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Large Scale Energy Efficient Sensor Network Routing Using a Quantum Processor Unit

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Published on: September 8, 2023

Speed of evolution in qutrit systems.

Jesica Espino-González¹, Francisco J Sevilla¹, Andrea Valdés-Hernández²

¹Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México, Mexico.

Scientific Reports

|November 12, 2025

Summary

This summary is machine-generated.

We analyzed the speed of quantum evolution in three-level systems (qutrits). The study maps quantum speed limits and identifies conditions for faster dynamics, offering insights into higher-dimensional quantum systems.

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Area of Science:

Quantum mechanics
Quantum information theory

Background:

Understanding quantum evolution speed is crucial for quantum technologies.
Quantum speed limits (QSLs) constrain the rate of quantum state transitions.

Purpose of the Study:

To analyze the speed of quantum evolution in a closed three-level (qutrit) quantum system.
To characterize the quantum speed limit (QSL) under arbitrary time-independent Hamiltonians.
To elucidate the hierarchy and relative importance of Mandelstam-Tamm, Margolus-Levitin, and Ness-Alberti-Sagi bounds.

Main Methods:

Analysis of evolution under arbitrary time-independent Hamiltonians.
Characterization of parameters determining QSLs.
Investigation of conditions for state orthogonality in finite time.
Application to physical systems like bosons and particles in triple-well potentials.

Main Results:

Full characterization of parameters governing the quantum speed limit in qutrits.
Identification of the hierarchy and relative importance of different QSL bounds.
Development of a 'speed map' in parameter space indicating faster/slower dynamics.
Demonstration of applicability to specific physical models.

Conclusions:

The study provides a comprehensive framework for understanding quantum evolution speed in higher-dimensional systems.
Findings offer insights into how energy and initial configurations influence quantum dynamics.
Results are relevant for optimizing quantum operations and controlling quantum systems.