Generalized geometric quantum speed limits
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2016
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The attempt to gain a theoretical understanding of the concept of time in quantum mechanics has
triggered significant progress towards the search for faster and more efficient quantum technologies. One of
such advances consists in the interpretation of the time-energy uncertainty relations as lower bounds for the
minimal evolution time between two distinguishable states of a quantum system, also known as quantum
speed limits. We investigate how the nonuniqueness of a bona fide measure of distinguishability defined on
the quantum-state space affects the quantum speed limits and can be exploited in order to derive improved
bounds. Specifically, we establish an infinite family of quantum speed limits valid for unitary and
nonunitary evolutions, based on an elegant information geometric formalism. Our work unifies and
generalizes existing results on quantum speed limits and provides instances of novel bounds that are tighter
than any established one based on the conventional quantum Fisher information. We illustrate our findings
with relevant examples, demonstrating the importance of choosing different information metrics for open
system dynamics, as well as clarifying the roles of classical populations versus quantum coherences, in the
determination and saturation of the speed limits. Our results can find applications in the optimization and
control of quantum technologies such as quantum computation and metrology, and might provide new
insights in fundamental investigations of quantum thermodynamics.
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Quantum physics, Quantum information
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PIRES, Diego Paiva; CIANCIARUSO, Marco; CÉLERI, Lucas C; ADESSO, Gerardo; SOARES-PINTO, Diogo O. Generalized geometric quantum speed limits. Physical Review X, New York, v. 6, n. 2, e021031, 2016. DOI: 10.1103/PhysRevX.6.021031. Disponível em: https://journals.aps.org/prx/abstract/10.1103/PhysRevX.6.021031. Acesso em: 3 maio 2023.