Logical blocks for fault-tolerant topological quantum computation

H Bombin, C Dawson, RV Mishmash, N Nickerson… - PRX Quantum, 2023 - APS
Logical gates constitute the building blocks of fault-tolerant quantum computation. While
quantum error-corrected memories have been extensively studied in the literature, explicit …

Resource theory of quantum scrambling

RJ Garcia, K Bu, A Jaffe - Proceedings of the National …, 2023 - National Acad Sciences
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 …

Quantum entropy and central limit theorem

K Bu, W Gu, A Jaffe - … of the National Academy of Sciences, 2023 - National Acad Sciences
We introduce a framework to study discrete-variable (DV) quantum systems based on qudits.
It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), and a …

Quantum scrambling with classical shadows

RJ Garcia, Y Zhou, A Jaffe - Physical Review Research, 2021 - APS
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 …

Modular decoding: parallelizable real-time decoding for quantum computers

H Bombín, C Dawson, YH Liu, N Nickerson… - arXiv preprint arXiv …, 2023 - arxiv.org
Universal fault-tolerant quantum computation will require real-time decoding algorithms
capable of quickly extracting logical outcomes from the stream of data generated by noisy …

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 …

Quantum fourier analysis

A Jaffe, C Jiang, Z Liu, Y Ren… - Proceedings of the …, 2020 - National Acad Sciences
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 …

Holographic software for quantum networks

A Jaffe, Z Liu, A Wozniakowski - Science China Mathematics, 2018 - Springer
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 …

Qubit Recycling Revisited

H Jiang - Proceedings of the ACM on Programming Languages, 2024 - dl.acm.org
Reducing the width of quantum circuits is crucial due to limited number of qubits in quantum
devices. This paper revisit an optimization strategy known as qubit recycling (alternatively …

[PDF][PDF] The new language of mathematics

DS Silver - American Scientist, 2017 - researchgate.net
Even those mathematicians who would agree with Einstein recognize the severe limitation
on thought imposed by the use of images alone. In 1983 the New Zealander and American …