CMSC 858V Quantum control, Metrology and Error mitigation for Algorithm Deployment, Fall 2023

Lecture Note Scribing (10% of the grade)

Each student should scribe (at least) one lecture. This is an interactive procedure. The student should prepare a draft lecture note within 3 weeks from the given lecture. The instructor will work with the student to further polish the lecture note. It is expected that the final lecture notes will be available to the public. Note that lectures will be recorded and handwritten notes will be shared at ELMS.

We provide a latex typesetting template for your convenience. There is also a latex macro for some basic notations in quantum information. Check here for a sample tex file. Please use Qcircuit for drawing quantum circuits.

Earn additional 10% of the grade for impressive homework

Milestones:

• Please submit your preference in lecture note scribing by 09/08/22 at ELMS.

• Please submit your draft lecture note within 3 weeks of your assigned lecture.

Paper Presentation (15% of the grade)

Each student is expected to present one paper (or a few papers about one specific topic) during the weeks of paper presentation. Students will bid for the paper to present (no more than 2 students for the same paper). The length of the presentation ranges from a half lecture to a full lecture depending on the nature of the content. Students could use whiteboards, slides, or so for the presentation as long as it is clear for the audience.

Here are some general suggestions on how to read/understand/present a new research paper:

• A good way to understand a new paper is to imagine yourself as a reviewer for the paper and follow the suggestion here:e.g., The task of the Referee. The lecture note of your presentation could be a review of the paper following the above principles.

• Some other general principles: e.g., Principles of Effective Research, Six Rules for Rewriting, How to Read a Paper.

Milestones:

• Please bid for your paper and time slots by 09/15/22 at ELMS.

Tentative Paper List (subject to frequent updates)

Here are some suggested references to present for the course. This list should be considered as a suggestion. Reasonable references outside the list are welcome, which should be submitted in your bid and approved by the instructor.

If you have any trouble identifying papers to present, please contact the instructor as soon as possible.

• Quantum Control

  • Controllability

    • Quantum Speedup limit,Navin Khaneja, Roger Brockett, and Steffen J. Glaser Phys. Rev. A 63, 032308;

    • Pure State controllability, Albertini, Francesca, and Domenico D'Alessandro,  IEEE Transactions on Automatic Control 48.8 (2003): 1399-1403.

    • Open system controllability,  Wu, R., Pechen, A., Brif, C., & Rabitz, H. (2007), Journal of Physics A: Mathematical and Theoretical, 40(21), 5681.

    • Network controllability, Wang, Xiaoting, Peter Pemberton-Ross, and Sophie G. Schirmer,  IEEE transactions on automatic control 57.8 (2012): 1945-1956.

  • Quantum Optimal control

    • Time-domain optimal quantum control, Khaneja, Navin, Timo Reiss, Cindie Kehlet, Thomas Schulte-Herbrüggen, and Steffen J. Glaser, Journal of magnetic resonance 172, no. 2 (2005): 296-305.

    • Frequency-domain optimal quantum control, Shu, C. C., Ho, T. S., Xing, X., & Rabitz, H. (2016), Physical Review A, 93(3), 033417.

    • Time-dependent Schrieffer Wolff: Nonadiabatic corrections to fast dispersive multiqubit gates involving Z control, L. S. Theis and F. K. Wilhelm, PRA, 95, 022314 (2017).

    • Koch, Christiane P., et al. "Quantum optimal control in quantum technologies. Strategic report on current status, visions and goals for research in Europe." EPJ Quantum Technology 9.1 (2022): 19.

  • Quantum Feedback control

    • Lyapunov control, Liu, Yanan, Sen Kuang, and Shuang Cong, IEEE transactions on cybernetics 47.11 (2016): 3827-3839.

    • Bayesian Feedback control, Ruskov, Rusko, and Alexander N. Korotkov, Physical Review B 66.4 (2002): 041401.

    • Coherent Feedback control, Mabuchi, Hideo, Physical Review A 78.3 (2008): 032323.

