What Are the Key Differences Between Quantum and Classical Correlation?

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The discussion centers on the distinctions between quantum and classical correlation, emphasizing the context-dependent nature of correlation. Classical correlations are linked to coherence theory in optics, particularly in laser beams, while quantum correlations arise from entangled particles. The correlation function, represented as , indicates that if the correlation does not vanish, observables corresponding to operators B(t) and B(s) are interdependent across different times, suggesting a direct influence of one observable on another.

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hi
i want to know that what is quantum and classical correlation.
is there any book or paper?
thanks
 
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That is a very general question, can you be more specific? In optics, classical correlations can be discussed in the context of coherence theory, such as in a laser beam. In quantum, particles are often said to have non-classical correlations when they are entangled. But meaning of correlation always depends upon the context.
 
i want to know what is physical idea behind "correlation function"

as you know in quantum we define <B(t)B(s)> , B(t) and B(s) are operators in different time. and angular bracket shows averaging.

is this definition say that if correlation function does not vanish then the observables corresponding to operators B(t) depend on each other in different time? in other words if correlation function does not vanish does the value of observable in time s affect the value of observable in time t?
 

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