Attainable quantum speed limit for N-dimensional quantum systems

• URL: http://arxiv.org/abs/2506.17904v1
• Date: Sun, 22 Jun 2025 05:29:58 GMT
• Title: Attainable quantum speed limit for N-dimensional quantum systems
• Authors: Zi-yi Mai, Chang-shui Yu,
• Abstract summary: Quantum speed limit (QSL) is a concept in quantum mechanics that provides a lower bound on the evolution time.<n>In this paper, we establish a new proposed state distance for both open and closed quantum systems.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum speed limit (QSL) is a fundamental concept in quantum mechanics and provides a lower bound on the evolution time. The attainability of QSL, greatly depending on the understanding of QSL, is a long-standing open problem especially for high-dimensional systems. In this paper, we solve this problem by establishing a QSL suitable and attainable for both open and closed quantum systems based on a new proposed state distance. It is shown that given any initial state in a certain dimension, our QSL bound can always be saturated by unitary and non-unitary dynamics, and for any given Hamiltonian for a unitary evolution, a pair of states always exists, saturating the bound. As applications, we demonstrate the QSL time attained by various physical settings. This paper will shed new light on the QSL problems.

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