Comments on entanglement entropy

TL;DR

This paper proposes a novel interpretation of entanglement entropy as a measure of information transfer capacity via quantum entanglement, supported by thermodynamic and teleportation arguments, with implications for black hole physics.

Contribution

It introduces a new perspective on entanglement entropy as an information transmission measure and links it to quantum teleportation efficiency.

Findings

Maximal entanglement entropy correlates with teleportation efficiency.

Entanglement entropy can be viewed as an information transmission index.

Implications discussed for black hole information loss and Hawking radiation.

Abstract

A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of a Hilbert space into two subspaces 1 and 2 is an amount of information, which can be transmitted through 1 and 2 from a system interacting with 1 to another system interacting with 2. The transmission medium is quantum entanglement between 1 and 2. In order to support the interpretation, suggestive arguments are given: variational principles in entanglement thermodynamics and quantum teleportation. It is shown that a quantum state having maximal entanglement entropy plays an important role in quantum teleportation. Hence, the entanglement entropy is, in some sense, an index of efficiency of quantum teleportation. Finally, implications for the information loss problem and Hawking radiation are discussed.