by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CISE) program (CFDA 47.070), provides $590,886 to Purdue University to conduct research on quantum algorithms and complexity for quantum algebra and topology. The project aims to make progress on two key challenges in the development of quantum computers: fault tolerance and identifying problems where quantum computers can outperform non-quantum computers....

This Project Grant from the National Science Foundation Division of Mathematical Sciences provides $194,902 to Texas A&M University under the Mathematical and Physical Sciences program (CFDA 47.049) to study the quantum symmetries of topological phases of matter. The investigator will classify and distinguish topological phases through their mathematical symmetries, probe their properties, and understand relationships between phases through transitions. Some emphasis will be placed on...

This Project Grant award from the National Science Foundation (CFDA 47.070 - Computer and Information Science and Engineering) provides $180,989 to the University of Wyoming to conduct research on the Complementary-Quantum Correlation (CQC) conjecture. The research aims to: (1) identify sufficient conditions to prove the validity of the CQC conjecture beyond known state classes, (2) extend the conjecture to cover more than two quantum measurement bases, (3) find sufficient conditions for the...

This three-year project grant from the National Science Foundation's Mathematical and Physical Sciences program, totaling $202,998, will support research into metric, computational, and stochastic questions in topology at the University of California, Santa Barbara from September 2022 through August 2025. The grantee aims to investigate phenomena related to the study of global geometric properties preserved under deformation, and apply quantitative homotopy theory to better understand the...

This $283,041 Project Grant from the National Science Foundation's Division of Computing and Communication Foundations, under the Computer and Information Science and Engineering program (CFDA 47.070), will support research into resource theories of quantum channels at Cornell University from January 2023 through February 2024. Specifically, the award will address fundamental questions about how much entanglement is required to prepare quantum states or simulate quantum channels, how much...

This Project Grant award from the National Science Foundation (CFDA 47.049 - Mathematical and Physical Sciences) provides $108,010 to the University of Washington to conduct research on topological phases of matter. The award aims to stimulate innovations in quantum technology by developing a deeper understanding of how electrons behave in these novel materials. The research focuses on two main tracks: investigating topological insulators and studying Weyl semimetals. Key objectives include...

This Project Grant award of $307,887 from the National Science Foundation (NSF) Division of Physics, under the Mathematical and Physical Sciences program (CFDA 47.049), will enable the University of California, Merced to advance the scientific understanding and technological applications of topological quantum matter at finite temperatures. The research project aims to utilize the power of quantum computers to systematically characterize the properties of topological quantum systems at finite...

This National Science Foundation (NSF) Project Grant, awarded under the Mathematical and Physical Sciences program (CFDA 47.049), provides $172,247 to support collaborative research on small quantum groups, their categorifications, and topological applications. The research aims to bridge the gap between 3D topological quantum field theories and our 4D universe, with a focus on developing homological invariants of 3D and 4D manifolds. The project will involve students and postdocs,...

This Project Grant award of $282,000.00 from the National Science Foundation's Division of Materials Research (CFDA 47.049 - Mathematical and Physical Sciences) supports theoretical research and educational activities aimed at understanding topological materials. The key goals are to: Study the hydrodynamics of topological crystalline insulators and their response to defects to identify observable consequences of nontrivial topology beyond the bulk boundary correspondence. Develop...

This federal Project Grant award, funded by the National Science Foundation (NSF) under the Computer and Information Science and Engineering (CFDA 47.070) program, provides $500,000 to the University of Massachusetts (UMass) to conduct research on the design, analysis, and control of quantum networks. The key products and services to be delivered under this 3-year award, which began on September 1, 2024, include: (i) Developing new path selection and link-level entanglement allocation algorithms...