What Are the Key Differences Between Quantum and Classical Correlation?

yashar
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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?
 
Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...
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