Website address: http://insti.physics.sunysb.edu/~twei/Courses/Fall2022/PHY568/

Lecture time: 1-2:20PM Monday & Wednesday, in person at Melville Library W4535

Instructor: Tzu-Chieh Wei <tzu-chieh.wei[at]stonybrook[dot]edu> Office Phone: 631-632-7966

TA: Hongye Yu <hongye.yu[at]stonybrook[dot]edu>

Office hours: (Zoom based) Thursday 4:30 to 5:30pm and Friday 1 to 2pm (beginning from the second week)

Technical and Software Requirement: Zoom meeting will be used for office hours. Internet is needed. Microphone needed to participate verbally.

(a) The best way to communicate with the instructor is to attend the weekly office hour, the next is (b) to email the instructor (you may expect an aswer about 24-48 hours)

Qualification of the instructor: (1) He has ample research experience in Quantum Information Science since when he was a PhD student, and has supervised a few PhD students, master students, and undergraduate students on related research projects. See the publication list here.

(2) He is constantly motivated to improve his teaching skills and recently completed a 5-week Online Teaching Workshop held by CELT, Stony Brook and obtained an electronic badge for that: Online Teaching Certificate (OTC): Summer 2021 (Stony Brook University).

(3) To keep updated with the fast evolving design of the quantum programming software, the instructor was also diligent in attending IBM Qiskit Summer Schools and other events for the past two years so as to design up-to-date programming materials for this course. See the certificates and badges he earned:

1. IBM 2020 Qiskit Global Summer School: (a) Certificate of Participation and (b) Certificate of Quantum Excellence

2. IBM Quantum Challenge 2021

3. IBM 2021 Qiskit Global Summer School on Quantum Machine Learning

4. IBM Quantum Challenge - Fall 2021 - Advanced

5. IBM Quantum Spring Challange 2022 Achievement - Advanced

(4) He has been working on the creation of a Quantum Information Science and Technology Master's Program, which was recently approved by SUNY and NYSED in July 2022.. There are a few exciting new courses to be added. This course is one in the series and PHY 605 Quantum Programming is another. He aims to make Stony Brook University become a major contributor of Quantum-Ready Workforce that is highly demanded from academia, industries and national labs.

Course description:

This is a survey of the fast evolving field of quantum information, ranging from Bell inequality, quantum teleportation to quantum algorithms and quantum programming frameworks. It aims to cover the essential knowledge of quantum information science and helps to bridge the gap to the current research activities of the field. Some emphasis will be placed on solid-state platforms of quantum computers, topological error correction codes, and applications. Other systems will be introduced when necessary. Some illustration of quantum programming will be done on IBM's transmon-type cloud quantum computers.

Course level: senior undergraduates and beginning graduate students (Master/PhD); students from other departments such as Chemistry, Math, CS and Engineering who have learned linear algebra should find the course accessible. The materials covered in this course are interdisciplinary anyway. The required knowledge of quantum mechanics is also minimal, e.g. superposition, unitary evolution, and measurement described in the first chapter of a standard quantum mechanics textbook. But these will be reviewed in the first week as well. [Over the past two years in the precursor PHY682, there were students from Applied Math, CS & Mechanical Engineering, in addition to Physics. They were all doing better as the course progressed.]

For undergraduates: This course may be taken by upper-level undergraduates with Prerequisite: PHY 251 or Corequisite: PHY 308. It needs the permission and the signature of the instructor in order to register for this course; form can be downloaded here.

Breadth course or not (for Physics & Astronomy PhD students): this can count as a breadth course; if you have any question on the breadth courses, please consult the Graduate Program Director.

Quantum Education. There are two interesting papers regarding quantum education and workforce development:

arXiv:2006.16444 Preparing for the quantum revolution -- what is the role of higher education?

Michael F. J. Fox, Benjamin M. Zwickl, H. J. Lewandowski

arXiv:2108.01311 Building a Quantum Engineering Undergraduate Program

by Abraham Asfaw et al.

Learning outcomes:

Students who have completed this course

• Should be able to understand the physical principles of quantum computation and how quantum algorithms work such as Shor's factoring and Grover's searching

• Should be able to understand various frameworks of quantum computation, such as the standard circuit model, topological quantum computation, adiabatic quantum computation and measurement-based quantum computation.

