ECE 227/ PHY 272

Quantum Information Science

Spring 2011
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: Monday and Wednesday at 10:05 am -11:20 am

Location: Hudson 201

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 11:30am-12:20pm
                        Wednesday 3-4pm

Email: jungsang at duke.edu

Teaching Assistant

The class TA is
Rachel Noek
Office: 2523 FCIEMAS
Email: rachel.noek 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 Lecture Audio Files
Jan 12, 2011
Course Introduction
Lecture Notes #1
Chapter 1
Jan 19, 2011
Introduction to Quantum Information
Review of Quantum Mechanics
Lecture Notes #2
Chapter 2
Lecture2.mp3
Jan 24, 2011
Review of Quantum Mechanics
Chapter 2
Distinguishability and No-cloning Theorem
Lecture3.mp3
Jan 26, 2011
No class, make-up class on Friday 1/28


Jan 28, 2011
Review of Quantum Mechanics
Chapter 2
Lecture4.mp3
Jan 31, 2011
Review of Quantum Mechanics
Chapter 2
Lecture5.mp3
Feb 2, 2011
Brief Review of Computer Science
Lecture Notes #3
Chapter 3
Lecture6.mp3
Feb 7, 2011
Introduction to Quantum Circuits
Lecture Notes #4
Chapter 4
Lecture7.mp3
Feb 9, 2011
Quantum Circuits
Universality Proof
Chapter 4
Lecture8.mp3
Feb 14, 2011
Quantum Circuits: Universality Proof
Chapter 4
Lecture9.mp3
Feb 16, 2011
No class, make-up class on Friday 2/25


Feb 21, 2011
Quantum Algorithms: Quantum Fourier Transform
Lecture Notes #5
Chapter 5
Lecture10.mp3
Feb 23, 2011
Quantum Fourier Transform
Chapter 5
Lecture11.mp3
Feb 25, 2011
Quantum Fourier Transform
Chapter 5
Lecture12.mp3
Feb 28,2011
Quantum Search
Lecture Notes #6
Chapter 6 Lecture13.mp3
Mar 2, 2011
Physical Systems
Lecture Notes #7
Quantum Noise and Quantum Operations
Lecture Notes #8
Chapter 7
Chapter 8
Lecture14.mp3
Mar 7,9
Spring Break: No Class


Mar 14, 2011
Quantum Noise and Quantum Operations
Chapter 8
Lecture15.mp3
Mar 18, 2011
Quantum Noise and Quantum Operations
Chapter 8
Lecture16.mp3
Mar18, 2011
Distance Measures in Quantum Mechanics
Lecture Notes #9
Classical Error Correction
Lecture Notes #10
Chapter 9
Chapter 10
Lecture17.mp3
Mar 21, 2011
No class (Make-up on 3/18)


Mar 23, 2011
Classical Error Correction
Chapter 10
Lecture18.mp3
Mar 28, 2011
Quantum Error Correction
Lecture Notes #11-Rev
Chapter 10 Lecture19.mp3
Mar 30, 2011
Quantum Error Correction
Quantum Error Correction Condition
Chapter 10
Lecture20.mp3
Apr 4, 2011
Quantum Error Correction
Chapter 10
Lecture21.mp3
Apr 6, 2011
No Class (Make-up on 4/8)


Apr 8, 2011
Quantum Error Correction
Chapter 10
Lecture22.mp3
Apr 11, 2011
Quantum Error Correction
Chapter 10
Lecture23.mp3
Apr 13, 2011
No Class (Make-up on 4/15)


Apr 15, 2011
Fault Tolerant Quantum Computation
Lecture Notes #12
Fault-tolerant Toffoli Gate
Chapter 10
Lecture24.mp3
Apr 18, 2011
Quantum Cryptography
Lecture Notes #13
Chapter 12
Lecture25.mp3
Apr 20, 2011
Quantum Cryptography
Chapter 12
Lecture26.mp3
Homework Assignments
Homework #1: Due In Class 1/31/2011 : Get yourself familiar with linear algebra and vector spaces!!
Homework #2: Due In Class 2/9/2011
Homework #3: Due In Class 2/23/2011
Homework #4: Due In Class 3/28/2011
Homework #5-Rev: Due In Class 4/11/2011: Revised 4/4/2011

Tentative Schedule

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

Week starting

Monday

Wednesday

Jan 10

No Class

Introduction to Quantum Information Science (Chapter 1)

