The papers should be 3-10 pages, ALL INCLUSIVE. Short is fine as long as the topic is well understood and well covered.

A tentative schedule follows (email Kevin if you have not submitted a title and picked a day):

Quantum Error Correction in Fault Tolerant Memory Hierarchies -

QC with Quantum Dots -

Quantum Computing with Molecular Magnets -

NMR Quantum Computing -

Interpretations of Quantum Mechanics -

Quantum Error Correction using Shor's 9-bit code -

Quantum Encryption -

Ion Quantum Computing -

Realizing Josephson Junction Qubits -

Topic |
Notes (modified) |
|||

1 | 1/18 | Qubits, Measurements | [pdf,ps] (8/30) | |

2 | 1/20 | Bell States, Bell Inequalities | [pdf,ps] (8/30) | |

3 | 1/25 | Hilbert Spaces, Tensor Products | [pdf,ps] (9/4) | |

4 | 1/27 | Unitary Evolution, No Cloning Theorem, Superdense Coding | [pdf,ps] (9/6) | |

5 | 2/1 | Universal Gate Sets, Schrödinger's Equation, Quantum Teleportation | [pdf,ps] (9/15) | |

6 | 2/3 | operators, Physical Postulates, Hamiltonians | [pdf,ps] (9/20) | |

7 | 2/8 | Planck-Einstein,Schrödinger eq., position/momentum reps., deBroglie | [pdf,ps] (9/22) | |

8 | 2/10 | Schrodinger equation, time dependence, commutators | [pdf,ps] (2/10) | |

9 | 2/15 | Introduction to Spin - Magnetic Moment | [pdf,ps] (2/15) | |

10 | 2/17 | Spin Properties, Angular Momentum | [pdf,ps] (10/2) | |

11 | 2/22 | Manipulating Spins, B-fields |
[pdf,ps] (10/6)
scan: [pdf,ps] | |

12 | 2/24 | Spin Precession |
[pdf,ps] (10/7) scan: [pdf,ps] | |

13 | 3/1 | Spin resonance, 2-slit expt. |
[pdf,ps] (3/2) scan: [pdf,ps] | |

14 | 3/3 | Entanglement and spins, Atoms as 2-level Systems |
[pdf,ps] (3/3) scan: [pdf,ps] | |

15 | 3/8 | Atoms and Photons - atomic qubits |
[pdf,ps] (3/10) scan: [pdf,ps] | |

16 | 3/15 | Photon Polarization - photon qubits |
[pdf,ps] (3/10) scan: [pdf,ps] | |

17 | 3/17 | Reversibility, Quantum Circuits | [pdf,ps] (10/29) | |

18 | 3/29 | Quantum Fourier Transform |
[pdf,ps] (12/3)
See also: [ps] scan: [pdf,ps] | |

19 | 3/31 | Quantum Factoring Algorithm | scan: [pdf,ps] see also: [ps] | |

20 | 4/5 | Quantum Search and the Quantum Zeno Paradox | see: [ps] | |

21 | 4/7 |
Midterm Quiz
| ||

21 | 4/12 | Quantum search contd. + Density matrices | see: [ps] | |

22 | 4/14 | Quantum Teleportation Experiments |
scan: [pdf,ps]
Nature | |

23 | 4/19 | Silicon-based Quantum Computation: guest lecturer Thomas Schenkel, LBNL | ||

24 | 4/21 | Cavity QED: guest lecturer Kevin Moore, UCB | slides: [pdf] (4/21) | |

25 | 4/26 | Josephson Junction Qubits: guest lecturers Travis Hime and Paul Reichardt, UCB | ||

26 | 4/28 | Single photon sources: guest lecturer Charles Santori, Stanford Univ. | ||

27 | 5/3 | The Dirac equation and the origin of spin | ||

30 | 5/10&5/12 | Project Presentations |

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

NUCLEAR SPIN QUBITS:

1. A Silicon-based Nuclear Spin Quantum Computer , B. E. Kane, Nature 393, 133 (1998).

2. Single Spin Measurement using Single Electron Transistors to Probe Two Electron Systems, B. E. Kane, N. S. McAlpine, A. S. Dzurak, R. G. Clark, G. J. Milburn, He Bi Sun, Howard Wiseman, Phys. Rev. B 61, 2961 (2000).

QUANTUM TELEPORTATION:

1. Quantum teleportation of light beams," T. C. Zhang, K. W. Goh, C. W. Chou, P. Lodahl, and H. J. Kimble, Phys. Rev. A. 67, 033802 (2003)

2. Anton Zeilinger

JOSEPHSON JUNCTION QUBITS:

Gerd Schoen, John Clarke H. Mooij Superconducting Qubits: A Short Review, M. H. Devoret, A. Wallraff, and J. M. Martinis cond-mat/0411174 (2004)

NMR-BASED QUANTUM COMPUTING:

Isaac Chuang N. Gershenfeld and I. Chuang, Science, 275, pp. 350-356, 1997). More recent experimental and theoretical papers are available at the Physics and Media Group's publications page,

QUANTUM DOT QUBITS:

[1] D. Loss, D.P. DiVincenzo, Phys. Rev. A 57 (1998) 120; cond-mat/9701055.