• Should be able to understand the basics of information theory and their relation to statistical mechanics and quantum entanglement

• Should be able to understand the working principles of sold-state qubits and be able to perform simple programming on publicly available quantum computers such as IBM Q

Required Textbooks:

There is no required textbook. The instructor is working lecture notes and they will be provided when available (see below; current one file collection of notes is here).

[PHY568 is evolved uner PHY682 Special Topics in Solid-State Physics(Fall 2020 and Fall 2021) and now has its own course number and title;

Moreover: All the 25 lectures from PHY682 Fall 2020 are now available to watch online on YouTube; link to last year's website

Recommended Textbooks :

Quantum Computation and Quantum Information, M. Nielsen and I. Chuang (Cambridge University Press)

An Introduction to Quantum Computing, P. Kaye, R. Laflamme and M. Mosca (Oxford)

J. Preskill lecture notes (http://www.theory.caltech.edu/~preskill/ph229/#lecture)

The Feynman Lectures on Physics, Vol. 3 (which can be read online here)

Learn Quantum Computation using Qiskit (free digital textbook)

Cirq tutorial (from Cirq documentation)

Quantum Computing: An Applied Approach, Jack D. Hidary (Springer)

Online book by Andy Matuschak and Michael Nielsen on "Quantum computing for the very curious"

Math needed in this course:

e.g. The Mathematics of Quantum Mechanics by Dr. Martin Laforest (University of Waterloo)

Python Notebooks will be distributed to illustrate how to program quantum computers. Minimal prior programming experience is needed. We will learn from examples and you can modify and play with codes. The Qiskit book Learn Quantum Computation using Qiskit (free digital textbook) gives an extensive coverage. In PHY568 there will be only minimal quantum programming. Instead, there will be a new course PHY605 Quantum Programming that covers various aspects (to be offered in Spring 2023).

Grades: (tentative)

(1) Homework 50% [main purpose is to enhance understanding of lecture materials; will be posted as pdf on Brightspace]

(2) Participation 10% [(a) attendance of lectures is required; more importantly, this is to encourage active participation and learning; asking questions helps the instructor to clarify and in turn helps you and others to understand; sharing with others how you understand a particular concept is useful. (b) Office hours are encouraged to attend. (c) Brightspace discussion board is also encouraged to use]

(3) Mid-tern exam 15% [to gauge how your learning goes]

(4) Final presentation (for suggested topics/papers, see below) 25%

The letter grade assignment is based on: A (90-100), A- (85.01-89.99), B+ (80.01-85.00), B (75.01-80.00), B-(70.01-75.00), C+(65.01-70.00), C (60.01-65.00), C-(55.01-60.00), D+(50.01-55.00), D(45.01-50.00), Fail: 45 or below

Homework policy: no late homework (must be turned in on the due day by submitting it in Blackboard); exception must be requested two days or earlier before the deadline

Topics to be covered and tentative syllabus

(This is a tentative syllabus, based on last year's version. Due dates may change. Check later for update.)

[All the 25 lectures from Fall 2020 are now available to watch online on YouTube; link to last year's website]

Lectures will be given in person and the coverage of topics may differ from last year's.

The topics are still being updated; lecture notes can be downloaded by clicking the unit titles; current one file collection is here (file size can be large).

A Qiskit syllabus (see PHY682 version here) is also being developed

new: Unit 0: The appetizer of quantum behavior

Learning Units | Topics | Selected Learning Goals | Dates |

Unit 1: The history of Q | Review of Math, Basics of Quantum Principles, Concepts of qubits, gates and quantum algorithms | You'll be ready to embark on a QIS journey | 8/22, 8/24 |

Unit 2: From foundation to science-fiction teleportation | Bell inequality, teleportation of states and gates, entanglement swapping, remote state preparation, superdense coding, and superdense teleportation | You'll be able understand basic and important procotols of information processing | 8/29, 8/31 |

Unit 3: Information is physical | Superconducting qubits, solid-state spin qubits, photons, trapped ions, and topological qubits | You'll get to know various physical systems and candidates to realize qubits and quantum computers | 9/7, 9/12 |

Unit 4: Grinding gates in quantum computers | Quantum gates and circuit model of quantum computation, introduction to IBM's Qiskit, Grover's quantum search algorithm, amplitude amplification | You'll be able to understand what quantum computation is and specific quantum algorithm on searching | 9/14, 9/19 |

