Dynamics and Quantum Optimal Transport: Three lectures on quantum
entropy and quantum Markov semigroups
- URL: http://arxiv.org/abs/2306.10903v2
- Date: Mon, 14 Aug 2023 13:53:15 GMT
- Title: Dynamics and Quantum Optimal Transport: Three lectures on quantum
entropy and quantum Markov semigroups
- Authors: Eric Carlen
- Abstract summary: It presents a fairly self contained account of an active topic of current research.
The main results are known, but there a number of new proofs and some new results.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: This document presents the contents of three lectures delivered by the author
at the Erd\H{o}s Center School ``Optimal Transport on Quantum Structures'',
Septemer 19-23, 2022 in Budapest, Hungary. It presents a fairly self contained
account of an active topic of current research, and this account should be
accessible to most graduate students, as befits lectures for a school. The main
results are known, but there a number of new proofs and some new results.
Related papers
- Spin(ing) into the classroom: Quantum spin activities for Year 6-10 physics [0.1906498126334485]
Quantum spin underpins medical imaging, quantum computing and many future technologies.
These toys can provide an easily understood window to the quantum world for lower secondary school students.
arXiv Detail & Related papers (2024-05-09T03:44:31Z) - Alexander S. Holevo's Researches in Quantum Information Theory in 20th Century [53.64687146666141]
This paper reviews Holevo's contributions to quantum information theory during the 20 century.
At that time, he mainly studied three topics, classical-quantum channel coding, quantum estimation with Cramero-Rao approach, and quantum estimation with the group covariant approach.
arXiv Detail & Related papers (2024-04-25T12:06:49Z) - Quantum Information Theory -- Lecture Notes [0.0]
The lecture notes contain only a small selection of topics in these disciplines, with the aim of providing you with an overview and a basic introduction.
The corresponding lecture series is available on my YouTube channel.
arXiv Detail & Related papers (2023-11-21T08:54:42Z) - Lecture notes on quantum computing [0.0]
The aim of this course is to provide a theoretical overview of quantum computing.
Lectures on these topics are compiled into 12 chapters, most of which contain a few suggested exercises at the end.
At Chalmers, the course is taught in seven weeks, with three two-hour lectures or tutorials per week.
arXiv Detail & Related papers (2023-11-14T18:42:55Z) - Quantum Optimal Transport: Quantum Channels and Qubits [13.452510519858995]
Notes are based on lectures given by the second author at the School on Optimal Transport on Quantum Structures in September 2022.
The focus of the exposition is on two recently introduced approaches on quantum optimal transport.
arXiv Detail & Related papers (2023-07-30T16:21:37Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - From Goldilocks to Twin Peaks: multiple optimal regimes for quantum
transport in disordered networks [68.8204255655161]
Open quantum systems theory has been successfully applied to predict the existence of environmental noise-assisted quantum transport.
This paper shows that a consistent subset of physically modelled transport networks can have at least two ENAQT peaks in their steady state transport efficiency.
arXiv Detail & Related papers (2022-10-21T10:57:16Z) - Report of the Snowmass 2021 Theory Frontier Topical Group on Quantum
Information Science [0.0]
Three main themes are identified and discussed; quantum simulation, quantum sensors and formal aspects of the connection between quantum information and gravity.
Efforts in developing a diverse quantum workforce are also discussed.
arXiv Detail & Related papers (2022-09-29T14:56:11Z) - Standard Model Physics and the Digital Quantum Revolution: Thoughts
about the Interface [68.8204255655161]
Advances in isolating, controlling and entangling quantum systems are transforming what was once a curious feature of quantum mechanics into a vehicle for disruptive scientific and technological progress.
From the perspective of three domain science theorists, this article compiles thoughts about the interface on entanglement, complexity, and quantum simulation.
arXiv Detail & Related papers (2021-07-10T06:12:06Z) - Simulating Quantum Materials with Digital Quantum Computers [55.41644538483948]
Digital quantum computers (DQCs) can efficiently perform quantum simulations that are otherwise intractable on classical computers.
The aim of this review is to provide a summary of progress made towards achieving physical quantum advantage.
arXiv Detail & Related papers (2021-01-21T20:10:38Z) - Quantum Phases of Matter on a 256-Atom Programmable Quantum Simulator [41.74498230885008]
We demonstrate a programmable quantum simulator based on deterministically prepared two-dimensional arrays of neutral atoms.
We benchmark the system by creating and characterizing high-fidelity antiferromagnetically ordered states.
We then create and study several new quantum phases that arise from the interplay between interactions and coherent laser excitation.
arXiv Detail & Related papers (2020-12-22T19:00:04Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.