Difference between revisions of "Measurement"
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Measurement is an action to [[Assessment|assess]] certain qualities or properties of a system or object. This is highly related to the notion of [[test]]. One of the most essential ideas in measurement is the notion of [[invariance]]. It means that measurement must be done against some non-changing unit or reference. This non-changing, or [[invariance|invariant]] requirement is a form of [[symmetry]]. Therefore, it is fair to say that all measurements must be conducted under some form of [[symmetries]]. | Measurement<ref>{{:Paper/An introduction to measure theory}}</ref> is an action to [[Assessment|assess]] certain qualities or properties of a system or object. This is highly related to the notion of [[test]]. One of the most essential ideas in measurement is the notion of [[invariance]]. It means that measurement must be done against some non-changing unit or reference. This non-changing, or [[invariance|invariant]] requirement is a form of [[symmetry]]. Therefore, it is fair to say that all measurements must be conducted under some form of [[symmetries]]. | ||
=Measurement and Maxwell's Demon= | =Measurement and Maxwell's Demon= | ||
Revision as of 10:03, 3 September 2021
Measurement[1] is an action to assess certain qualities or properties of a system or object. This is highly related to the notion of test. One of the most essential ideas in measurement is the notion of invariance. It means that measurement must be done against some non-changing unit or reference. This non-changing, or invariant requirement is a form of symmetry. Therefore, it is fair to say that all measurements must be conducted under some form of symmetries.
Measurement and Maxwell's Demon
One can think of Maxwell's Demon(MxD) as a primitive form of measuring device. It provides two possible states that enable the observer or MxD to give a single bit of answer. In other words, every MxD is the measuring device for one bit of information in a given physical spacetime context.
Quantum Measurements
An introductory talk on quantum bits and measurements can be found here[2]. All measurements can be defined in terms of logic models.
References
- ↑ Tao, Terrence (2011). "An introduction to measure theory" (PDF). local page: Graduate Studies in Mathematics.
- ↑ Bäumer, Elisa (Sep 2, 2020). Qubits and Quantum States, Quantum Circuits, Measurements. local page: Qiskit. Retrieved 1 September 2021.