Unit 5: Programming through quantum clouds | Quantum programming on IBM's quantum computers, variational quantum eigensolver (VQE), quantum approximate optimization algorithm (QAOA) [will not focus too much on programming in Fall 2022] | You'll be able to modify example Python Notebooks to run variational quantum eigensolvers for applications | 9/21 |

Unit 6: Dealing with errors | Error models, Quantum error correction, topological stabilizer codes and topological phases (including fractons), error mitigations | You'll be able to understand why quantum information is fragile but quantum correction codes can be used to reduce error rates in logical qubits | 9/26, 9/28 |

Unit 7: Quantum computing by braiding & Unit 8: More topological please | Anyons and topological quantum computation, Fibonacci anyons, Majorana fermions, Kitaev's chain, toric/surface code | You'll be able to say what anyons are and how they can be used for quantum computing | 10/3, 10/5 |

Unit 9: Quantum computing by evolution and by measurement | Other
frameworks of quantum computation: adiabatic and measurement-based;
D-Wave’s quantum annealers |
You'll be able to understand alternative approaches for quantum computation | 10/12 |

Midterm | 10/17 | ||

Unit 9: Quantum computing by evolution and by measurement (continued) | 10/19 | ||

Unit 10: Quantum en-tangles | Entanglement of quantum states, entanglement of formation and distillation, entanglement entropy, Schmidt decomposition, majorization, quantum Shannon theory [This wiill be expanded in Fall 2022] | You'll be able to understand the basics of quantum information and entanglement theory | 10/24, 10/26, 10/31 |

Unit 11: No clones in quantum | No cloning of quantum states, non-orthogonal state discrimination, quantum tomographic tools, quantum cryptography: quantum key distribution from transmitting qubits and from shared entanglement | You'll be able to understand why no cloning actually helps to distribute secret keys | 11/2, 11/7 |

Unit 12: Show me your phase, Mr. Unitary | Quantum Fourier Transform, quantum phase estimation, Shor’s factoring algorithm, and quantum linear system (such as the HHL algorithm) | You'll be able to understand and apply one of the most important functions: Quantum Fourier Transform and algorithms: Quantum Phase Estimation. | 11/9, 11/14 |

Unit 13: The quantum Matrix | Quantum
simulations and quantum sensing and metrology |
You'll be able to get some glimpses to quantum simulations and sensing and metrology and to explain them | 11/16, 11/21 |

Students presentation | Topics to be chosen by students (in discussion with the instructor and among students in groups) | You'll be able to learn a specific topic and present it to the class | 11/28, 11/30, 12/5 & final exam day |

For basic linear algebra: see Laforest's online book, Chapter 2 of Kaye, Laflamme & Mosca (KLM), or Chapter 2 (2.1 to 2.2.3) of Nielsen and Chuang (N&C) including review of quantum mechanics needed in this course.

(week 1) [8/22,8/24] Unit 1 The history of Q: Overview of this course and review of linear algebra, basics of quantum mechanics, quantum bits and mixed states, taste of quantum algorithms.

suggested reading: N&C 1.2-1.4, 2.2, 2.4; KLM 1.4, 1.6, chapter 3, 6.2-6.4; Qiskit book (Qb) chapter 1, 2.1-2.3;

(week 2) [8/29,8/31] Unit 2 From foundation to science-fiction teleportation: Bell inequality, teleportation of states and gates, entanglement swapping, remote state preparation, superdense coding, and superdense teleportation.

suggested reading: N&C 2.3, 2.6; KLM chapter 5; Qb 3.1-3.5

further reading: Nonlocality beyond quantum mechanics, Sandu Popescu, http://www.nature.com/doifinder/10.1038/nphys2916

Genuine Quantum Nonlocality in the Triangle Network by Marc-Olivier Renou, Elisa Bäumer, Sadra Boreiri, Nicolas Brunner, Nicolas Gisin, and Salman Beigi, Phys. Rev. Lett. 123, 140401 (2019)

(week 3) [Labor Day no class on 9/5, class on 9/7] Unit 3 Information is physical---Physical systems for quantum information processing:

Superconducting qubits, solid-state spin qubits, photons, trapped ions, and topological qubits (p-wave superconductors, fractional quantum Hall systems, topological insulators, etc.)

suggested reading: N&C chap 7

Some refs for further reading:

Majorana zero mode and topological quantum computing, Das Sarma, Friedman and Nayak, npj Quantum 1, 15001 (2015)

Diamond NV centers for quantum computing and quantum networks, Childress and Hanson, MRS Bulletin 38, 134 (2013)

