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Full-Text Articles in Physical Sciences and Mathematics
Information Gain In Tomography–A Quantum Signature Of Chaos, Vaibhav Madhok, Carlos A. Riofrío, Shohini Ghose, Ivan H. Deutsch
Information Gain In Tomography–A Quantum Signature Of Chaos, Vaibhav Madhok, Carlos A. Riofrío, Shohini Ghose, Ivan H. Deutsch
Physics and Computer Science Faculty Publications
We find quantum signatures of chaos in various metrics of information gain in quantum tomography. We employ a quantum state estimator based on weak collective measurements of an ensemble of identically prepared systems. The tomographic measurement record consists of a sequence of expectation values of a Hermitian operator that evolves under repeated application of the Floquet map of the quantum kicked top. We find an increase in information gain and, hence, higher fidelities in the reconstruction algorithm when the chaoticity parameter map increases. The results are well predicted by random matrix theory.
Momentum And Spin In Entropic Quantum Dynamics, Shahid Nawaz
Momentum And Spin In Entropic Quantum Dynamics, Shahid Nawaz
Legacy Theses & Dissertations (2009 - 2024)
We study quantum theory as an example of entropic inference. Our goal is to remove conceptual difficulties that arise in quantum mechanics. Since probability is a common feature of quantum theory and of any inference problem, we briefly introduce probability theory and the entropic methods to update probabilities when new information becomes available. Nelson's stochastic mechanics and Caticha's derivation of quantum theory are discussed in the subsequent chapters. Our first goal is to understand momentum and angular momentum within an entropic dynamics framework and to derive the corresponding uncertainty relations. In this framework momentum is an epistemic concept -- it …