Online courses directory (2511)

This course is an introduction to quantum computational complexity theory, the study of the fundamental capabilities and limitations of quantum computers. Topics include complexity classes, lower bounds, communication complexity, proofs, advice, and interactive proof systems in the quantum world. The objective is to bring students to the research frontier.

This course provides an introduction to the theory and practice of quantum computation. Topics covered include: physics of information processing, quantum logic, quantum algorithms including Shor's factoring algorithm and Grover's search algorithm, quantum error correction, quantum communication, and cryptography.

This is an advanced graduate course on quantum computation and quantum information, for which prior knowledge of quantum mechanics is required. Topics include quantum computation, advanced quantum error correction codes, fault tolerance, quantum algorithms beyond factoring, properties of quantum entanglement, and quantum protocols and communication complexity.

6.453 Quantum Optical Communication is one of a collection of MIT classes that deals with aspects of an emerging field known as quantum information science. This course covers Quantum Optics, Single-Mode and Two-Mode Quantum Systems, Multi-Mode Quantum Systems, Nonlinear Optics, and Quantum System Theory.

This is the first course in the undergraduate Quantum Physics sequence. It introduces the basic features of quantum mechanics. It covers the experimental basis of quantum physics, introduces wave mechanics, Schrödinger's equation in a single dimension, and Schrödinger's equation in three dimensions.

This presentation of 8.04 by Barton Zwiebach (2016) differs somewhat and complements nicely the presentation of Allan Adams (2013). Adams covers a larger set of ideas; Zwiebach tends to go deeper into a smaller set of ideas, offering a systematic and detailed treatment. Adams begins with the subtleties of superpostion, while Zwiebach discusses the surprises of interaction-free measurements. While both courses overlap over a sizable amount of standard material, Adams discussed applications to condensed matter physics, while Zwiebach focused on scattering and resonances. The different perspectives of the instructors make the problem sets in the two courses rather different.
 

Together, this course and 8.06 Quantum Physics III cover quantum physics with applications drawn from modern physics. Topics covered in this course include the general formalism of quantum mechanics, harmonic oscillator, quantum mechanics in three-dimensions, angular momentum, spin, and addition of angular momentum.

8.06 is the third course in the three-sequence physics undergraduate Quantum Mechanics curriculum. By the end of this course, you will be able to interpret and analyze a wide range of quantum mechanical systems using both exact analytic techniques and various approximation methods. This course will introduce some of the important model systems studied in contemporary physics, including two-dimensional electron systems, the fine structure of Hydrogen, lasers, and particle scattering.

8.321 is the first semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: Hilbert spaces, observables, uncertainty relations, eigenvalue problems and methods for solution thereof, time-evolution in the Schrodinger, Heisenberg, and interaction pictures, connections between classical and quantum mechanics, path integrals, quantum mechanics in EM fields, angular momentum, time-independent perturbation theory, density operators, and quantum measurement.

8.322 is the second semester of a two-semester subject on quantum theory, stressing principles. Topics covered include: time-dependent perturbation theory and applications to radiation, quantization of EM radiation field, adiabatic theorem and Berry's phase, symmetries in QM, many-particle systems, scattering theory, relativistic quantum mechanics, and Dirac equation.

This subject introduces the key concepts and formalism of quantum mechanics and their relevance to topics in current research and to practical applications. Starting from the foundation of quantum mechanics and its applications in simple discrete systems, it develops the basic principles of interaction of electromagnetic radiation with matter.

Topics covered are composite systems and entanglement, open system dynamics and decoherence, quantum theory of radiation, time-dependent perturbation theory, scattering and cross sections. Examples are drawn from active research topics and applications, such as quantum information processing, coherent control of radiation-matter interactions, neutron interferometry and magnetic resonance.