Quantum Control over Single Spins in Diamond, V.V. Dobrovitski, G.D. Fuchs, A.L. Falk, C. Santori, and D.D. Awschalom, Annual Review of Condensed Matter Physics 4, 23 (2013)

Quantum computing with neutral atoms, David S. Weiss, and Mark Saffman, Physics Today 70, 7, 44 (2017); doi: 10.1063/PT.3.3626

A quantum engineer's guide to superconducting qubits, P. Krantz , M. Kjaergaard , F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver, Appl. Phys. Rev. 6, 021318 (2019)

Superconducting Qubits and the Physics of Josephson Junctions, J. Martinis and K. Osborne, Les Houches Lecture Notes

Photonic quantum information processing: A concise review, Sergei Slussarenko and Geoff J. Pryde, Appl. Phys. Rev. 6, 041303 (2019)

Building logical qubits in a superconducting quantum computing system, Jay M. Gambetta, Jerry M. Chow & Matthias Steffen, npj Quantum Information volume 3, Article number: 2 (2017)

Co-designing a scalable quantum computer with trapped atomic ions, Kenneth R Brown, Jungsang Kim & Christopher Monroe, npj Quantum Information volume 2, Article number: 16034 (2016)

Engineering the quantum-classical interface of solid-state qubits, David J Reilly, npj Quantum Information volume 1, Article number: 15011 (2015)

A quantum engineer's guide to superconducting qubits, Appl. Phys. Rev. 6, 021318 (2019), P. Krantz, M. Kjaergaard, F. Yan, T. P. Orlando, S. Gustavsson, and W. D. Oliver

Single-qubit quantum memory exceeding ten-minute coherence time, Wang et al. Nature Photonics volume 11, pages646–650(2017)

(week 4) [9/12,9/14] Unit 3 Information is physical(continued) Unit 4 Grinding gates in quantum computers: Quantum gates and circuit model of quantum computation, introduction to IBM's Qiskit, Grover's quantum search algorithm, amplitude amplification.

Other circuit-model based quantum computers and their programming frameworks: Rigetti and Forest, Google and Cirq

(We focus on using Qiskit in this course)

For construction of quantun gates, there is a milestone paper worth reading:

"Elementary gates for quantum computation", Adriano Barenco, Charles H. Bennett, Richard Cleve, David P. DiVincenzo, Norman Margolus, Peter Shor, Tycho Sleator, John A. Smolin, and Harald Weinfurter,

Phys. Rev. A 52, 3457 (1995).

J. Zhang, J. Vala, S. Satry, K. B. Whaley, Exact Two-Qubit Universal Quantum Circuit, Phys. Rev. Lett. 91, 027903 (2003).

Bremner MJ, Dawson CM, Dodd JL, Gilchrist A, Harrow AW, Mortimer D, Nielsen MA, Osborne TJ, Practical scheme for quantum computation with any two-qubit entangling gate, Phys. Rev. Lett. 89, 247902 (2002)

suggested reading: N&C chap 4; KLM chap 4; Qb 1.4; 2.4, 2.5

(week 5) [9/19,9/21] Unit 4 Grinding gates in quantum computers: (continued) Unit 5 Programming through quantum clouds: Computational complexity, Quantum programming on IBM's superconducting quantum computers, including the use of the variational quantum eigensolver (VQE), quantum approximate optimization algorithm (QAOA) for optimization, hybrid classical-quantum neural network.

suggested reading: Qb chap 4;

(week 6) [9/26,9/28] Unit 6 Dealing with errors: Error models, Quantum error correction, error mitigations (brief discussions on topological stabilizer codes and topological phases).

suggested reading: N&C chap 10; KLM chapter 10; Qb chap 5.1-5.2

Useful references:

"An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation", Daniel Gottesman, arXiv:0904.2557

"Quantum Error Correction" by Todd Brun in Oxford Research Encyclopedia in Physics

"Key ideas in quantum error correction" by Robert Raussendorf, Phil. Trans. R. Soc. A (2012) 370, 4541–4565

doi:10.1098/rsta.2011.0494

(week 7) [10/3,10/5] Unit 7 Quantum computing by braiding: Toric code in more detail, Anyons and topological quantum computation, Fibonacci anyons, Majorana fermions, Kitaev's chain and Unit 8 More topological please: (The two units will be combined to one: Topological Quantum Computing)

Useful references:

