NO-CLONING THEOREM IN THERMOFIELD DYNAMICS

2011/04/30 by Thiago Prudêncio, Thiago Prudencio · 4 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Formalism (music) #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Statistical physics #Theoretical physics #Von Neumann architecture #Von Neumann entropy #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1142/s021974991230001x

published in International Journal of Quantum Information 10(02), 1230001 (World Scientific) · 16 pages, 3 figures

openalex publication_date 2012/03/01 · arxiv created 2012/04/13 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss the relation between the no-cloning theorem from quantum information and the doubling procedure used in the formalism of thermofield dynamics (TFD). We also discuss how to apply the no-cloning theorem in the context of thermofield states defined in TFD. Consequences associated to mixed states, von Neumann entropy and thermofield vacuum are also addressed.

Citations

• Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations
• Introduction to Quantum Information Science
• Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
• Maximum entanglement in squeezed boson and fermion states
• Generalized Bogoliubov transformation for confined fields: Applications for the Casimir effect
• A single quantum cannot be cloned
• Noncommuting Mixed States Cannot Be Broadcast
• Communication by EPR devices
• Quantum copying: Beyond the no-cloning theorem
• Thermal symmetry of the Markovian master equation
• Demonstration of Quantum Telecloning of Optical Coherent States
• Quantum Computing