Geometric tools for quantum information science
ORAL
Abstract
Geometric Quantum Mechanics (GQM) is an approach to quantum mechanics which focuses on the geometric aspects of the manifold of states, rather than on the vector properties of the Hilbert space. I will discuss how GQM inspires a novel set of tools and results to study the phenomenology of quantum systems and their information-theoretic aspects. Particular attention will be devoted to discuss (1) a new notion of statistical state of a quantum system (2) a novel approach to the thermodynamics of quantum systems and (3) a new notion of quantum entropy.
F. Anza, J. P. Crutchfield - Beyond density matrices: Geometric quantum states
https://arxiv.org/abs/2008.08682
F. Anza, J. P. Crutchfield - Geometric Quantum Thermodynamics
https://arxiv.org/abs/2008.08683
F. Anza, J. P. Crutchfield - Geometric Quantum State Estimation
https://arxiv.org/abs/2008.08679
F. Anza, J. P. Crutchfield - Beyond density matrices: Geometric quantum states
https://arxiv.org/abs/2008.08682
F. Anza, J. P. Crutchfield - Geometric Quantum Thermodynamics
https://arxiv.org/abs/2008.08683
F. Anza, J. P. Crutchfield - Geometric Quantum State Estimation
https://arxiv.org/abs/2008.08679
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Presenters
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Fabio Anza
University of California, Davis
Authors
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Fabio Anza
University of California, Davis