Complexity invariance by replication in the quantum square well
Ricardo Lopez-Ruiz, Jaime Sanudo
TL;DR
This paper introduces a new invariance property of a statistical complexity measure, demonstrating that the energy eigenstates of the quantum infinite square well all share the same complexity value.
Contribution
It reveals a novel invariance property of statistical complexity in quantum systems, specifically in the infinite square well model.
Findings
Energy eigenstates exhibit constant complexity across all states.
The invariance applies to a specific statistical measure of complexity.
The result highlights a unique symmetry in quantum complexity measures.
Abstract
A new kind of invariance by replication of a statistical measure of complexity is considered. We show that the set of energy eigenstates of the quantum infinite square well displays this particular invariance. Then, this system presents a constant complexity for all the energy eigenstates.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Computability, Logic, AI Algorithms · Advanced Algebra and Logic