Majorana zero modes and topological quantum computation, Sankar Das Sarma, Michael Freedman & Chetan Nayak, npj Quantum Information volume 1, Article number: 15001 (2015)

Kitaev & Laumann, arXiv:0904.2771

Kitaev, Anyons in an exactly solved model and beyond, Annals of Physics 321 (2006) 2–111

Simon Trebst, Matthias Troyer, Zhenghan Wang, Andreas W.W. Ludwig, A short introduction to Fibonacci anyon models, arXiv:0902.3275

Lahtinen & Pachos, A Short Introduction to Topological Quantum Computation, arxiv:1705.04103

Nayak et al. Rev. Mod. Phys. 80, 1083 (2008)

Fujii, arXiv:arXiv:1504.01444

(week 8) [10/10 Fall break, no class]

(week 9) [10/12,10/19] Unit 9 Quantum computing by evolution and by measurement: Other frameworks of quantum computation: adiabatic and measurement-based; D-Wave’s quantum annealers

[in-class midterm exam on 10/17]

Refs:

"Adiabatic Quantum Computing and Quantum Annealing" by Erica K. Grant and Travis S. Humble in Oxford Research Encyclopedia in Physics

"Measurement-Based Quantum Computation", an article I wrote for Oxford Research Encyclopedia of Physics, the article link is here.

D-Wave tutorials: https://www.dwavesys.com/resources/tutorials

For Blind quantum computation and related subjects, see a review by J. Fitzsimons

A series of recorded lectures by Prof. Robert Raussendorf on MBQC are here.

(week 10) [10/24,10/25] Unit 10 Quantum entangles: Entanglement of quantum states, entanglement of formation and distillation, entanglement entropy, Schmidt decomposition, majorization, quantum Shannon theory

[slides1101][recording1101; note that screening sharing was not turned on; please refer also to the previous year's recording]

[slides1103][recording1103]

suggested reading: N&C 12.2, 12.5

additional reading:

R. Horodecki, P. Horodecki, M. Horodecki, and K. Horodecki, ``Quantum entanglement,'' Rev. Mod. Phys. 81, 865 (2009)

Quantum Data Compression of a Qubit Ensemble, Lee A. Rozema, Dylan H. Mahler, Alex Hayat, Peter S. Turner, and Aephraim M. Steinberg, Phys. Rev. Lett. 113, 160504 – Published 17 October 2014

(week 11) [10/31,11/2] Unit 10 Quantum entangles: (continued) Unit 11 No clones in quantum: No cloning of quantum states, non-orthogonal state discrimination, quantum tomographic tools, quantum cryptography: quantum key distribution from transmitting qubits and from shared entanglement

suggested reading: N&C 12.1, 12.6; Qb chap 3.12

Refs:

Barnett & Croke, Quantum state discrimination, arXiv:0810.1970

Bae & Kwek, Quantum state discrimination and its applications, arXiv: 1707.02571

Progress in satellite quantum key distribution, Robert Bedington, Juan Miguel Arrazola & Alexander Ling, npj Quantum Information volume 3, Article number: 30 (2017)

Practical challenges in quantum key distribution, Eleni Diamanti, Hoi-Kwong Lo, Bing Qi & Zhiliang Yuan, npj Quantum Information volume 2, Article number: 16025 (2016)

[book] Principles of Quantum Communication Theory: A Modern Approach, by Sumeet Khatri and Mark M. Wilde, arXiv2011.04672

[slides1108][recording1108][slides1110][recording1110]

(week 12) [11/7,11/9] Unit 11 No clones in quantum: (continued) Unit 12 Show me your 'phase', Mr. Unitary: Quantum Fourier Transform, quantum phase estimation, Shor’s factoring algorithm, and quantum linear system (such as the HHL algorithm) and programming with IBM Qiskit again

suggested reading: N&C chap 5, 6.3; KLM chapter 7, 8.4; Qb chap 3.8, 3.9, 3.11

Refs:

Quantum algorithms: an overview, Ashley Montanaro, npj Quantum Information volume 2, Article number: 15023 (2016)

Quantum sampling problems, BosonSampling and quantum supremacy, A. P. Lund, Michael J. Bremner & T. C. Ralph, npj Quantum Information volume 3, Article number: 15 (2017)

[slides1115][recording1115][slides1117][recording1117]

(week 13) [11/14,11/16] Unit 12 Show me your 'phase', Mr. Unitary: (continued) Unit 13 The quantum 'Matrix': Quantum simulations and quantum sensing and metrology

additional reading:

