ECE 227/ PHY 272

Quantum Information Science

Spring 2009
Instructor: Jungsang Kim
Course Objective

Quantum Information Science will focus on the fundamental and key novel concepts in the field as a solid introduction to this research area. The course will cover important novel concepts in utilizing quantum resources for information processing, and the novel application they enable. The course will also attempt to cover some engineering aspect of quantum information science, an area where little attention has been paid from educational perspective at other academic institutions. The course should set up a strong basis for future researchers in this field to conduct their research.


Class Location and Hours


Time: Wednesday and Friday at 1:15 pm - 2:30 pm

Location: Hudson 207

Contacting the Instructor outside Classroom

If you need to contact the professor outside the class, please email him or come to his office hours:

Professor Jungsang Kim

Office: 2519 FCIEMAS

Office Hours: Monday 2-3pm, Thursday 2-3pm

Email: jungsang at ee.duke.edu

Teaching Assistants and Staff

I might be traveling quite a bit during the semester, and may miss office hours. In that case, Dr. Taehyun Kim will be available to fill in for my office hours. He can be reached at

Dr. Taehyun Kim

Office: 3577 CIEMAS
Email: taehyun.kim at duke.edu

The grading of homeworks and exams will be done by the class TA
Caleb Knoernschild
Office: 2523 FCIEMAS
Email: caleb.k at duke.edu

Required Textbook
M. A. Nielsen and I. L. Chuang, Quantnm Computation and Quantum Information, Cambridge University Press, 2000.

Assignments and Grading
This course will require reading from the textbook, homework assignments, and two mid-term exams and one final project.

The grades will be based on:

Homework assignments are required to get familiar with the mathematical tools used for the remainder of the coursework. You will not be effective in following the course if you do not do your homeworks in time.
Make sure you work on your homework assignments by the due date: otherwise you will have trouble understanding the material that follow!!
Mid-Term exams will be either in-class or take-home exams (I will decide as we go).
Final project will be a topic chosen from physical implementation of quantum computers (or, logic gates), or on an advanced topic related to quantum information science.

Academic Misconduct:  The goal of this course is to learn exciting topic, and academic misconduct will not get us there. The course is designed to have little room for academically dishonest behavior. I will not tolerate any academically dishonest behavior: you will be directly reported to the judiciary committee. If you are not sure about what is an acceptable academic behavior, please do not hesitate to come and talk to me!!

Topics, Lecture Notes, and Reading Assignments

I will post lecture notes (in PDF format) shortly before I cover them in class for your reference.

Date
Topic Reading Assignments
Jan 9, 2009
Course Introduction
Lecture Notes #1
Chapter 1
Jan 14, 2009
Review of Quantum Mechanics
Lecture Notes #2
Chapter 2
Jan 16, 2009
Review of Quantum Mechanics
Chapter 2
Jan 21, 2009
Review of Quantum Mechanics
Chapter 2
Jan 23, 2009
Review of Computer Science
Lecture Notes #3
Chapter 3

Jan 28, 2009
Introduction to Quantum Circuits
Lecture Notes #4
Chapter 4
Jan 30, 2009
Quantum Circuits
Universality Proof Notes
Chapter 4
Feb 4, 2009
Quantum Circuits and Universality Proof
Chapter 4
Feb 6, 2009
Quantum Algorithms: Quantum Fourier Transform
Lecture Notes #5
Chapter 5
Feb 11, 2009
Quantum Algoritms: Quantum Fourier Transform and Factoring
Chapter 5
Feb 13, 2009
Quantuntum Algorithms: Quantum Fourier Transform and Quantum Search
Lecture Notes #6
Chapter 5 and Chapter 6
Feb 15, 2009
(Sunday at 6pm)
Quantum Algorithms: Quantum Search
Make-up class for 2/18/2009
Chapter 6
Feb 20, 2009
Mid-Term Exam #1

Feb 25, 2009
Quantum Noise and Quantum Operations
Lecture Notes #7
Chapter 8
Feb 27, 2009
No Class (will make up)

Mar 4, 2009
Quantum Operations
Chapter 8
Mar 6, 2009
Distance Measures in Quantum Information
Lecture Notes #8
Chapter 9

