Position measuring interactions and the Heisenberg uncertainty principle

Abstract

An indirect measurement model is constructed for an approximately repeatable, precise position measuring apparatus that violates the assertion, sometimes called the Heisenberg uncertainty principle, that any position measuring apparatus with noise epsilon brings the momentum disturbance no less than hbar/2epsilon in any input state of the apparatus.

5 pages, REVTeX. Revised to include an argument showing that the model violates Heisenberg uncertainty principle without paying the price of abandoning the repeatability requirement

Cited by in corpus (25)

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• Brownian Entanglement
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• Measurement uncertainty relations for discrete observables: Relative entropy formulation
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• Correlations between detectors allow violation of the Heisenberg noise-disturbance principle for position and momentum measurements
• Uncertainty characteristics of generalized quantum measurements
• Measurement uncertainty relations for position and momentum: Relative entropy formulation
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• Heisenberg's uncertainty relation: Violation and reformulation
• Quantum Errors and Disturbances: Response to Busch, Lahti and Werner
• Measures of disturbance and incompatibility for quantum measurements
• Objective uncertainty relation with classical background in a statistical model
• Entanglement and separability in the noncommutative phase-space scenario
• Incompatible observables in classical physics: A closer look at measurement in Hamiltonian mechanics
• Proof of the Standard Quantum Limit for Monitoring Free-Mass Position