Stony Brook Physics

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Entanglement in quantum
Teaching
Stony Brook
Contact details
  • Prof. Vladimir Korepin
    C.N. Yang Institute for Theoretical Physics
  • Email address: vladimir.korepin@stonybrook.edu
Quantum-related links
  • to come




Quantum Information and Physics

Spring 2024, Physics 680-01, Class Number 55200
Physics building room P122
Tuesday and Thursday from 8:00am till 9:20am
Physics building P122 In person.
Office Hours: Tuesday and Thursday from 9:30 am till 10am?
?Mid-term exam on March 10?
?Final Exam on May 5?

Course description

The course will start with: Information theory [including Shannon's theorems]. Models of noisy quantum channels will be explained. Cryptography will be explained. Information loss in black holes will be discussed as well as an approach to quantization of gravity.
Necessary part of quantum mechanics will be reminded: including interaction with the environment, measurements theory, trace preserving completely positive maps. Master equation and Lindblad operators are important for description of open quantum systems. The course will proceed to entanglement theory. Application of entanglement of dynamical systems [including high energy]: scaling of von Neumann and Renyi entropy with the size of the box. Dynamics of entanglement entropy including quenches and Cardy-Calabrese formula. Holographic approach to entanglement and structure of entanglement in quantum field theory and string theory.
Algorithm theory: Quantum algorithms needs reformulation to reduce noise and accelerate running time on NISQ computers. Grover's algorithm and its reformulation to hardware efficient quantum search will be explained, including dynamical decoupling. Topological quantum computation will be explained. Variational quantum algorithms will be included. Also an input of Bethe Ansatz wave-function in a quantum computer. Error resistant version of quantum search also will be mentioned. Quantum cellular automata will be explained.
Application of ideas of quantum information to nuclear physics and elementary particles also will be explained: the entropy of jets, deep inelastic scattering, Lipatov's spin chain, Schwinger model, Thirring model and sine-Gordon, Zamolodchikov C-theorem, XXZ spin chain, AKLT spin systems, Lieb-Linger model of anyons, Kitaev model, Kondo model, Hubbard model and SYK model. Simulation of models of mathematical physics in optical lattices also will be explained.
Computational physics also will be mentioned: matrix product states and relation to algebraic Bethe ansatz. Highly entangled spin chains [Motzkin and Fredkin] will be mentioned. The entanglement entropy becomes extensive in these models [proportional to the volume] after q-deformation.
Quantum machine learning will be explained, including classical machine learning. Integrable spin chains and cellular automata [such as Rule 54] will be included. Also quantum technique in stochastic mechanics will be touched upon.
Guest lecturers will be invited. Quantum information learning club will be organized.

Requirements: Knowledge of linear algebra is required. Students should know physics and quantum mechanics on the undergraduate level.

Learning outcomes

  • Application of information theory to physics. Entanglement in high energy physics
  • Understanding of information theory and its relation to statistical mechanics and probability theory
  • Quantum mechanics of open systems and interaction with environment
  • Quantum machine learning.

90% of final grade is based in exam and 10% on homework         

For your information. If you have a physical, psychological, medical, or learning disability that may impact your course work, please contact the Student Accessibility Support Center, Stony Brook Union Suite 107, (631) 632-6748, or at sasc@stonybrook.edu. They will determine with you what accommodations are necessary and appropriate. All information and documentation are confidential.
Students requiring emergency evacuation are encouraged to discuss their needs with their professors and Disability Support Services. For procedures and information, go to the following web site http://studentaffairs.stonybrook.edu/dss/
Disability Support Services, Academic Integrity and Critical Incident Management, see http://www.stonybrook.edu/provost/facultyinfo/index.shtml

Email: vladimir dot korepin at stonybrook.edu