This month I got to interview Sophie Schirmer about herfascinating work on quantum control, including notions such as controllability and realisability, different types of quantum states (including pure, mixed, and dark states), comparison between different approaches to optimisation, and the quantum phenomena inside MRI scanners!
You can find the transcript at: https://docs.google.com/document/d/1l0TFtckp7zEKCG0wdMHY0nySptrzbkV9ohQExa6ykGg/edit?usp=sharing
Follow the podcast on LinkedIn: https://www.linkedin.com/company/coffee-and-control-podcast/
Or connect with me directly: https://www.linkedin.com/in/lucy-hodgins-733a30175/
References
Sophie’s thesis: https://scholarsbank.uoregon.edu/items/63c4205b-9a0d-4622-833f-377f975c8cb3
Herschel Rabitz papers: https://pubs.aip.org/aip/acp/article-abstract/334/1/160/783416/Control-of-quantum-dynamics-The-dream-is-alive?redirectedFrom=fulltext
https://www.science.org/doi/10.1126/science.259.5101.1581
Control paradigms for quantum engineering: https://arxiv.org/abs/0805.2890
Energy landscape shaping as feedback control: https://ieeexplore.ieee.org/document/8119551
Kinematic bounds paper: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.58.2684
Dynamic realisability of systems that aren’t completelycontrollable: https://ieeexplore.ieee.org/abstract/document/912046
Types of controllability: https://iopscience.iop.org/article/10.1088/0305-4470/35/18/309
More detail in this paper: https://arxiv.org/abs/quant-ph/0110171
Hilbert spaces: https://www.math.ucdavis.edu/~hunter/book/ch6.pdf
Pure vs mixed states: https://medium.com/@emilmarinov/pure-mixed-and-entangled-quantum-states-84e8a4a8dd16
Controllability with a single actuator: https://arxiv.org/pdf/0801.0721
Dark states and their enlightenment: https://arxiv.org/abs/1003.4290
Quantum gravity lecture: https://podcasts.ox.ac.uk/oxford-mathematics-public-lectures-carlo-rovelli-spin-networks-quantum-structure-spacetime-penroses
Incorporating encoding into quantum system design: https://journals.aps.org/pra/pdf/10.1103/PhysRevA.109.042408
Ilja Kuprov: https://www.southampton.ac.uk/people/5x97wv/professor-ilya-kuprov
Beyondpiecewise constant controls: https://arxiv.org/pdf/2303.09458
Lyaounov functions: https://underactuated.mit.edu/lyapunov.html
p.s. I would highly recommend the inControl episode on AleksandrLyapunov: https://www.incontrolpodcast.com/1632769/episodes/18019902-ep37-a-m-lyapunov-the-general-problem-of-stability-of-motion
Control Lyapunov functions: https://stanford.edu/class/ee363/lectures/io-lyap.pdf
Lyapunov control of quantum systems: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5415539
Entanglement generation: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.80.042305
Bell states: https://en.wikipedia.org/wiki/Bell_state
Edmund Jonckheere: https://ee.usc.edu/~jonckhee/
SSV paper: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9682796
Robust control of open quantum systems: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9792196
Entanglement generation in a lossy cavity: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9992337
Quantum reservoir engineering: https://www.sciencedirect.com/science/article/pii/S1474667016316962
Energy landscape shaping paper: https://iopscience.iop.org/article/10.1088/1367-2630/addc0d/pdf
Schrodinger’s cat review paper: https://link.springer.com/article/10.1140/epjd/e2015-60464-1
Feynman’s lectures on physics: https://www.feynmanlectures.caltech.edu/
