Generalized Geometric Quantum Speed Limits
Diego Paiva Pires,Marco Cianciaruso,Marco Cianciaruso,Lucas C. Céleri,Gerardo Adesso,Diogo O. Soares-Pinto +5 more
TLDR
In this paper, an infinite family of quantum speed limits valid for unitary and non-unitary evolutions, based on an elegant information geometric formalism, is established, which 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.Abstract:
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 non uniqueness 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 which 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.read more
Citations
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Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
Sebastian Deffner,Steve Campbell +1 more
TL;DR: In this paper, Paczynska et al. presented a visual representation of Einstein's gedanken experiment, Fig. 4, which was supported by the U.S National Science Foundation under Grant No. CHE-1648973.
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Speed Limit for Classical Stochastic Processes.
TL;DR: In this article, the authors consider the speed limit for stochastic Markov processes with and without the local detailed balance condition and find that a trade-off inequality exists between the speed of the state transformation and the entropy production.
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Quantum Speed Limit is Not Quantum.
Manaka Okuyama,Masayuki Ohzeki +1 more
TL;DR: This study obtains a classical speed limit corresponding to the QSL using Hilbert space for the classical Liouville equation and obtains similar speed limits for the imaginary-time Schrödinger equations such as the classical master equation.
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Quantum Speed Limits across the Quantum-to-Classical Transition.
TL;DR: This work explores quantum speed limits across the quantum-to-classical transition and identifies equivalent bounds in the classical world, and shows that speed limits exist for both quantum and classical systems.
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Tightening Quantum Speed Limits for Almost All States.
TL;DR: This work derives two quantum speed limits for unitary driving that outperform the traditional bounds for almost all quantum states and are significantly simpler to compute as well as experimentally more accessible.
References
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