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The Underlying Order Induced by Orthogonality and the Quantum Speed Limit

Instituto de Física, Universidad Nacional Autónoma de México, Apdo. Postal 20-364, Ciudad de México 01000, Mexico
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Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Academic Editor: Lev Vaidman
Quantum Rep. 2021, 3(3), 376-388; https://doi.org/10.3390/quantum3030024
Received: 9 June 2021 / Revised: 22 July 2021 / Accepted: 22 July 2021 / Published: 24 July 2021
We perform a comprehensive analysis of the set of parameters {ri} that provide the energy distribution of pure qutrits that evolve towards a distinguishable state at a finite time τ, when evolving under an arbitrary and time-independent Hamiltonian. The orthogonality condition is exactly solved, revealing a non-trivial interrelation between τ and the energy spectrum and allowing the classification of {ri} into families organized in a 2-simplex, δ2. Furthermore, the states determined by {ri} are likewise analyzed according to their quantum-speed limit. Namely, we construct a map that distinguishes those ris in δ2 correspondent to states whose orthogonality time is limited by the Mandelstam–Tamm bound from those restricted by the Margolus–Levitin one. Our results offer a complete characterization of the physical quantities that become relevant in both the preparation and study of the dynamics of three-level states evolving towards orthogonality. View Full-Text
Keywords: quantum speed limit; orthogonality time; three-level systems; dynamics towards orthogonality quantum speed limit; orthogonality time; three-level systems; dynamics towards orthogonality
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MDPI and ACS Style

Sevilla, F.J.; Valdés-Hernández, A.; Barrios, A.J. The Underlying Order Induced by Orthogonality and the Quantum Speed Limit. Quantum Rep. 2021, 3, 376-388. https://doi.org/10.3390/quantum3030024

AMA Style

Sevilla FJ, Valdés-Hernández A, Barrios AJ. The Underlying Order Induced by Orthogonality and the Quantum Speed Limit. Quantum Reports. 2021; 3(3):376-388. https://doi.org/10.3390/quantum3030024

Chicago/Turabian Style

Sevilla, Francisco J., Andrea Valdés-Hernández, and Alan J. Barrios. 2021. "The Underlying Order Induced by Orthogonality and the Quantum Speed Limit" Quantum Reports 3, no. 3: 376-388. https://doi.org/10.3390/quantum3030024

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