Resource theory of quantum scrambling
Quantum chaos has become a cornerstone of physics through its many applications. One
trademark of quantum chaotic systems is the spread of local quantum information, which …
trademark of quantum chaotic systems is the spread of local quantum information, which …
Quantum scrambling with classical shadows
Quantum dynamics is of fundamental interest and has implications in quantum information
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …
processing. The four-point out-of-time-ordered correlator (OTOC) is traditionally used to …
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 …
Biunitary constructions in quantum information
DJ Reutter, J Vicary - arXiv preprint arXiv:1609.07775, 2016 - arxiv.org
We present an infinite number of construction schemes involving unitary error bases,
Hadamard matrices, quantum Latin squares and controlled families, many of which have not …
Hadamard matrices, quantum Latin squares and controlled families, many of which have not …
Planar para algebras, reflection positivity
We define a planar para algebra, which arises naturally from combining planar algebras
with the idea of Z _ N ZN para symmetry in physics. A subfactor planar para algebra is a …
with the idea of Z _ N ZN para symmetry in physics. A subfactor planar para algebra is a …
Quon 3D language for quantum information
We present a 3D topological picture-language for quantum information. Our approach
combines charged excitations carried by strings, with topological properties that arise from …
combines charged excitations carried by strings, with topological properties that arise from …
Data structures for quasistrict higher categories
K Bar, J Vicary - 2017 32nd Annual ACM/IEEE Symposium on …, 2017 - ieeexplore.ieee.org
We present new data structures for quasistrict higher categories, in which associativity and
unit laws hold strictly. Our approach has low axiomatic complexity compared to traditional …
unit laws hold strictly. Our approach has low axiomatic complexity compared to traditional …
Zigzag normalisation for associative n-categories
The theory of associative n-categories has recently been proposed as a strictly associative
and unital approach to higher category theory. As a foundation for a proof assistant, this is …
and unital approach to higher category theory. As a foundation for a proof assistant, this is …
[PDF][PDF] Towards a minimal stabilizer ZX-calculus
The stabilizer zx-calculus is a rigorous graphical language for reasoning about quantum
mechanics. The language is sound and complete: one can transform a stabilizer zx-diagram …
mechanics. The language is sound and complete: one can transform a stabilizer zx-diagram …