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 |
Student
Accessibility Support Services (SASC):
If you have a physical, psychological, medical or learning
disability that may impact your course work, please contact Student
Accessibility Support Center, ECC (Educational Communications Center)
Building, Room 128, (631)632-6748. They will determine with
you what accommodations, if any, are necessary and appropriate. All
information and documentation is confidential. https://www.stonybrook.edu/commcms/studentaffairs/sasc/facstaff/syllabus.php
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Each
student must pursue his or her academic goals honestly and be
personally accountable for all submitted work. Representing another
person's work as your own is always wrong. Faculty is required to
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refer to the academic judiciary website at: http://www.stonybrook.edu/commcms/academic_integrity/index.html
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