Thermodynamical analogues in quantum information theory

2001/07/05 by Daniel Rohrlich
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Coherent information #Computer science #Data mining #Entropy (arrow of time) #Exploit #Information gain #Information theory #Mathematics #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Statistical physics #Statistics #Theoretical computer science #Theoretical physics #quant-ph

paper · pdf · doi:10.1134/1.1405213

published as Optics and Spectroscopy 91 (2001) 394 · RevTeX, 10 pages, no figures

arxiv created 2001/07/05 · openalex publication_date 2001/09/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The first step in quantum information theory is the identification of entanglement as a valuable resource. The next step is learning how to efficiently exploit this resource. We learn how to efficiently exploit entanglement by applying analogues of thermodynamical concepts. These concepts include reversibility, entropy, and the distinction between intensive and extensive quantities. We discuss some of these analogues and show how they lead to a measure of entanglement for pure states. We also ask whether these analogues are more than analogues, and note that, locally, entropy of entanglement is thermodynamical entropy.

Citations

• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Discussion of Probability Relations between Separated Systems
• Quantum cryptography based on Bell’s theorem
• Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
• Thermodynamics and the measure of entanglement
• On the Einstein Podolsky Rosen paradox
• Conjugate coding