    • Fault-tolerant Quantum control

      • Fault-tolerant filtering and detection, Gao, Q., Dong, D., Petersen, I. R., & Rabitz, H. (2016), Journal of Mathematical Physics, 57(6).

      • Fault-tolerant coherent control, Xiang, C., Ma, S., Kuang, S., & Dong, D. (2020), IEEE/CAA Journal of Automatica Sinica, 8(2), 432-440.

    • Machine Learning for Quantum control

      • Reinforcement Learning for Quantum Control, Niu, M. Y., Boixo, S., Smelyanskiy, V. N., & Neven, H. (2019), npj Quantum Information, 5(1), 33.

      • Gradient-free Optimization fo Quantum Control, Muller MM, Said RS, Jelezko F, Calarco T, Montangero S, Rep Prog Phys. 2022;85:076001.

• Quantum Metrology

  • Phase Estimation

    • Single-qubit robust phase estimation, S. Kimmel, G. H. Low, and T. J. Yoder, Phys. Rev. A, 92:062315, Dec 2015.  

    • Multi-qubit periodic calibration, C. Neil, et. al., Nature, 594(7864):508– 512, June 2021. 

    • Quantum signal processing for phase estimation, arXiv:2209.11207

  • State Certification

    • Optimal state certification, Bădescu, Costin, Ryan O'Donnell, and John Wright, In Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing, pp. 503-514. 2019.

    • Review of state certification and benchmark, arXiv:1910.06343

  • Tomography

    • Gate set tomography, Nielsen, E., Gamble, J.K., Rudinger, K., Scholten, T., Young, K. and Blume-Kohout, R., 2021,  Quantum, 5, p.557.

    • Review of state certification and benchmark, arXiv:1910.06343

    • Randomized benchmark, Magesan E, Gambetta JM, Emerson J, Physical Review A. 2012 Apr 11;85(4):042311.

    • Cross-entropy benchmark, Boixo S, Isakov SV, Smelyanskiy VN, Babbush R, Ding N, Jiang Z, Bremner MJ, Martinis JM, Neven H, Nature Physics. 2018 Jun;14(6):595-600.

• Quantum Analog Simulation

  • Hybrid analgo-digital simulations: 1. Digital-Analog Quantum Simulations Using the Cross-Resonance Effect, 2.Toward simulating quantum field theories with controlled phonon-ion dynamics: A hybrid analog-digital approach. 3.Probing the symmetry breaking of a light–matter system by an ancillary qubit.

  • Fully analog quantum simulation in cold atom systems: 1. Quantum simulations with ultracold quantum gases. Nat. Phys., 8:267, 2012. 2.Site-resolved measurement of the spin-correlation function in the fermi- hubbard model. Science, 353(6305):1253–1256, 2016.

  • Fully analog quantum simulation in Ion trap and cold atom qubits: 1. Observation of a many- body dynamical phase transition with a 53-qubit quantum simulator. Nature, 551(7682):601– 604, 2017. 2.Probing many-body dynamics on a 51-atom quantum simulator. Nature, 551(7682).

• Quantum Algorithm Deployments

  • Quantum supremacy using a programmable superconducting processor. Nature. 2019 Oct;574(7779):505-10.

  • A blueprint for demonstrating quantum supremacy with superconducting qubits. Science 360.6385 (2018): 195-199.

  • Noise-resilient Majorana edge modes on a chain of superconducting qubits. arXiv e-prints. 2022 Apr:arXiv-2204.

  • Hartree-Fock on a superconducting qubit quantum computer. Science. 2020 Aug 28;369(6507):1084-9.

  • Suppressing quantum errors by scaling a surface code logical qubit. Nature 614, no. 7949 (2023): 676-681.

  • More to be added

• Quantum Architecture and Circuit Compilation

  • Quantum Architecture optimization, Lin WH, Tan B, Niu MY, Kimko J, Cong J., IEEE Journal on Emerging and Selected Topics in Circuits and Systems. 2022 Aug 29;12(3):624-37.

  • Exploiting Long-Distance Interactions and Tolerating Atom Loss in Neutral Atom Quantum Architectures. ISCA 2021.