Quantum entropy and quantum teleportation

Kei Inoue, Masanori Ohya, Hiroki Suyari

Yanhua H. Shih

Jincheng Zhang

Quantum teleportation, a cornerstone of quantum information science, has traditionally been viewed through the lens of quantum mechanics, focusing on the transfer of quantum states without physical transport. This paper proposes a novel interpretation of quantum teleportation as a quantum entanglement thermodynamics process. We argue that teleportation can be understood as an entropy-driven process mediated by quantum entanglement, where the transfer of quantum information is fundamentally linked to the increase of entropy in a larger system, adhering to the principles of the second law of thermodynamics. Specifically, we formulate the process mathematically, utilizing concepts like entanglement entropy, von Neumann entropy, and the Landauer principle to quantify the changes in thermodynamic properties during the teleportation event. We explore how the conservation of energy and the constraints imposed by the second law govern the successful completion of teleportation, providing a new framework for understanding and potentially controlling this remarkable quantum phenomenon. The central contribution of this work is to bridge the gap between quantum mechanics and thermodynamics, offering a richer and more fundamental perspective on quantum teleportation.

Akira Furusawa, Timothy C. Ralph, Ping Koy Lam

Shinji Mukohyama A

A new interpretation of entanglement entropy is proposed: entanglement entropy of a pure state with respect to a division of 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 the 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 the efficiency of quantum teleportation. Finally, the implications for the information loss problem and Hawking radiation are discussed.

F.J. Duarte