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Sophie Schirmer (Quantum Control 2: Controllability and Robustness)

Sophie Schirmer (Quantum Control 2: Controllability and Robustness)

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 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=sharingFollow 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/ ReferencesSophie’s thesis: https://scholarsbank.uoregon.edu/items/63c4205b-9a0d-4622-833f-377f975c8cb3Herschel Rabitz papers: https://pubs.aip.org/aip/acp/article-abstract/334/1/160/783416/Control-of-quantum-dynamics-The-dream-is-alive?redirectedFrom=fulltexthttps://www.science.org/doi/10.1126/science.259.5101.1581Control 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.58.2684Dynamic realisability of systems that aren’t completelycontrollable: https://ieeexplore.ieee.org/abstract/document/912046Types of controllability: https://iopscience.iop.org/article/10.1088/0305-4470/35/18/309More detail in this paper: https://arxiv.org/abs/quant-ph/0110171Hilbert spaces: https://www.math.ucdavis.edu/~hunter/book/ch6.pdfPure vs mixed states: https://medium.com/@emilmarinov/pure-mixed-and-entangled-quantum-states-84e8a4a8dd16Controllability 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-penrosesIncorporating 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.htmlp.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-motionControl Lyapunov functions: https://stanford.edu/class/ee363/lectures/io-lyap.pdfLyapunov control of quantum systems: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=5415539Entanglement generation: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.80.042305Bell states: https://en.wikipedia.org/wiki/Bell_stateEdmund Jonckheere: https://ee.usc.edu/~jonckhee/SSV paper: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9682796Robust control of open quantum systems: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9792196Entanglement generation in a lossy cavity: https://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=9992337Quantum reservoir engineering: https://www.sciencedirect.com/science/article/pii/S1474667016316962Energy landscape shaping paper: https://iopscience.iop.org/article/10.1088/1367-2630/addc0d/pdfSchrodinger’s cat review paper: https://link.springer.com/article/10.1140/epjd/e2015-60464-1Feynman’s lectures on physics: https://www.feynmanlectures.caltech.edu/
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