Information from the correlations

In summary, the conversation discusses the concept of entanglement in an EPR pair and how it relates to information encoding. Tracing out the system reveals the density matrix of each particle, with null Von Neumann entropy indicating a two-bit correlation. In a system with three particles, tracing out two allows for the computation of the information stored on the remaining particle. The question is posed if it is possible to calculate the information in the correlations between each pair of particles.
  • #1
naima
Gold Member
938
54
We know that in an EPR pair the particles are maximally entangled. each of them has 2 degrees of freedom (one bit). Tracing out the system gives the density matrix of each particle. Their Von Neumann entropy is null so we may say that two bits are encoded in the correlation. If they are loosely entangled information is encoded in the particles and in the correlation
With a pure state system of 3 particles (A B C) we can trace out A and B so we find the part of in formation stored on C. Is it possible to compute the information in the correlations between A and B, B and C, C and A?
Thanks.
 
Physics news on Phys.org
  • #2
Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 

1. What is the purpose of using correlations in information analysis?

Correlations are used to measure the strength and direction of the relationship between two variables. This helps in understanding patterns and making predictions based on the available data.

2. How are correlations calculated?

Correlations are calculated using statistical methods such as Pearson's correlation coefficient or Spearman's rank correlation coefficient. These methods use the values of the two variables to determine the strength and direction of the relationship between them.

3. What does a correlation coefficient value indicate?

A correlation coefficient value ranges from -1 to +1. A value of 0 indicates no correlation, while a value closer to +1 or -1 indicates a strong positive or negative correlation, respectively.

4. Can correlations be used to establish causation?

No, correlations only show a relationship between two variables but do not imply causation. Other factors and variables may be influencing the relationship between the two variables being studied.

5. How should correlations be interpreted?

Correlations should be interpreted in the context of the data and the variables being studied. It is important to look at other factors and consider the limitations of the data before drawing conclusions based on correlations alone.

Similar threads

I Information diagram for entangled particles?
    • Quantum Physics
Replies
26
Views
1K
I Have You Heard of the SEW Experiment? Thoughts?
    • Quantum Physics
Replies
2
Views
275
A Fisher information from likelihood function for quantum circuits
    • Quantum Physics
Replies
0
Views
281
B Is spacetime a quantum error correcting code?
    • Quantum Physics
Replies
2
Views
1K
B Quantum Entanglement information transmission idea to knock down....
    • Quantum Physics
2
Replies
41
Views
2K
I 3 polarizers -- correlations of correlations
    • Quantum Physics
Replies
2
Views
1K
I Are entanglement correlations truly random?
    • Quantum Physics
3
Replies
92
Views
8K
B Information transfer using entanglement?
    • Quantum Physics
Replies
31
Views
3K
A Can entanglement be detected in a single Bell pair?
    • Quantum Physics
Replies
1
Views
819
I The general structure of relativistic QFTs
    • Quantum Physics
3
Replies
87
Views
5K

Hot Threads

Recent Insights

Back
Top