Quantum Information and Quantum Computation

Spring 2019
Physics 680-01
Class Number 47436

Tuesday and Thursday at 8:30-9:50am

Physics building, room P128
  • Office Hours: Tuesday and Thursday at 10-11 am
  • Instructors: Vladimir Korepin
    Office: Physics D-147

    Office Hours: Thursday 10am-11am

    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, as well as Bell inequalities. The course will proceed to entanglement theory. Application of entanglement to analysis of dynamical systems will be explained.
    Information theory [starting from Shannon theorems about channel capacity] will be related to statistical physics and probability theory.
    Algorithm theory: Shor's and Grover's quantum algorithms. Quantum cryptography also will be explained, starting from BB84.
    Different approaches to building of quantum computers: solid state [fractional quantum Hall effect and Josephson junction] and quantum optics [including optical lattices, cold atoms, ion traps and electromagnetically induced transparency]. Different architectures of quantum computation: circuit, adiabatic, topological quantum computation [including models of anyons] and measurement based quantum computation.
    Application of ideas of quantum information to condensed matter also will be explained: topological phases of matter [including CFT], Kitaev model, spin chains, topological Kondo and SYK model. Simulation of models of mathematical physics in optical lattices [massive Thirring model, XXZ spin chain and Lieb-Linger model].
    Computational physics also will be mentioned: MERA (and its relation to AdS) matrix product states and relation to algebraic Bethe ansatz.
    Highly entangled spin chains [Motzkin and Fredkin] will be mentioned.
    Quantum machine learning as well as qiskit will be explained. Guest lecturers will be invited. Quantum computer learning club will be organized.

    Learning outcomes

    Mid Term Exam: March 12

    Final Exam: May 9

    Main textbooks

    Entanglement in quantum spin chains

  • Isotropic XY model
  • XY model
  • Renyi entropy in XY model
  • Entanglement in AKLT model
  • AKLT on arbitrary graph
  • Feather reading

  • Richard Feynman On quantum physics and computer simulation .
  • Quantum Mechanics: Photons Corpuscles of Light by Richard Feynman
  • Claude Shannon Father of the Information Age
  • Popular lecture by Michael Freedman
  • MIT
  • Quantum Information Processing with Superconducting Circuits
  • D-wave
  • Anyons in one dimension
  • Quantum algorithm for partial search
  • Algebraic Bethe Ansatz and Tensor networks.
  • Web page of professor Wei : phy680; quantum
  • Quantum Information Processing
    For your information. If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disability Support Services (631) 632-6748. They will determine with you what accommodations are necessary and appropriate. All information and documentation is 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/

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    Last updated Monday, 28-Jan-2019 13:50:34 EST