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arXiv · 2107.06557

Towards a Geometrization of Quantum Complexity and Chaos

Davide Rattacaso·Patrizia Vitale·Alioscia Hamma
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Abstract

In this paper, we show how the restriction of the Quantum Geometric Tensor to manifolds of states that can be generated through local interactions provides a new tool to understand the consequences of locality in physics. After a review of a first result in this context, consisting in a geometric out-of-equilibrium extension of the quantum phase transitions, we argue the opportunity and the usefulness to exploit the Quantum Geometric Tensor to geometrize quantum chaos and complexity.

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Davide Rattacaso, Patrizia Vitale, Alioscia Hamma. 2021-07-14. Towards a Geometrization of Quantum Complexity and Chaos. https://doi.org/10.1007/978-3-030-80209-7_19

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