Information-disturbance tradeoff in quantum measurements

Abstract

We present a simple information-disturbance tradeoff relation valid for any general measurement apparatus: The disturbance between input and output states is lower bounded by the information the apparatus provides in distinguishing these two states.

4 Pages, 1 Figure. Published version (reference added and minor changes performed)

References in corpus (9)

• Noncommuting mixed states cannot be broadcast
• Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information
• Uncertainty Relations for Noise and Disturbance in Generalized Quantum Measurements
• Causal and localizable quantum operations
• Optimal local discrimination of two multipartite pure states
• Fidelity balance in quantum operations
• Position measuring interactions and the Heisenberg uncertainty principle
• Fidelity preserving maps on density operators
• The Conal representation of Quantum States and Non Trace-Preserving Quantum Operations

Cited by in corpus (38)

• Optimal quantum estimation of loss in bosonic channels
• Thermometry in the quantum regime: Recent theoretical progress
• Quantum Cloning Machines and the Applications
• Efficient universal blind computation
• Information-disturbance tradeoff in estimating a maximally entangled state
• Entropic information-disturbance tradeoff
• Information-Disturbance Tradeoff in Quantum State Discrimination
• Information loss in local dissipation environments
• Dynamics of encrypted information in the presence of imperfect operations
• Trade-off between information and disturbance in qubit thermometry
• Entropic trade-off relations for quantum operations
• Non-unity gain minimal disturbance measurement
• Information - Disturbance Tradeoff in the Estimation of a Unitary Transformation
• Information, fidelity, and reversibility in single-qubit measurements
• Information, fidelity, and reversibility in general quantum measurements
• Information-disturbance tradeoff for spin coherent state estimation
• Complementarity Relation for Coherence and Disturbance
• The role of system-meter entanglement in controlling the resolution and decoherence of quantum measurements
• Gravitational parameter estimation in a waveguide
• Information and disturbance in operational probabilistic theories
• Dependence of measurement outcomes on the dynamics of quantum coherent interactions between the system and the meter
• Information and fidelity in projective measurements
• Measurement uncertainty from no-signaling and non-locality
• Measurement sharpness and disturbance tradeoff
• Coherence-variance uncertainty relation and coherence cost for quantum measurement under conservation laws
• Experimental Quantum Probing Measurements With No Knowledge on the System-Probe Interaction
• Quantum classification
• Information gain versus coupling strength in quantum measurements
• Derivative of the disturbance with respect to information from quantum measurements
• Allowed region and optimal measurement for information versus disturbance in quantum measurements
• Measurement-Disturbance Tradeoff Outperforming Optimal Cloning
• Relating measurement disturbance, information and orthogonality
• Information conservation relations for weak measurement and its reversal
• Local trade-off between information and disturbance in quantum measurements
• Origin of meter fluctuations in weak measurement interactions
• Violation of the "information-disturbance relationship" in finite-time quantum measurements
• Finite-size security of QKD: comparison of three proof techniques
• Information leak and incompatibility of physical context: A modified approach