"Entropic uncertainty relations and their applications", Patrick J. Coles, Mario Berta, Marco Tomamichel, and Stephanie Wehner, Rev. Mod. Phys. 89, 015002 – Published 6 February 2017

"Cross-Platform Verification of Intermediate Scale Quantum Devices", by Andreas Elben, Benoît Vermersch, Rick van Bijnen, Christian Kokail, Tiff Brydges, Christine Maier, Manoj K. Joshi, Rainer Blatt, Christian F. Roos, and Peter Zoller, Phys. Rev. Lett. 124, 010504 (2020)

See also the article by Steve Flammia on "Quantum Computer Crosscheck"

Physics article on "The Certainty of Uncertainty" by David Voss

"Violation of Heisenberg's Measurement-Disturbance Relationship by Weak Measurements" by L.A. Rozema, A. Darabi, D. H. Mahler, A. Haya, Y. Soudagar, and A. M. Steinberg, Phys. Rev. Lett. 109, 100404 (2012)

"Quantum Optical Metrology -- The Lowdown on High-N00N States", J. P. Dowling, arXiv:0904.1063

"Nonclassical Light and Metrological Power: An Introductory Review", K.C. Tan, H. Jeong, arXiv:1909.00942

"Minimizing back-action through entangled measurements", K.D. Wu et al., Phys. Rev. Lett. 125, 210401 (2020)

Other refs:

Richard Feynman's paper "Simulating Physics with Computers", Int. J. Theor. Physics, vol 21, no.6/7, p467-488 (1982). Some quotes from Feynman on quantum physics and computer simulation.

Review article on "Tools for quantum simulation with ultracold atoms in optical lattices" by Florian Schäfer, Takeshi Fukuhara, Seiji Sugawa, Yosuke Takasu & Yoshiro Takahashi, Nature Reviews Physics volume 2, pages411–425(2020) [link to arXiv version]

Collection of review papers in Nature Physics on quantum simulations in 2012

[slides1122][recording1122]

(week 14) [11/21; Thanksgiving break begins on 11/23] Unit 13 The quantum 'Matrix': (continued)

(week 15) [11/28, 11/31] (Student presentation)

(week 16) [12/5 (last day of class)] (Student presentation)

(final exam day) [12/12] (Student presentation) 2:15pm - 5pm Library W4535.

Additional topics if time permits:

The quantum outlook: Additional topics time permitting (Quantum Information beyond condensed matter and AMO phsysics, holographic codes, Black hole entropy paradox, etc.)

Python and Qiskit

Qiskit requires Python 3 and you can install Qiskit according to the instruction here at the documentation. Python (in particular Python 3) can be installed in Mac, Windows and Linux (Mac and Linux may come with it). We need at least Python 3.6. It is recommended to install on your own PC or laptop.

You can also sign up a free IBM Q account and run Python Notebooks in IBM Q's Quantum Labs (no need to install any package). In order to run programs on real qantum computers, you need to have an account with IBM Q.

Additionally, you can sign up for a "CoCalc" account at here: https://cocalc.com/. It may have the software you need for this course.

Note that Qiskit is evolving fast. It is likely that by the end of this course, the Qiskit version may have changed quite a bit.

March 2021:

Amazon Braket is another option:

See videos on YouTube

May 2021:

Here is the link to "Introduction to Quantum Computing and Quantum Hardware" from the Qiskit Summer School 2020

Qiskit book labs:

Lab 1 Quantum Circuits

Lab 2 Single Qubit Gates

Lab 3 Quantum Measurements

Lab 4 Accuracy of Quantum Phase Estimation

Lab 5 Iterative Phase Estimation Algorithm

Lab 6 Scalable Shor’s Algorithm

Lab 7 Grover’s search with an unknown number of solutions

Lab 8 Quantum Simulation as a Search Algorithm

Suggested topics and papers for presentation (click to see the incomplete list, to be updated)

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Announcement, Update and Additional Information

Other useful resources:

Youtube lectures by Umesh Vazirani

Leonard Susskind's lecture series on Modern Physics: Quantum Mechanics

Lecture 1, Lecture 2, Lecture 3, Lecture 4, Lecture 5, Lecture 6, Lecture 7, Lecture 8, Lecture 9, Lecture 10

Minicourse on quantum-information thermodynamics: link is here

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