[2] See review by, G. Burkard and D. Loss, in "Semiconductor Spintronics and Quantum Computation", eds. D. Awschalom, D. Loss, N. Samarth, Springer, Berlin, 2002.

[3] J. M. Elzerman et al., cond-mat/0212489.

[4] R. Hanson et al., cond-mat/0303139.

5. Recipes for spin-based quantum computing, Veronica Cerletti, W. A. Coish, Oliver Gywat, Daniel Loss, Nanotechnology 16, R27 (2005).

6. Controlling Spin Qubits in Quantum Dots, Hans-Andreas Engel, L.P. Kouwenhoven (Delft), Daniel Loss, C.M. Marcus (Harvard) Quantum Information Processing 3, 115 (2004) http://journals.kluweronline.com/article.asp?PIPS=493103.

QUANTUM COMPUTING W/ MOLECULAR MAGNETS:

Quantum computing with spin cluster qubits Florian Meier, Jeremy Levy (Pittsburgh), Daniel Loss Phys. Rev. Lett. 90, 047901 (2003).

Quantum Spin Dynamics in Molecular Magnets Michael N. Leuenberger, Florian Meier, Daniel Loss Monatshefte für Chem. 134, 217(2003); cond-mat/0205457

Electron Spins in Artificial Atoms and Molecules for Quantum Computing Vitaly N. Golovach, Daniel Loss Semicond. Sci. Technol. 17, 355- 366 (2002); cond-mat/0201437

CAVITY QUANTUM ELECTRODYNAMICS:

http://www.cco.caltech.edu/~qoptics/cqed.html

BOSE EINSTEIN CONDENSATES AND QUANTUM CONTROL:

[1] M. Greiner, et al., Nature 415, 39 (2002).

QUANTUM COMPUTING AND OPTICAL LATTICES: [1] D. Jaksch, H.-J. Briegel, J. I. Cirac, C. W. Gardiner, and P. Zoller, Phys. Rev. Lett. 82, 1975 (1999).

[2] D. Jaksch, J.I. Cirac, P. Zoller, S.L. Rolston, R. Cote, and M.D. Lukin, Phys. Rev. Lett. 85, 2208 (2000).

ELECTRONS ON LIQUID HELIUM AS QUBITS:

1. M.J.Lea, P.G.Frayne and Y.Mukharsky,Fortshritte der Physik, 48 (2000), 1109 - 1124. Could we compute with electrons on helium?

2. Quantum Physics, abstract quant-ph/0111029 From: Ismail Karakurt [view email] Date: Mon, 5 Nov 2001 21:02:00 GMT (170kb) Using Electrons on Liquid Helium for Quantum Computing Authors: A.J. Dahm, J.M. Goodkind, I. Karakurt, S. Pilla

3. Qubits with electrons on liquid helium, M. I. Dykman,1,* P. M. Platzman,2 and P. Seddighrad1PHYSICAL REVIEW B 67, 155402 ~2003!

Wednesday 11-12 in 361 Birge

crommie@physics

Tuesday 3-4 in 671 Soda

vazirani@cs

Office Hours: Thursday 3-4 in 307 Birge

Section: Monday 12-1 in 310 Soda

klmoore@socrates

Office Hours: Thursday 4-5 in 711 Soda alcove

Section: Monday 11-12 in 310 Soda

dpreda@eecs

- Los Alamos archive of papers and preprints on Quantum Mechanics and Quantum Computation: link
- John Preskill's Quantum Computation course at Caltech: link
- Umesh Vazirani's Quantum Computation course at UC Berkeley: link
- Daniel Lidar's page of teaching links for Quantum Mechanics and Quantum Computation: link

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**

- Nielsen and Chuang,
__Quantum Computation and Quantum Information__

An encyclopedic reference.

- Pittenger, Arthur O.
__An introduction to Quantum Computing Algorithms__

Elementary introduction to algorithms. - Lo, Popescu and Spiller,
__Introduction to Quantum Computation and Information__

Introductory review chapters to basic concepts and tools. - Kitaev, Shen and Vyalyi,
__Classical and Quantum Computation__

Thorough treatment.

**Mathematical background**

- Strang, Gilbert.
__Linear Algebra and Its Applications__

Good review of matrix theory and applications. - Jordan, Thomas F.
__Linear operators for Quantum Mechanics__

Thorough presentation of operators and mathematical structure.

**On quantum mechanics in general**

- Feynman, Richard P.
__The Feynman Lectures on Physics__, volume 3

A famous introduction to undergraduate physics. Good section on 2-state systems. - Griffiths, David J.
__Quantum Mechanics__

Very clear explanations, doesn't cover everything. - Liboff, Richard L.
__Introductory Quantum Mechanics__

Good coverage, explanations medium. See Ch. 16 in the new (4th) edition for intro. to Quantum Computing. - Baym, Gordon.
__Lectures on Quantum Mechanics__

Graduate level textbook. Very clear exposition of the physics. - Feynman, Richard.
__QED__

Nice leisure reading.