Jan 17 No Class
Review of Quantum Mechanics (Chapter 2)
Jan 24
Review of Quantum Mechanics (Chapter 2) Review of Quantum Mechanics (Chapter 2)
Jan 31
Review of Quantum Mechanics (Chapter 2) Brief Review of topics in Computer Science (Chapter 3)
Feb 7
Introduction to Quantum Circuits (Chapter 4) Quantum Circuits (Chapter 4)
Feb 14
Quantum Circuits & Universality Theorem (Chapter 4)

Quantum Algorithms: Quantum Fourier Transform (Chapter 5)

Feb 21

Quantum Fourier Transform (Chapter 5)

Quantum Algorithms: Quantum Search (Chapter 6)

Feb 28
Quantum Search Algorithm (Chapter 6) Quantum Noise and Quantum Operations (Chapter 8)
Mar 7
Spring Break
Mar 14
Quantum Noise and Quantum Operations (Chapter 8) Distance Measures in Quantum Information (Chapter 9)
Mar 21
Classical Error Correction Classical Error Correction (Chapter 10)
Mar 28
Quantum Error Correction (Chapter 10) Quantum Error Correction (Chapter 10)
Apr 4
Quantum Error Correction (Chapter 10) Quantum Error Correction (Chapter 10)
Apr 11
Quantum Error Correction (Chapter 10) Fault Tolerant Quantum Computation (Chapter 10)
Apr 18
Quantum Cryptography (Chapter 12) Quantum Cryptography (Chapter 12)
Apr 25 Final Projects Final Projects
May 2

Final Project Report due Monday 5/2, 5:00 pm


Mid-Term Exam Info
The first mid-term exam will be posted on Wednesday, 2/23/2011 and will be due on Friday 3/4/2011. It will be take-home exam. Here are some ground rules for the mid-term exam:

1. The problems will be generated from content covering the Introduction, Quantum Mechanics Review, Computer Science Review, Quantum Circuits, and Quantum Algorithms (Quantum Fourier Transform and Quantum Search).
2. The mid-term exam will be take-home and open-book. However, you will only be allowed to reference the lecture notes and textbook (Nielsen and Chuang), and no other material (such as other textbooks, published/unpublished papers, internet, etc.).
3. The exam will be posted on the class website right after the office hour on Wednesday 2/23. You will not be able to come to office hours to ask questions about the exam. Questions regarding clarifications of the problems will be taken at any time, including class hours, office hours or via email. Any clarifications related to the problems raised by anyone will be posted on this website for everyone to view.
4. The exam will be due on Friday 3/4/2011 at 11am, sharp. I will be in my office on Friday morning (3/4) so you can drop off the exam solutions (or other arrangements will be made if that is not possible). You are welcome to turn in the exam early, any time before the due date.

Mid-term Exam 1-Rev1: Due Friday 3/4/2011 at 11 am EST in the instructor's office (FCIEMAS 2519).
2/25/2011: There has been a revision in Problem #3, to clarify the operation of the circuit as an in-place adder (i.e., the sum is stored in one of the locations of the input bit). This configuration is still reversible, while minimizing the use of ancilla bits.

Update 3/18/2011
The mid-term exam has been graded. The statistics are as follows:

Average = 80
Standard Deviation = 10.2
Spread = 42

===================================
The second mid-term exam will be posted on Tuesday, 4/12/2011 and will be due on Wednesday 4/20/2011. It will be take-home exam, and the general rules for the exam will be similar to the first one:

1. The problems will be generated from content covering Quantum Noise and Quantum Operations, Distance Measures in Quantum Information, Classical and Quantum Error Correction, and Fault Tolerant Quantum Computation.
2. The mid-term exam will be take-home and open-book. However, you will only be allowed to reference the lecture notes and textbook (Nielsen and Chuang), and no other material (such as other textbooks, published/unpublished papers, internet, etc.).
3. The exam will be posted on the class website before midnight on Tuesday 4/12/2011. You will not be able to come to office hours to ask questions about the exam. Questions regarding clarifications of the problems will be taken at any time, including class hours, office hours or via email. Any clarification questions resulting in a revision of the problem will be posted on this website, and an email notification will be sent.
4. The exam will be due before class on Wednesday 4/20/2011 at 10:05am, sharp. I will not be collecting your mid-term exams once the class starts on 4/20/2011. You are welcome to turn in the exam early, any time before the due date.
5. You are strictly required to work on the mid-term problem on your own, and are not allowed to discuss the problems and/or solutions with anyone else (either in the class or not). The instructor will be reading your solutions very closely during the grading. Any evidence of academic misconduct will be handled according to University procedures.

