On Holographic Time-Like Entanglement Entropy

TL;DR

This paper compares holographic timelike entanglement entropy with pseudo-entropy in a two-qubit system, highlighting similarities and differences in their properties during thermal state transitions.

Contribution

It provides a detailed analysis of the relationship between holographic timelike entanglement entropy and pseudo-entropy, revealing key distinctions and common features.

Findings

Identified common properties of holographic timelike entanglement entropy and pseudo-entropy.

Reported significant differences between these quantities in thermal state transitions.

Analyzed the behavior of these entropies in a two-qubit system under anisotropic conditions.

Abstract

In this paper, we compare and analyze holographic timelike entanglement entropy with pseudo-entropy in quantum mechanics for a two-qubit system, considering transitions from a thermal state to an anisotropic thermal state at fixed temperature. We identify several common properties but also report important differences between these quantities.