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 Quantum Computation

Spring 2021, Physics 680-01, Class Number 46463. On line course.
Tuesday and Thursday from 8:00am till 9:20am.
Zoom ID and psswd will be posted in blackboard.
Office Hours: Tuesday and Thursday from 9:30 am till 10:30am.
Same zoom ID as the lecture.

Course description

The course will start with a brief reminder of quantum mechanics [QM]. All sections of QM necessary for information processing will be introduced: interaction with the environment, measurements theory, trace preserving completely positive maps [super-operators], as well as Bell inequalities. Master equation and Lindblad operators are important for description of open quantum systems. The course will proceed to entanglement theory. Application of entanglement to analysis of dynamical systems [including high energy theory] will be explained. Scaling of von Neumann and Renyi entropy as well as time evolution [quenches]. Holographic approach to entanglement and structure of entanglement in quantum field theory will be explained.
Information theory [starting from Shannon theorems, describibng channel capacity] will be related to statistical physics [including Maxwell's demon and Landauer's Principle] and probability theory. Holevo information helps to describe noisy quantum channels. Structure and capacity of Gaussian observables is important for understanding of quantum waveguides. Quantum teleportation and cryptography [starting from BB84 to our days] will be explained. The course will proceed to quantum transport, dissipation and decays, followed by construction of quantum batteries.
Algorithm theory: Shor's and Grover's quantum algorithms [also quantum counting and phase estimation]. Variational quantum algorithms will be included. Different approaches to building of quantum computers: solid state [Josephson junction], topological and quantum optics [including optical lattices, cold atoms, ion traps, electromagnetically induced transparency and chiral materials]. Different architectures of quantum computation: circuit, adiabatic, topological and measurement based quantum computation. Quantum cellular automata will be explained. We shall discuss new, photonic Chinese quantum computer 九章, see also a Journal version .
Application of ideas of quantum information to condensed matter and high energy physics also will be explained: Thirring model, XXZ spin chain, Lieb-Linger model of anyons, Lipatov's spin chain. 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 this models [proportional to the volume].
Quantum machine learning will be explained.
Guest lecturers will be invited. Quantum computer learning club will be organized.

The course is based on PHY 682.01 taught by professor Tzu-Chieh Wei in the fall 2020.

Learning outcomes

  • Understanding of foundations of quantum mechanics: measurement theory, interaction with environment and the role of entanglement
  • Understanding of quantum algorithms
  • Understand of information theory and their relation to statistical mechanics and probability theory

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