On holographic time-like entanglement entropy

Key Points

• The aim is to compare holographic time-like entanglement entropy with pseudo-entropy in a two-qubit system.
• Analyzed holographic time-like entanglement entropy and pseudo-entropy.
• Considered transitions from a thermal state to an anisotropic thermal state at fixed temperature.
• Identified common properties and differences between the two quantities.
• Found common properties between holographic time-like entanglement entropy and pseudo-entropy.
• Reported important differences in behavior during transitions to anisotropic thermal states.