Understanding Faithful Measurement in Quantum Mechanics

In summary, faithful measurement in Quantum Mechanics refers to a measurement that is deterministic, meaning there is a direct relationship between a subquantum element of physical reality and the value obtained through measurement. This concept is relevant in the study of QM, as seen in the Kochen-Specker Theorem, which requires the assumption of faithful measurement to be applicable. However, since most physicists do not interpret QM in terms of hidden values, the idea of faithful measurement may not align with the traditional understanding of QM.
  • #1
omidaut
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What is ''faithful measurement'' in Quantum Mechanics exactly. I have seen this expression in Kochen-Specker Theorem.
 
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To quote wiki (http://en.wikipedia.org/wiki/Kochen–Specker_theorem:
For such more general theories the KS theorem is applicable only if the measurement is assumed to be a faithful one, in the sense that there is a deterministic relation between a subquantum element of physical reality and the value of the observable found on measurement.
In this case "subquantum element" is a supposed "hidden value".
Since KS argues against hidden values and hidden values are not how most physicists interpret QM, it's probably not correct to say that "faithful measurement" is part of QM - only as part of the study of QM.
 
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  • #3
.Scott said:
To quote wiki (http://en.wikipedia.org/wiki/Kochen–Specker_theorem:
In this case "subquantum element" is a supposed "hidden value".
thanks for your reply. but again I cannot understand the exact definition of faithful measurement :/
 
  • #4
It simply means that the measurement is the result of a specific (non-stochastic) function of some observable.
 
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FAQ: Understanding Faithful Measurement in Quantum Mechanics

What is Faithful Measurement?

Faithful measurement is a concept in science that refers to the accuracy and reliability of a measurement. It involves ensuring that the measurement process is free from bias and consistently produces similar results when repeated.

Why is Faithful Measurement important in science?

Faithful measurement is essential in science because it provides a basis for making valid conclusions and interpretations from data. Without faithful measurement, the results may be unreliable and misleading, leading to incorrect conclusions and potentially harmful decisions.

What are some examples of Faithful Measurement in science?

Some examples of faithful measurement in science include using precise instruments to measure physical quantities such as length, mass, and time, and calibrating the instruments to ensure their accuracy. In experiments, faithful measurement can be achieved by controlling variables and eliminating sources of bias.

How can scientists ensure Faithful Measurement?

Scientists can ensure faithful measurement by using standardized procedures and protocols, calibrating instruments, and taking repeated measurements. They should also be aware of potential sources of bias and take steps to minimize their impact on the results.

What are the consequences of not having Faithful Measurement in science?

Not having faithful measurement in science can lead to inaccurate and unreliable results, which can have serious consequences. It can result in incorrect conclusions and interpretations, which can hinder scientific progress and potentially harm the environment or human health.

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