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Benjamin Lovitz

Publcations and preprints
publications and
preprints
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Nearly tight bounds for testing tree tensor network states
Benjamin Lovitz and Angus Lowe

QIP 2025

X-arability of mixed quantum states
Harm Derksen, Nathaniel Johnston, and Benjamin Lovitz

arXiv preprint, 2024

Linear preservers of secant varieties and other varieties of tensors
Fulvio Gesmundo, Young In Han, and Benjamin Lovitz
arXiv preprint, 2024

A hierarchy of eigencomputations for polynomial optimization on the sphere
Benjamin Lovitz and Nathaniel Johnston
arXiv preprint, 2023

A generalization of Kruskal's theorem on tensor decomposition

Benjamin Lovitz and Fedor Petrov
Forum of Mathematics, Sigma, 2023

Computing linear sections of varieties: quantum entanglement, tensor decompositions and beyond
Nathaniel Johnston, Benjamin Lovitz, and Aravindan Vijayaraghavan

IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS), 2023

A complete hierarchy of linear systems for certifying quantum entanglement of subspaces
Nathaniel Johnston, Benjamin Lovitz, and Aravindan Vijayaraghavan
Physical Review A, 2022  and  QIP 2023

Entangled subspaces and generic local state discrimination with pre-shared entanglement
Benjamin Lovitz and Nathaniel Johnston
Quantum, 2022

New techniques for bounding stabilizer rank

Benjamin Lovitz and Vincent Steffan
Quantum, 2022   and   QIP 2022

Toward a generalization of Kruskal's theorem on tensor decomposition
Benjamin Lovitz
arXiv preprint, 2020

The non-m-positive dimension of a positive linear map
Nathaniel Johnston, Benjamin Lovitz, and Daniel Puzzuoli
Quantum, 2019

On decomposable correlation matrices

Benjamin Lovitz
Linear and Multilinear Algebra, 2019

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Families of quantum fingerprinting protocols

Benjamin Lovitz and Norbert Lütkenhaus

Physical Review A, 2018

Practical quantum appointment scheduling

Dave Touchette, Benjamin Lovitz, and Norbert Lütkenhaus

Physical Review A, 2018

Perfect state transfer in Laplacian quantum walk

Rachael Alvir, Sophia Dever, Benjamin Lovitz, James Myer, Christino Tamon, Yan Xu, and Hanmeng Zhan

Journal of Algebraic Combinatorics, 2016

Theses
theses
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Tensors: Entanglement, Geometry, and Combinatorics

Benjamin Lovitz

Phd thesis. University of Waterloo, 2022

Practical quantum fingerprinting and appointment scheduling

Benjamin Lovitz

MSc thesis. University of Waterloo, 2017

Optical frequency doubling

Benjamin Lovitz

Honours B.A. thesis. Bates College, 2015

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