Mar 18, 2009
Classical Error Correction
Lecture Notes #9
Chapter 10
Mar 20, 2009
Classical Error Correction
Quantum Error Correction
Lecture Notes #10
Chapter 10
Mar 25, 2009
Quantum Error Correction
Quantum Error Correcting Condition
Chapter 10
Mar 27, 2009
Quantum Error Correction
Chapter 10
Apr 1, 2009
Quantum Error Correction
Fault Tolerant Quantum Computation
Lecture Notes #11
Chapter 10
Apr 3, 2009
Fault Tolerant Quantum Computation
Stabilizer Formalism
Lecture Notes #12
Chapter 10
Apr 8, 2009
Fault Tolerant Quantum Computation
Stabilzer Formalism
Chapter 10
Apr 10, 2009
Architectural Issues in Quantum Computation
Lecture Notes #13

Apr 17, 2009
Architectural Issues in Quantum Computation
Quantum Communication
Lecture Notes #14

Apr 22, 2009
Quantum Communication
Chapter 12
Homework Assignments
Homework #1, Due in Class, 1/23/2009
Homework #2, Due in Class, 2/11/2009
Homework #3, Due in Class, 2/25/2009
Homework #4, Due in Class, 3/20/2009
Homework #5, Due in Class, 4/3/2009
Homework #6, Due in Class, 4/17/2009

Tentative Schedule

This is a tentative topics we intend to cover in class. This will be updated as the changes arise.

Week starting

Wednesday

Friday

Jan 5

No Class

Introduction to Quantum Information Science (Chapter 1)

Jan 12 Review of Quantum Mechanics (Chapter 2)
Review of Quantum Mechanics (Chapter 2)
Jan 19
Review of Quantum Mechanics (Chapter 2) Brief Review of topics in Computer Science (Chapter 3)
Jan 26
Introduction to Quantum Circuits (Chapter 4) Quantum Circuits (Chapter 4)
Feb 2
Quantum Circuits & Universality Theorem (Chapter 4) Quantum Algorithms: Quantum Fourier Transform (Chapter 5)
Feb 9
Quantum Fourier Transform (Chapter 5)

Quantum Algorithms: Quantum Search (Chapter 6)

Feb 16

Quantum Search Algorithm (Chapter 6)-Make up on 2/15

Mid-Term Exam #1

Feb 23
Quantum Noise and Quantum Operations (Chapter 8) No Class
Mar 2
Quantum Noise and Quantum Operations (Chapter 8) Distance Measures in Quantum Information (Chapter 9)
Mar 9

SPRING BREAK

Mar 16
Classical Error Correction/
Quantum Error Correction (Chapter 10)
Quantum Error Correction (Chapter 10)
Mar 23
Quantum Error Correction (Chapter 10) Quantum Error Correction (Chapter 10)
Mar 30
Fault Tolerant Quantum Computation (Chapter 10) Fault Tolerant Quantum Computation (Chapter 10)
Apr 6
Fault Tolerant Quantum Computation (Chapter 10) Architectural Issues in Quantum Computation
Apr 13
Mid-Term Exam 2 Quantum Cryptography (Chapter 12)
Apr 20 Quantum Repeaters and Quantum Networks No Class
Apr 27

Final Project Report due Saturday 4/25, 10:00 am


Mid-Term Exam  #1
Mid-term Exam #1 will be held on Friday 2/20, 1:15-2:30 pm. The topics covered in Chapter 1-6 will be the content of the exam. It will be a closed-book, 75 min in-class exam. You will not be allowed to use any references or calculation tools. There will only be simple matrix calculations, and complicated formulas, if necessary, will be provided in the exam. However, you are expected to remember basic formulas and definitions widely used in the class or homeworks.

To help you prepare for the exam, I have generated solutions to Problem Set #2 to be picked up for those who are interested. You can pick them up from Ms. Leah Goldsmith (FCIEMAS 2535, leah@ee.duke.edu, (919) 660-5595) until Friday 2/20.
Good luck to everyone!!

2/24/2009
Mid-term Exam grades are out. The class did quite a bit better than I expected (as I mentioned in the class, I was shooting for the class average of about 50): here are some statistics

Average: 66.7
Standard Deviation: 17.9
Median Score: 71
Spread (max-min): 58

The mid-term grades have been entered into the STORM system. This grade only reflects the mid-term exam, and not the homeworks yet. Recall this accounts for only 20% of the overall grade, so hope you stay engaged in the rest of the semester!!


Mid-Term Exam  #2
Mid-term Exam #2 will be held on Wednesday 4/15, 1:15-2:30 pm. The topics covered in Chapter 8-10 will be the content of the exam. I expect to complete the coverage of these topics by the first week of April (it may spill over into the second week, but we should definitely be done at least one week before the exam). Like the first mid-term, it will be a closed-book, 75 min in-class exam. You will not be allowed to use any references or calculation tools. Complicated formulas, if necessary, will be provided in the exam. However, you are expected to remember basic formulas and definitions widely used in the class or homeworks. Feel free to ask questions during class or office hours regarding the mid-term exam.

