Information from the correlations

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SUMMARY

The discussion centers on the properties of entangled particles in an EPR pair, highlighting that each particle possesses two degrees of freedom and that tracing out the system results in a density matrix with null Von Neumann entropy. This indicates that two bits of information are encoded in the correlation of the particles. The conversation also explores the potential to compute the information in the correlations among three particles (A, B, and C) after tracing out A and B to analyze the information stored in C.

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  • Understanding of quantum entanglement and EPR pairs
  • Familiarity with density matrices and Von Neumann entropy
  • Knowledge of quantum information theory
  • Basic concepts of tracing out in quantum systems
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naima
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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.
 
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