2013/06/21 by Alvaro Lopez-Medrano, Lopez-Medrano, Alvaro
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Black hole information paradox #Classical physics #Computer science #Counterintuitive #Economics #Entropy (arrow of time) #FOS: Biological sciences #FOS: Computer and information sciences #Inefficiency #Information Theory (cs.IT) #Information theory #Information transfer #Mathematics #Metric (unit) #Neurons and Cognition (q-bio.NC) #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum information #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #Statistics #Theoretical physics #Uncertainty principle #cs.IT #math.IT #q-bio.NC
paper · pdf · doi:10.48550/arxiv.1306.5219
11 pages
openalex publication_date 2013/06/21 · arxiv created 2020/03/02 · arxiv updated 2020/03/04 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
With the aid of a toy model, the Monty Hall Problem (MHP), the\ncounterintuitive and theoretically problematic concept of negative information\nin classical systems is well understood. It is shown that, as its quantum\ncounterpart, classical local mutual information, obtained through a\nmeasurement, can be expressed as the difference between the information gained\nwith the evidence and the negative information generated due to the\ninefficiency of the measurement itself; a novel local Shannon metric, the\ntransfer information content, is defined as this difference, which is negative\nif the measurement generates more disturbance than the evidence, i.e.,\ngenerates a classical measurement back action. This metric is valid for both,\nClassical and Quantum measurements, and it is proposed as a starting point\ntowards a general physical theory of information. This information-disturbance\ntrade-off in classical measurements is a kind of Heisenberg principle at\nmacroscopic scales, and it is proposed, as further work, to incorporate this\nresult in the already existing generalized uncertainty principles in the field\nof quantum gravity.\n