Lectures on quantum tensor networks
J Biamonte - arXiv preprint arXiv:1912.10049, 2019 - arxiv.org
Situated as a language between computer science, quantum physics and mathematics,
tensor network theory has steadily grown in popularity and can now be found in applications …
tensor network theory has steadily grown in popularity and can now be found in applications …
Quantum fourier analysis
Quantum Fourier analysis is a subject that combines an algebraic Fourier transform (pictorial
in the case of subfactor theory) with analytic estimates. This provides interesting tools to …
in the case of subfactor theory) with analytic estimates. This provides interesting tools to …
Holographic software for quantum networks
We introduce a pictorial approach to quantum information, called holographic software. Our
software captures both algebraic and topological aspects of quantum networks. It yields a bi …
software captures both algebraic and topological aspects of quantum networks. It yields a bi …
Information processing by structural machines
M Burgin - Theoretical Information Studies: Information in the …, 2020 - World Scientific
In this chapter, we explore information processing by the model of computation called
structural machine. Structures contain information as matter contains energy and structural …
structural machine. Structures contain information as matter contains energy and structural …
Triangular prism equations and categorification
We introduce the triangular prism equations for fusion categories, which turn out to be
equivalent to the pentagon equations in the spherical case (up to a change of basis), but …
equivalent to the pentagon equations in the spherical case (up to a change of basis), but …
Quon language: surface algebras and Fourier duality
Z Liu - Communications in Mathematical Physics, 2019 - Springer
Quon language is a 3D picture language that we can apply to simulate mathematical
concepts. We introduce the surface algebras as an extension of the notion of planar …
concepts. We introduce the surface algebras as an extension of the notion of planar …
A graphical calculus for quantum computing with multiple qudits using generalized Clifford algebras
R Lin - arXiv preprint arXiv:2103.16081, 2021 - arxiv.org
In this work, we develop a graphical calculus for multi-qudit computations with generalized
Clifford algebras, using the algebraic framework developed in a previous work. We build our …
Clifford algebras, using the algebraic framework developed in a previous work. We build our …
Finding and building algebraic structures in finite-dimensional Hilbert spaces for quantum computation and quantum information
RH Lin - 2023 - search.proquest.com
Untitled Page 1 Page 2 Page 3 Finding and building algebraic structures in finite-dimensional
Hilbert spaces for quantum computation and quantum information A DISSERTATION …
Hilbert spaces for quantum computation and quantum information A DISSERTATION …
Quantized graphs and quantum error correction
Z Liu - arXiv preprint arXiv:1910.12065, 2019 - arxiv.org
Graph theory is important in information theory. We introduce a quantization process on
graphs and apply the quantized graphs in quantum information. The quon language …
graphs and apply the quantized graphs in quantum information. The quon language …