Logical blocks for fault-tolerant topological quantum computation
Logical gates constitute the building blocks of fault-tolerant quantum computation. While
quantum error-corrected memories have been extensively studied in the literature, explicit …
quantum error-corrected memories have been extensively studied in the literature, explicit …
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 entropy and central limit theorem
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 …
It relies on notions of a mean state (MS), a minimal stabilizer-projection state (MSPS), and a …
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 …
Modular decoding: parallelizable real-time decoding for quantum computers
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 …
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 …
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 …
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 …
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 …
on thought imposed by the use of images alone. In 1983 the New Zealander and American …