Entropic information-disturbance tradeoff

2006/04/30 by Lorenzo Maccone · 2 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Algorithm #Artificial intelligence #Computer science #Control (management) #Control theory (sociology) #Disturbance (geology) #Eigenvalues and eigenvectors #Fidelity #Geology #Mutual information #Physics #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #State (computer science) #Statistical physics #Telecommunications #quant-ph

paper · pdf · doi:10.1209/0295-5075/77/40002

published as Europhys. Lett. 77, 40002 (2007) · 4 pages, 1 figure. Revised version

arxiv created 2006/09/06 · openalex publication_date 2007/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We show the flaws found in the customary fidelity-based definitions of disturbance in quantum measurements and evolutions. We introduce the "entropic disturbance" D and show that it adequately measures the degree of disturbance, intended essentially as an irreversible change in the state of the system. We also find that it complies with an information-disturbance tradeoff, namely the mutual information between the eigenvalues of the initial state and the measurement results is less than or equal to D .

Citations

• Capacity of the noisy quantum channel
• Degradation of a quantum reference frame
• Information-disturbance tradeoff in quantum measurements
• A continuity property of the entropy density for spin lattice systems
• The Uncertainty Principle
• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Clean positive operator valued measures
• �ber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik
• Realization of a Minimal Disturbance Quantum Measurement

Cited by

• Noise and Disturbance in Quantum Measurements: An Information-Theoretic Approach
• Entropic trade-off relations for quantum operations