MARQUISE

Magnetic Resonance
Quantum Information
Science and Education

About Us

Our Purpose

Our mission is to develop and distribute educational materials that make concepts in magnetic resonance (MR) and quantum information science (QIS) accessible to a wide scientific audience. This website is a platform shared by learners, for learners at the intersection of magnetic resonance, quantum information science, and education (MARQUISE). The contributors know that there is a huge opportunity for science, innovation, and education by bridging these fields, but have been stumped by a language and knowledge barrier in navigating QIS, which transcends traditional disciplinary boundaries of chemistry, physics, biology, material science, and computer science.

We are sharing our “notes” in real time in the form of blog posts, but do not claim to be comprehensive nor representative in any form. We welcome feedback, comments on posts, and guest contributions. If you are interested in getting involved as a contributor please reach out to us, as we look forward to growing the MARQUISE community.

Featured Blog

Introduction to SpinDrops

Hello! Today, I want to introduce SpinDrops, a unique tool for the visualization of small spin systems. SpinDrops is a free software for simulating spin 1/2 systems of up to three spins, and can be downloaded or run via a web app. Here, and in future posts that build off this introduction, I will present […]

Read More

Featured Blog

Computing angular momentum operators

Hi reader! This post is the first of hopefully a long series, where we will show how to simulate magnetic resonance experiments, starting from the basics (eg: the liquid-state 1D NMR spectrum of a simple spin system), and building up to more complicated topics like multidimensional experiments or quantum gates. The aim of these posts […]

Read More

Featured Blog

Coming soon!

Literature resources coming soon, from responses to important papers in the field to reviews summarizing blocks of literature. If you’re interested in contributing, please let us know!

Read More

Featured Blog

Postulate VI – Time evolution (Part II)

The full scripts presented in this post are available at these links: MATLAB, Python In the previous post we saw how the time-dependent Schrödinger equation allows us to calculate how quantum mechanical systems evolve with time, under the effect of the Hamiltonian operator, which describes the total energy of the system. In the case where […]

Read More

Featured Blog

Postulate V: Collapse of the wave function

Collapse of the wave function. Sounds intense, in’t? What does it mean? That’s the topic of this post. When we discussed the second and third postulates of quantum mechanics, we saw that, for a given physical observable , we can only measure an eigenvalue of the operator associated with . We also saw with the […]

Read More

Featured Blog

Postulate II & III – Observable operators and eigenvalues

The full scripts presented in this post are available at these links: MATLAB, Python With the first postulate of quantum mechanics, we learnt that everything there is to know about a quantum system is encapsulated in the wave function . But so far, the wave function is sort of a black box and we still […]

Read More

Featured Blog

Postulate VI: Time evolution (Part I)

This post presents the last of the six postulates of quantum mechanics. Up to now, we have seen how a quantum mechanical state is defined, what is the outcomes of measurements on such systems, and how measurements affect them. The sixth postulate determines how quantum mechanical system evolve in time; it defines the equation of […]

Read More

Featured Blog

Postulate IV: Probability for a measurement

The full scripts presented in this post are available at these links: MATLAB, Python In the previous post, we saw that for any state , measuring the observable can only result in one of the eigenvalues of the Hermitian operator associated with . We concluded by asking what could be the probability of measuring one […]

Read More

Resources

Literature

Digging your way through the jungle

Our thoughts on the current literature, including literature responses and structures for approaching the vast array of existing papers.

There is a huge amount of literature on magnetic resonance and quantum information science, but the esoteric language of each field can make it difficult to bridge ideas across them. In this blog, we use posts to present important papers in the attempt to translate their ideas into an approachable language for either perspective. We also put forward some structural frameworks to help the curious reader sort through the vast library of current literature based on their own background and interests.

Theory

Quantum Mechanics in the light of spins

A theoretical toolkit for understanding spin physics and quantum information science, starting with the fundamentals of quantum mechanics and building into more complex topics.

The theory of quantum mechanics is rich in its mathematical beauty and power for describing the microscopic physical world. In these posts, we present quantum mechanics from the perspective of spins physics, utilizing the language of magnetic resonance to introduce and understand the key ideas underlying quantum information science. Beginning from the postulates of quantum mechanics, this section aims to equip the reader with the theoretical background required to understand complex concepts in magnetic resonance, quantum sensing, and quantum computing.

Simulation

Approaching the life of spins using a computer

Computation techniques for magnetic resonance, ranging from the basics of 1D spectra to many-spin systems and machine learning methods.

The simulation of spin systems has a rich history in magnetic resonance, and is a powerful tool for predicting behavior, interpreting data, and discovering new experimental techniques. In this blog, posts will present functions for simulating basic magnetic resonance experiments in multiple coding languages, techniques for developing more complex algorithms, and introduce a framework for utilizing machine learning to approach problems in spin physics.

Realization

Utilizing the fundamentals with physical systems

A selection of experimental systems where magnetic resonance and quantum information science intersect presented in a digestible form for any background.

There is a wide array of physical systems whose behavior lies at the intersection of magnetic resonance and quantum information science. In this section, we will present a handful of such systems based on some of our current interests, while recognizing that this is just the tip of the iceberg of existing and potential physical systems with exciting and exploitable spin physics. Some systems will be presented in detail, building from the fundamentals for the new learner into more complex behaviors and applications, while others will be presented broadly, directing the interested reader towards more details.

Visualization

Picturing spins in a new light

Using visual tools to deepen our insight into and intuition of complex ideas in spin physics and quantum information.

Quantum mechanics, including the physics of magnetic resonance, is often presented through a mathematical framework, as this offers a natural language for the description of quantum systems. However, this mathematical approach may not be ideal for everyone, and for many concepts appropriate visual aids can help develop intuition and understanding. In this section, we will present methods and tools for the visualization of spin systems and quantum information science, using these as a complement to the rigorous mathematical approach to allow for new perspectives on complex ideas.

Explore MARQUISE Through Search Filters

Our Contributors

Songi Han

I am a scientist and a magnetic resonance enthusiast who is passionate about the beauty and power of science that I wish to make accessible to a broader audience. I am a Professor of Chemistry, currently at Northwestern University, and have been performing research in electron and nuclear magnetic, starting out as an Assistant Professor in 2004 at UC Santa Barbara, 20 years ago.

Quentin Stern

Chemist by training, I’m passionate about spin physics. What I enjoy most is confronting theory and experiment, using all possible creativity. During my PhD years, I came to realize that simulating magnetic resonance was not so difficult and was in fact an excellent way to learn. That’s what I want to share with others by contributing to MARQUISE!

Joshua Straub

With a background in physics and nuclear magnetic resonance, I am excited by innovative ideas at the intersection of quantum physics, chemistry, and biology about sharing this excitement with others within and outside the scientific community.

Artist Credit:
Yu SciVis & Art LLC (Dr. Chung-Jui Yu)
Website designed and developed by:
NetzOptimize Inc.
© COPYRIGHT . QUANTUM-RESONANCE.ORG

Quantum Insights