Quantum Information: Chem191, CS191, Phys191


Announcements

  • 12/1: The remaining project presentations will take place on Tuesday December 2 in class. The project reports are due on Monday December 8. Please remember to email us a copy of the report.
  • 11/21: Term project list updated [pdf] Five students still need to send in information.
  • Discussion sections M 10-11 in 320 Soda, M 12-1 in 310 Soda.

    Homework

    Please drop off homework in drop box 1, 283 Soda Hall, by 4pm. Midterm solutions [pdf,ps] and optional quiz solutions [pdf,ps]

    Lecture notes

    Topic Notes (modified)
    18/26 Qubits, Measurements [pdf,ps] (8/30)
    28/28 Bell States, Bell Inequalities [pdf,ps] (8/30)
    39/2 Hilbert Spaces, Tensor Products [pdf,ps] (9/4)
    49/4 Unitary Evolution, No Cloning Theorem, Superdense Coding [pdf,ps] (9/6)
    59/9 Universal Gate Sets, Schrödinger's Equation, Quantum Teleportation [pdf,ps] (9/15)
    69/11 operators, Physical Postulates, Hamiltonians [pdf,ps] (9/20)
    79/16 Planck-Einstein,Schrödinger eq., position/momentum reps., deBroglie [pdf,ps] (9/22)
    89/18 Uncertainty relations, r and p operators, free particle SE, particle-on-ring SE [pdf,ps] (9/26)
    99/23 Introduction to Spin - Magnetic Moment scan:[pdf,ps]
    109/25 Spin Properties, Angular Momentum [pdf,ps] (10/2)
    119/30 Manipulating Spins, B-fields [pdf,ps] (10/6)
    scan: [pdf,ps]
    1210/2 Spin Precession [pdf,ps] (10/7)
    scan: [pdf,ps]
    1310/7 Spin resonance, 2-slit expt., entanglement scan: [pdf,ps]
    1410/9 Atoms as 2-level Systems scan: [pdf,ps]
    1510/14 Atoms and Photons - atomic qubits scan: [pdf,ps]
    1610/16 Midterm Quiz   Topics: [pdf,ps]   Mean 54.2, StDev 16.8   Solutions: [pdf,ps]
    1710/21 Photon Polarization - photon qubits scan: [pdf,ps]
    1810/23 Reversibility, Quantum Circuits [pdf,ps] (10/29)
    1910/28 Quantum Fourier Transform [pdf,ps] (12/3)
    scan: [pdf,ps]
    2010/30 Quantum Factoring Algorithm scan: [pdf,ps]
    2111/4 Quantum Teleportation Experiments scan: [pdf,ps]
    Nature
    2211/6 Density matrices, Decoherence scan: [pdf] (11/12)
    2311/13 NMR Quantum Computation: guest lecturer Thaddeus Ladd, Stanford outline: [pdf]
    slides: [pdf] (11/13)
    2411/18 Silicon-based Quantum Computation: guest lecturer Thomas Schenkel, LBNL slides: [pdf] (11/19)
    2511/20 Quantum Key Distribution: guest lecturer Richard Hughes, LANL slides: [pdf] (12/2)
    supplementary material: [pdf]
    2611/25 Optical Lattice Quantum Computer: guest lecturer Jiri Vala, UCB slides: [pdf] (11/27)
    2712/2 Project Presentations
    2812/4 Dirac Equation

    Project Guidelines


  • Term Project list [pdf] The project is worth 40% of the grade. You should work in teams of 3-4. We encourage cross-disciplinary teams, since ideally a project should address both CS and Physics aspects of the question being studied. At the end of the semester each team will submit a project report, as well as give a 15-20 minute oral presentation.

    Here are a few suggestions of broad topics for projects. We will add to this list, and you should feel free to suggest any topic that you are interested in. When you are ready, please email the course instructors the composition of your team, the topic, and a brief description. You are also encouraged to discuss your topic in person with any of the faculty.

    quant-ph refers to the Los Alamos archives: link

  • Physical Realization
  • Quantum Error-correcting codes (see quant-ph/0304016, Preskill chapter 7 and Vazirani lecture notes 11 and 12)
  • Adiabatic Algorithms (see quant-ph/0001106, quant-ph/0104129, quant-ph/0206003)
  • Teleportation
  • Quantum communication (see quant-ph/9904093, quant-ph/9804043, Jordan Kerinidis' talk at the quantum reading group on 10/31/03 at 1pm in 606 Soda Hall)
  • Limits on quantum computation
  • What is a quantum measurement?
  • Efficient classical simulation of quantum systems (see quant-ph/0310089)
  • Many worlds interpretation (see quant-ph/0003084)
  • Algorithmic cooling and quantum architectures (see quant-ph/9804060 and http://www.cs.berkeley.edu/~kubitron/papers/ "Building quantum wires: the long and short of it")

    Instructors


    Michael Crommie
    Monday 9-10 in 361 Birge
    crommie@physics

    Umesh Vazirani
    Tuesday 3:45-4:45 in 671 Soda
    vazirani@cs

    K Birgitta Whaley
    Friday 11-12 in 219 Gilman
    whaley@uclink

    Teaching Assistants

    Ben Reichardt
    Wednesday 1:30-2:30 in 593 Soda
    breic@cs

    Joshua Von Korff
    Thursday 4:30-5:30 in 46 Gilman
    vonkorff@socrates

    Useful Links:



    Recommended reading


    For all topics, the first recommended reading is the lecture notes. For a second point of view, or if the notes are confusing, try the other sources listed below.

    On quantum computation

    Mathematical background

    On quantum mechanics in general