Article citationsMore>>

Ozawa, M. (2003) Universally Valid Reformulation of the Heisenberg Uncertainty Principle on Noise and Disturbance in Measurements. Physical Review A, 67, Article ID: 042105.
https://doi.org/10.1103/PhysRevA.67.042105
Ozawa, M. (2015) Heisenberg’s Original Derivation of the Uncertainty Principle and Its Universally Valid Reformulation. Current Science, 109, 2006-2016.
http://arxiv.org/abs/1507.02010v2
https://doi.org/10.18520/cs/v109/i11/2006-2016
Busch, P., Lahti, P.P. and Werner, R. (2013) Proof of Heisenberg’s Error-Disturbance Relation. Physical Review Letters, 111, Article ID: 160405.
Busch, P., Laht, P. and Werner, R. (2014) Measurement Uncertainty: Reply to Critics.
http://arxiv/abs/1402.3102v1
Lund, A.P. and Wiseman, H.M. (2010) Measuring Measurement-Disturbance Relationships with Weak Values. New Journal of Physics, 12, Article ID: 093011.
Appleby, D.M. (2016) Quantum Errors and Disturbances: Response to Busch, Lahti and Werner. Entropy, 18, 174.
https://doi.org/10.3390/e18050174

has been cited by the following article:

• TITLE: Quantum Local Causality in Non-Metric Space

  AUTHORS: Fosco Ruzzene

  KEYWORDS: Quantum Foundations, Heisenberg Gedanken Experiments, Error-Disturbance Relations, Quantum Locality, Non-Metric Space

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.6, June 14, 2018

  ABSTRACT: The possibility that quantum mechanics is founded on non-metric space has been previously introduced as an alternative consequence of Bell inequalities violation. This work develops the concept further by an analysis of the iconic Heisenberg gedanken experiment. No lower bound is found in the gedanken uncertainly relation for a non-metric spatial background. This result has the fundamental consequence that the quantum particle trajectory is retained in non-metric space and time. Assignment of measurement number-values to unmeasured incompatible variables is found to be mathematically incorrect. The current disagreement between different formulations of the empirically verified error-disturbance relations can be explained as a consequence of the structure of space. Quantum contextuality can likewise be explained geometrically. An alternative analysis of the extendedEPRperfect anti-correlation configuration is given. The consensus that local causality is the sole assumption is found to be incorrect. There is also the additional assumption of orientation independence. Inequalities violation does not therefore mandate rejection of local causality. Violation of the assumption of orientation independence implies rejection of metric, non-contextual variables algebraically representing physical quantities.