Update on 4/13/09
I have completed generating the problems for the mid-term exam. I estimate that this exam might take a little bit more time than the first one, so I will have you discuss with the TA at the beginning of the exam if you would like to utilize an extra 10 minutes for the exam (85  min exam, from 1:15-2:40pm). You will have an opportunity to agree, as a whole class, with the TA before the exam starts whether you want the extra 10 minutes. Good luck with your second mid-term exam!!


4/22/2009
2nd Mid-term Exam has been graded. As I mentioned in the class, this exam was designed to be quite a bit more challenging than the first one. Compared to my expectations, I think the class has done reasonably well. It was a difficult exam, so I hope you don't get too discouraged. You still have a final project left, which will account for as much as both mid-term exams combined!! Here are some statistics

Average: 44
Standard Deviation: 17.8
Median Score: 43
Spread (max-min): 84

I will give out the graded exams today after class. If you have any questions or concerns, make sure that you raise those before Friday 4/24. Good luck with your final report!!

Final Project: Format, Topic Selection and Guidelines
The final project will be due on Saturday, 4/25 at 7 pm. I will be traveling starting Sunday 4/26, so if it is not turned in by Saturday, I will not have it with me to grade them. Make sure you have it completed by then!!
Here is the proposed schedule for the final project:

Topic selection for your project, due Friday 4/10/2009
Schedule an individual discussion session (<10 min) with me to discuss your topic selection, 3/30-4/10/2009
Final project report: 10-page term paper, due on Saturday 4/25, 10 am

The content of the Final Project Report is your report that shows a detailed understanding of a contemporary topic (of your choice) in quantum information science. I am posting some suggested topics below, but you are not obligated to choose a topic in this list. If you have any specific interest and would like to get some help in finding the proper references to get started, I would be more than glad to help you with the process.

I expect you to read one or two research publications either in journal publications or in the preprint archive (http://arxiv.org/archive/quant-ph), and explain the problem in your own words. You must list in the beginning of your report the published work you are working with. You must demonstrate your understanding of the problem rather than summarize the content of the paper. If your term paper is a mere "re-phrasing" or paraphrasing of the published work, you will receive no credit for the final project.

Your Final Project Report should be no more than 10 pages long in 12-point font. Your Report will be graded with the following criteria in mind: (1) depth of understanding in the topic, (2) level of effort you have exerted in understanding the topic, (3) originality of your analysis on the topic, and (4) organization and clarity in the description of your report.

5/2/2009
The final project results and final grades are done. I used following metric for grading the exam:

(1) Understanding (0-25 points): I tried to evaluate (a) the depth of understanding for the content of the paper you chose to work on, and (b) the accuracy of your understanding expressed in the report, for both the generic quantum information content covered in class and the content of the paper of choice.
(2) Effort (0-25 points): I tried to gauge the level of effort you have put in to preparing the final report. This includes the amount of background reading, your efforts in understanding and reproducing the contents of the paper, etc. Although I cannot gauge the amount of time you actually spent working on the project, I was able to get a good idea on the level of effort you put into the project reading all 19 reports.
(3) Originality (0-25 points): This is based on your original contribution to the project reflected on your report. The accuracy or relevance of the original contribution was not as heavily judged as much as your attempt to provide your original viewpoint on this category (the accuracy was reflected in (1)). The idea is to train you to look at these papers with a critical viewpoint: not all articles published are necessarily correct, and therefore you should always read them as a reference. It is ultimately your responsibility to verify and absorb the content of the papers you read, and this can only be done by your original interpretation of the results. I tried to guage your level of effort in attempting such interpretation.
(4) Report (0-25 points): This is based on the quality of the writeup you turned in. I did not evaluate this based on the fluency of English nor presence of typos. I evaluated the overall organization and logic of your writeup, effectiveness of your delivery in the technical content.

The grades are assigned to each category using a 5-point scale, i.e., 0,5,10,15,20 or 25 points. All of these assessments are purely my subjective viewpoint, but I think I have done a fair job comparing across all 19 reports that were submitted. I have also tried to provide comments where I thought would be helpful to you.

Overall, the class has done pretty well given my tight standards, and I am happy with your performance. If you are interested, you will be able to pick up the graded final report from Caleb starting Monday (5/4). Here are some statistics of the final project scores:

Average: 59
Standard Deviation: 19.1
Median Score: 60
Spread (max-min): 70

I hope you enjoyed the class, and hope all of you have a great summer!

