Vincent Steffan

ORCID: 0000-0003-4913-6833
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About
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Research Areas
  • Quantum many-body systems
  • Quantum Computing Algorithms and Architecture
  • Quantum Information and Cryptography
  • Tensor decomposition and applications
  • SARS-CoV-2 and COVID-19 Research
  • COVID-19 Clinical Research Studies
  • vaccines and immunoinformatics approaches
  • SARS-CoV-2 detection and testing
  • Coding theory and cryptography
  • Opinion Dynamics and Social Influence
  • Model Reduction and Neural Networks

University of Copenhagen
2020-2024

The first cases of COVID-19 caused by the SARS-CoV-2 virus were reported in China December 2019. disease has since spread globally. Many countries have instated measures to slow virus. Information about a country can inform gradual reopening and help avoid second wave infections. Our study focuses on Denmark, which is opening up when this performed (end-May 2020) after lockdown mid-March.We perform phylogenetic analysis 742 publicly available Danish genome sequences put them into context...

10.1371/journal.pone.0241405 article EN cc-by PLoS ONE 2020-10-29

Abstract Background The COVID-19 pandemic caused by the SARS-CoV-2 virus started in China December 2019 and has since spread globally. Information about of a country can inform gradual reopening help to avoid second wave infections. Denmark is currently opening up after lockdown mid-March. Methods We perform phylogenetic analysis 742 publicly available Danish genome sequences put them into context using from other countries. Result Our findings are consistent with several introductions...

10.1101/2020.05.29.123612 preprint EN cc-by bioRxiv (Cold Spring Harbor Laboratory) 2020-05-29

Tensor networks provide succinct representations of quantum many-body states and are an important computational tool for strongly correlated systems. Their expressive power is characterized by underlying entanglement structure, on a lattice or more generally (hyper)graph, with virtual entangled pairs multipartite associated to (hyper)edges. Changing this structure into another can lead both theoretical benefits. We study natural resource theory which generalizes the notion bond dimension...

10.22331/q-2024-12-11-1560 article EN cc-by Quantum 2024-12-11

In this work, we present number-theoretic and algebraic-geometric techniques for bounding the stabilizer rank of quantum states. First, refine a theorem Moulton to exhibit an explicit sequence product states with exponential but constant approximate rank, provide alternate (and simplified) proofs best-known asymptotic lower bounds on up log factor. Second, find first non-trivial examples multiplicative under tensor product. Third, introduce study generic using techniques.

10.22331/q-2022-04-20-692 article EN cc-by Quantum 2022-04-20

Tensor networks provide succinct representations of quantum many-body states and are an important computational tool for strongly correlated systems. Their expressive power is characterized by underlying entanglement structure, on a lattice or more generally (hyper)graph, with virtual entangled pairs multipartite associated to (hyper)edges. Changing this structure into another can lead both theoretical benefits. We study natural resource theory which generalizes the notion bond dimension...

10.48550/arxiv.2307.07394 preprint EN other-oa arXiv (Cornell University) 2023-01-01

Tensors are often studied by introducing preorders such as restriction and degeneration: the former describes transformations of tensors local linear maps on its tensor factors; latter where may vary along a curve, resulting is expressed limit this curve.In work we introduce study partial degeneration, special version degeneration one constant whereas others curve.Motivated algebraic complexity, quantum entanglement networks, present constructions based matrix multiplication find examples...

10.1137/23m1554898 article EN SIAM Journal on Matrix Analysis and Applications 2024-03-11

10.1007/s00031-024-09863-2 article EN Transformation Groups 2024-07-03

Tensors are often studied by introducing preorders such as restriction and degeneration: the former describes transformations of tensors local linear maps on its tensor factors; latter where may vary along a curve, resulting is expressed limit this curve. In work we introduce study partial degeneration, special version degeneration one constant whereas others Motivated algebraic complexity, quantum entanglement networks, present constructions based matrix multiplication find examples making...

10.48550/arxiv.2212.14095 preprint EN other-oa arXiv (Cornell University) 2022-01-01

The quantum max-flow quantifies the maximal possible entanglement between two regions of a tensor network state for fixed graph and bond dimensions. In this work, we calculate exactly in case bridge graph. result is achieved by drawing connections to theory prehomogenous representation quivers. Further, highlight relations invariant algebraic statistics.

10.48550/arxiv.2212.09794 preprint EN other-oa arXiv (Cornell University) 2022-01-01
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