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“No Information Without Disturbance”: Quantum Limitations of Measurement

Paul Busch

In Wayne C. Myrvold & Joy Christian (eds.), Quantum Reality, Relativistic Causality, and Closing the Epistemic Circle. Springer. pp. 229--256 (2009)

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Strongly Incompatible Quantum Devices.Teiko Heinosaari, Takayuki Miyadera & Daniel Reitzner - 2014 - Foundations of Physics 44 (1):34-57.details The fact that there are quantum observables without a simultaneous measurement is one of the fundamental characteristics of quantum mechanics. In this work we expand the concept of joint measurability to all kinds of possible measurement devices, and we call this relation compatibility. Two devices are incompatible if they cannot be implemented as parts of a single measurement setup. We introduce also a more stringent notion of incompatibility, strong incompatibility. Both incompatibility and strong incompatibility are rigorously characterized and their difference (...) is demonstrated by examples. (shrink) Download Export citation Bookmark 1 citation
Anomalous Weak Values are Caused by Disturbance.Asger C. Ipsen - 2022 - Foundations of Physics 52 (1):1-18.details In combination with post-selection, weak measurements can lead to surprising results known as anomalous weak values. These lie outside the bounds of the spectrum of the relevant observable, as in the canonical example of measuring the spin of an electron (along some axis) to be 100. We argue that the disturbance caused by the weak measurement, while small, is sufficient to significantly affect the measurement result, and that this is the most reasonable explanation of anomalous weak values. Download Export citation Bookmark
Noise–Disturbance Relation and the Galois Connection of Quantum Measurements.Claudio Carmeli, Teiko Heinosaari, Takayuki Miyadera & Alessandro Toigo - 2019 - Foundations of Physics 49 (6):492-505.details The relation between noise and disturbance is investigated within the general framework of Galois connections. Within this framework, we introduce the notion of leak of information, mathematically defined as one of the two closure maps arising from the observable-channel compatibility relation. We provide a physical interpretation for it, and we give a comparison with the analogous closure maps associated with joint measurability and simulability for quantum observables. Download Export citation Bookmark 1 citation

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