Mid-term Exam 2-Rev1: Due Wednesday 4/20/2011 at 10:05 am EDT in the classroom (Hudson 201).
4/18/2011: A typo was discovered in Problem 4b. In the very last statement, you should read "...the error considered in the problem above (4a)." instead of "(3a)". I apologize for the typo!

Update 5/3/2011
The mid-term exam has been graded. the statistics are as follows:

Average = 76
Standard Deviation = 20.5
Spread = 63

Final Project: Format, Topic Selection and Guidelines
The final project will be due on Monday 5/2 at 5 pm.

Here is the proposed schedule for the final project:

Topic selection for your project, due Friday 4/22/2011
Schedule an individual discussion session (<10 min) with me to discuss your topic selection, before 4/22/2011. You are encouraged to utilize the office hours on Friday 4/15 11:30am-12:30pm, Monday 4/18 11:30am-12:30pm, and Wednesday 4/20 3-4pm.

Final project report: 10-page term paper, due on Monday 5/2, 5 pm

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 simply 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. Each of these criteria will account for roughly 25% of your grade for the final project.

The instructions are also summarized here.

Update 5/4/2011
Final grades have been calculated based on your performance on homeworks, mid-term exams, and final project. The grade assignment band was as follows:

90 and up: A+
85 and up / below 90: A
80 and up / below 85: A-
75 and up / below 80: B+
70 and up / below 75: B
60 and up / below 70: B-
50 and up / below 60: C+

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)
Ken
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).
Emily
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).
Karthik
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).
Mark
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).

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).
Hao
Optical Quantum Dots
E. Waks and J. Vuckovic, "Dipole induced transparency in drop-filter cavity-waveguide systems", Phys. Rev. Lett. 96, 153601 (2006).
D. Englund, A. Faraon, I. Fushman, N. Stoltz, P. Petroff, and J. Vuckovic, "Controlling cavity reflectivity with a single quantum dot", Nature 450, 857 (2007).
Ma
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).

Circuit QED
J. Majer, J. M. Chow, J. M. Gambetta, Jens Koch, B. R. Johnson, J. A. Schreier, L. Frunzio, D. I. Schuster, A. A. Houck, A. Wallraff, A. Blais, M. H. Devoret, S. M. Girvin and R. J. Schoelkopf "Coupling superconducting qubits via a cavity bus," Nature (London) 449, 443 (2007).
L. DiCarlo, J. M. Chow, J. M. Gambetta, Lev S. Bishop, B. R. Johnson, D. I. Schuster, J. Majer, A. Blais, L. Frunzio, S. M. Girvin and R. J. Schoelkopf, "Demonstration of two-qubit algorithms with a superconducting quantum processor," Nature 460, 240-244 (2009).

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).

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).

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).
M. V. Gurudev Dutt, L. Childress, J. Liang, E. Togan, J. Maze, F. Jelezko, A. S. Zibrov, P.R. Hemmer, M.D. Lukin, "Quantum Register Based on Individual Electronic and Nuclear Spin Qubits in Diamond", Science 316, 1312-1316 (2007).
Aakash

2. Advanced Topics in Quantum Information Science
Potential Topics
References
Assigned to
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)
Hannah
Experimental Quantum Teleportation with Photons
D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, "Experimental quantum teleportation", Nature 390, 575 (1997).
A. Furusawa, J. L. Sorensen, S. L. Braunstein, C. A. Fuchs, H. J. Kimble, and E. S. Polzik, "Unconditional quantum teleportation", Science 282, 706 (1998).
Meizhen
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)

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).
Ryan
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).

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).

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).
Andre
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).

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).
Stephen
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).

Adiabatic Quantum Computation and Search

Ahsan
Quantum Games and Quantum Strategies
D. A. Meyer, "Quantum Strategies", Phys. Rev. Lett. 82, 1052 (1999).
J. Eisert, M. Wilkens, and M. Lewenstein, "Quantum Games and Quantum Strategies", Phys. Rev. Lett. 83, 3077 (1999).
Siyang