Suggested Topics for Final Project
1. Physical Systems for Quantum Information Processing
Physical Systems
References
Assigned to
Basic Ion Traps
Cirac, J.I. and P.Zoller, “Quantum computations with cold trapped ions,” Physical Review Letters 74, 4091–4094 (1995)
Monroe, C., D.M.Meekhof, B.E.King, W.M.Itano, and D.J.Wineland, “Demonstration of a fundamental quantum logic gate,” Physical Review Letters 75, 4714–4717 (1995)
Joseph Ryu
Advanced Ion Traps
Leibfried, D., B.DeMarco, V.Meyer, D.Lucas, M.Barrett, J.Britton, W.M.Itano,
B.Jelenkovic, C.Langer, T.Rosenband, and D.J.Wineland, “Experimental demonstration of a robust, high-fidelity geometric two ion-qubit phase gate,” Nature 422, 412–415 (2003).
Kielpinski, D., C.Monroe, and D.J.Wineland, “Architecture for a large-scale ion-trap quantum computer,” Nature 417, 709–711 (2002).

Linear Optics (photons)
Knill, E., R.Laflamme and G.J.Milburn, “A scheme for efficient quantum computation with linear optics,” Nature 409, 46–52 (2001).
R. Prevedel, P. Walther, F. Tiefenbacher, P. Bohi, R. Kaltenbaek, T. Jennewein, and A. Zeilinger,  “High-speed linear optics quantum computing using active feed-forward,” Nature 445, 65 (2007).
Dan Gaultney
Liquid Phase NMR Gershenfeld, N. and I.L.Chuang, “Bulk spin-resonance quantum computation,” Science 275, 350–356 (1997).
Vandersypen, L.M.K., M.Steffen, G.Breyta, C.S.Yannoni, M.H.Sherwood, and
I.L.Chuang, “Experimental realization of Shor's quantum factoring algorithm using
nuclear magnetic resonance
,” Nature 414, 883–887 (2001).

Solid State NMR Kane, B.E.,“A silicon-based nuclear spin quantum computer,” Nature 393, 133–137 (1998).
S. R. Schofield, N. J. Curson, M. Y. Simmons, F. J. Ruess, T. Hallam, L. Oberbeck, and R. G. Clark, "Atomically precise placement of single dopants in Si", Physical Review Letters 91, 136104 (2003).
Congwen Yi
Quantum Dots
D.P.DiVincenzo, D. Bacon, J. Kempe, G. Burkard, and K. B. Whaley “Universal quantum computation with the exchange interaction,” Nature 408, 339-342 (2000).
J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson, A.C. Gossard, "Preparing, manipulating, and measuring quantum states on a chip", Physica E35, 251-256 (2006).
Dong Liu
Superconducting Systems
Y.A.Pashkin, T. Yamamoto, O. Astafiev, Y. Nakamura, D. V. Averin, and J.S.Tsai, “Quantum oscillations in two coupled charge bits,” Nature 421, 823-826 (2003).
S. O. Valenzuela, W. D. Oliver, D. M Berns, K. K. Berggren, L. S. Levitov, and T. P. Orlando, “Microwave-induced cooling of a superconducting qubit,” Science 314, 1589-1592 (2006).

Cavity QED
Turchette, Q.A., C.J.Hood, W.Lange, H.Mabuchi, and H.J.Kimble, “Measurement of Conditional Phase-Shifts for Quantum Logic,” Physical Review Letters 75, 4710–4713 (1995).
Rauschenbeutel, A., G.Nogues, S.Osnaghi, P.Bertet, M.Brune, J.M.Raimond, and
S.Haroche, “Coherent operation of a tunable quantum phase gate in cavity QED,” Physical Review Letters 83, 5166–5169 (1999).
Rachel Noek
Atom Traps
M. Saffman and T. G. Walker, “Analysis of a quantum logic device based on dipole-dipole interactions of optically trapped Rydberg atoms,” Physical Review A 72, 22347 (2005).
J. V. Porto, S. Rolston, B. Laburthe Rolra, C. J. Williams, and W. D. Phillips, “Quantum information with neutral atoms as qubits,” Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 361, 1417-1427 (2003).
Yunhui Zhu
N-V Spectral Holes
M. S. Shahriar, P. R. Hemmer, S. Lloyd, P. S. Bhatia, and A. E. Craig, "Solid-state quantum computing using spectral holes," Phy. Rev. A 66, 032301 (2002).
L. Childress, M. V. Gurudev Dutt, J. M. Tayor, A. S. Zibrov, F. Jelezko, J. Wrachtrup, P. R. Hemmer, and M. D. Lukin, "Coherent dynamics of coupled electron and nuclear spin qubits in diamond," Science 314, 281-285 (2006).
Aleks Klimas

