Understanding Faithful Measurement in Quantum Mechanics

  • Context: Graduate 
  • Thread starter Thread starter omidaut
  • Start date Start date
  • Tags Tags
    Measurement
Click For Summary
SUMMARY

Faithful measurement in Quantum Mechanics refers to a deterministic relationship between a subquantum element of physical reality and the observable value obtained through measurement. This concept is integral to the Kochen-Specker Theorem, which posits that if measurements are not faithful, the existence of hidden variables is challenged. The discussion clarifies that while faithful measurement is relevant to the study of Quantum Mechanics, it is not universally accepted as a fundamental aspect of the theory itself.

PREREQUISITES
  • Understanding of the Kochen-Specker Theorem
  • Familiarity with quantum measurement theory
  • Knowledge of deterministic versus stochastic functions
  • Basic concepts of hidden variables in Quantum Mechanics
NEXT STEPS
  • Research the implications of the Kochen-Specker Theorem on hidden variable theories
  • Explore the role of deterministic functions in quantum measurements
  • Study the differences between faithful and non-faithful measurements in Quantum Mechanics
  • Investigate alternative interpretations of Quantum Mechanics regarding measurement
USEFUL FOR

Physicists, quantum theorists, and students of Quantum Mechanics seeking to deepen their understanding of measurement concepts and their implications in quantum theory.

omidaut
Messages
10
Reaction score
0
What is ''faithful measurement'' in Quantum Mechanics exactly. I have seen this expression in Kochen-Specker Theorem.
 
Physics news on Phys.org
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.
 
Last edited:
  • Like
Likes   Reactions: vanhees71 and omidaut
It simply means that the measurement is the result of a specific (non-stochastic) function of some observable.
 
  • Like
Likes   Reactions: omidaut

Similar threads

Undergrad Lagrangian Mechanics, Continuous Particle Paths and QFT
  • · Replies 6 ·
Replies
6
Views
2K
Graduate Could there be a "Communication Theorem" instead of a "No-Communication Theorem" in quantum entanglement?
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Repeated measurements on a quantum system interacting with other quantum systems
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Von Neumann measurement scheme
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Confusions I have regarding Measurements in Quantum Mechanics
  • · Replies 11 ·
Replies
11
Views
3K
Graduate Bell's theorem vs Kochen–Specker theorem
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad States and observables in quantum mechanics
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad Is quantum mechanics imply nature is deterministic or probabilistic?
  • · Replies 8 ·
Replies
8
Views
3K
Graduate Does the existence of a POVM require an ancilla?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Solving the Schrodinger Equation for a particle being measured
  • · Replies 6 ·
Replies
6
Views
2K