Description
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/