A Novel State-Space Diagram Analysis for Entanglement Transitions Using Time-Dependent Separability Measures​

17 October 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

This paper will analyze the impact of “stochastic noises” on open quantum systems, also known as systems exposed to their environment. In the real world, entangled systems are often subject to stochastic environmental noises that result in decoherence and corruption of their quantum properties. This poses a significant challenge for the implementation of quantum entanglement in fields such as quantum computing and quantum informatics. We will describe the dynamics and evolution of these entangled systems as they decay from a maximally entangled state to a separated state. These dynamics can be highly sensitive to the type and strength of noise, leading to a wide variety of decay behaviors. A special phenomenon we encounter is Entanglement Sudden Death (ESD), where entanglement dies inexplicably within a short period of time. We will also analyze the time-dependent distance from the separability boundary, denoted Λ, within these evolving systems.

Keywords

entanglement
stochastic noises
concurrence
separability boundary

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