2. Advanced Topics in Quantum Information Science
Potential Topics
References

Experiments on Quantum Entanglement and their Manipulation
P. G. Kwiat et al., "Experimental entanglement distillation and 'hidden' non-locality", Nature 409, 1014 (2001).
J.-W. Pan et al., "Entanglement purification for quantum communication", Nature 410, 1067 (2001).
T. Jennewein et al., "Experimental nonlocality proof of quantum teleportation and entanglement swapping", Phys. Rev. Lett. 88, 017903 (2002)
Yu-Ju Tsai
Schemes for Quantum Communication Networks
A. Kuzmich et al., "Generation of nonclassical photon pairs for scalable quantum communication with atomic ensembles", Nature 423, 731 (2003).
L.-M. Duan et al., "Scalable photonic quantum computation through cavity-assisted interactions", Phys. Rev. Lett. 92, 127902 (2004)
Max Thayer
Quantum Repeaters
H.-J. Briegel et al., "Quantum Repeaters: the role of imperfect local operations in quantum communication", Phys. Rev. Lett. 81, p 5932 (1998).
L.-M. Duan et al., "Long-distance quantum communication with atomic ensembles and linear optics", Nature 414, pp 413 (2001).

Advanced Quantum Cryptography Systems
G. A. Barbosa et al., "Secure communication using mesoscopic coherent states", Phys. Rev. Lett. 90, 227901 (2003).
E. Condorf et al., "Data encryption over an inline-amplified 200km-long WDM line using coherent-state quantum cryptography", Proc. SPIE 5436, 12 (2004).
H. P. Yuen, "KCQ: A new approach to quantum cryptography I. General principles and key generation", Preprint, quant-ph/0311061 (2004).
Donny Lee
Quantum Cryptography using Continuous Variables
T. C. Ralph, "Security of continuous-variable quantum cryptography", Phys. Rev. A 62, 062306 (2000).
F. Grosshans et al., "Quantum key distribution using gaussian-modulated coherent states", Nature 421, 238 (2003).

Cluster Approach to Quantum Computation
R. Raussendorf and H. J. Briegel, "A one-way quantum computer", Phys. Rev. Lett. 86, 5188 (2001).
M. A. Nielson, "Optical quantum computation using cluster states", Phys. Rev. Lett. 93, 040503 (2004).
R. Prevedel et al., "High-speed linear optics quantum computing using active feed-forward", Nature 445, 65 (2007).
Mark Steadman
Theory and Practice on Fault-tolerant Quantum Computation
D. Gottesman, "Theory of fault-tolerant quantum computation", Phys. Rev. A 57, 127 (1998).
A. M. Steane, "Efficient fault-tolerant quantum computing", Nature 399, 124 (1999).
E. Knill, "Quantum computing with realistically noisy devices", Nature 434, 39 (2005).

Advances in Ion Trap Quantum Computation Experiments
M. Riebe et al., "Deterministic quantum teleportation with atoms", Nature 429, 734 (2004).
M. D. Barrett et al., "Deterministic quantum teleportation of atomic qubits", Nature 429, 737 (2004).
J. Chiaverini et al., "Realization of quantum error correction", Nature  432, 602 (2004).
Justin Migacz
Ion-Photon Entanglement Schemes
D. L. Moehring et al., "Entanglement of single-atom quantum bits at a distance", Nature 449, 68 (2007).
S. Olmschenk et al., "Quantum teleportation between distant matter qubits", Science 323, 486 (2009).
Crystal Senko
Architectures for silicon quantum computation
D. Copsey et al., "Toward a scalable, silicon-based quantum computing architecture", IEEE Journal of Selected Topics in Quantum Electronics, v9 (6), 1552 (2003).
M. Whitney, Y. Patel, N. Isailovic, and J. Kubiatowicz, "Can we build classical control circuits for silicon quantum computers?", 2nd Workshop on Non-Silicon Computation (NSC-2) in conjunction witht he 30th International Symposium on Computer Architecture, pp33 (2003).

Quantum Computer Architectures
N. Isailovic et al., "Interconnection networks for scalable quantum computers", Proceedings of the 33rd Internationa Symposium on Computer Architecture (ISCA2006)
R. van Meter et al., "Arithmetic on a distributed-memory quantum multicomputer", ACM J. on Emerging Technologies in Computing Systems 3 (2008).
Abhijit Mehta