This course introduces the students to dynamics of large-scale circulations in oceans and atmospheres. Basic concepts include mass and momentum conservation, hydrostatic and geostrophic balance, and pressure and other vertical coordinates. It covers the topics of fundamental conservation and balance principles for large-scale flow, generation and dissipation of quasi-balanced eddies, as well as equilibrated quasi-balanced systems. Examples of oceanic and atmospheric quasi-balanced flows, computational models, and rotating tank experiments can be found in the accompaniment laboratory course 12.804, Large-scale Flow Dynamics Lab.

This class deals with the modeling and analysis of queueing systems, with applications in communications, manufacturing, computers, call centers, service industries and transportation. Topics include birth-death processes and simple Markovian queues, networks of queues and product form networks, single and multi-server queues, multi-class queueing networks, fluid models, adversarial queueing networks, heavy-traffic theory and diffusion approximations. The course will cover state of the art results which lead to research opportunities.

In this seminar we will examine various issues related to the intersection of race and gender in Asian America, starting with the nineteenth century, but focusing on contemporary issues. Topics to be covered may include racial and gender discourse, the stereotyping of Asian American women and men in the media, Asian American masculinity, Asian American feminisms and their relation to mainstream American feminism, the debate between feminism and ethnic nationalism, gay and lesbian identity, class and labor issues, domestic violence, interracial dating and marriage, and multiracial identity.

In this seminar we will examine various issues related to the intersection of race and gender in Asian America, starting with the nineteenth century, but focusing on contemporary issues. Topics to be covered may include racial and gender discourse, the stereotyping of Asian American women and men in the media, Asian American masculinity, Asian American feminisms and their relation to mainstream American feminism, the debate between feminism and ethnic nationalism, gay and lesbian identity, class and labor issues, domestic violence, interracial dating and marriage, and multiracial identity.

This course explores the ways in which various American artists view race and class as performed or performable identities. Discussions will focus on some of the following questions: What does it mean to act black, white, privileged, or underprivileged? What do these artists suggest are the implications of performing (indeed playing at or with) racial identity, ethnicity, gender, and class status? How and why are race and class status often conflated in these performances?

This course examines one of the most enduring and influential forms of identity and experience in the Americas and Europe, and in particular the ways race and racism have been created, justified, or contested in scientific practice and discourse. Drawing on classical and contemporary readings from Du Bois to Gould to Gilroy, we ask whether the logic of race might be changing in the world of genomics and informatics, and with that changed logic, how we can respond today to new configurations of race, science, technology, and inequality. Considered are the rise of evolutionary racism; debates about eugenics in the early twentieth century; Nazi notions of "racial hygiene"; nation-building projects and race in Latin America; and the movement in modern biology from race to populations to genes and genomes.

This seminar looks at key issues in the historical development and current state of modern American criminal justice, with an emphasis on its relationship to citizenship, nationhood, and race/ethnicity. We begin with a range of perspectives on the rise of what is often called "mass incarceration": how did our current system of criminal punishment take shape, and what role did race play in that process? Part Two takes up a series of case studies, including racial disparities in the administration of the death penalty, enforcement of the drug laws, and the regulation of police investigations. The third and final part of the seminar looks at national security policing: the development of a constitutional law governing the intersection of ethnicity, religion, and counter-terrorism, and the impact of counter-terrorism policy on domestic police practices.

This course investigates the principles of thermal radiation and their applications to engineering heat and photon transfer problems. Topics include quantum and classical models of radiative properties of materials, electromagnetic wave theory for thermal radiation, radiative transfer in absorbing, emitting, and scattering media, and coherent laser radiation. Applications cover laser-material interactions, imaging, infrared instrumentation, global warming, semiconductor manufacturing, combustion, furnaces, and high temperature processing.

This course is an introduction to the basics of random matrix theory, motivated by engineering and scientific applications.

This graduate-level subject explores various mathematical aspects of (discrete) random walks and (continuum) diffusion. Applications include polymers, disordered media, turbulence, diffusion-limited aggregation, granular flow, and derivative securities.