Quantum information theory | Benjamin Lovitz | Waterloo

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Benjamin Lovitz

Benjamin Lovitz

Publcations and preprints

publications and
preprints

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
To appear in 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

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

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

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

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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