Is the Reduced Spin State of an Entangled Particle an Improper Mixture?

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The discussion centers on the concept of the reduced state density matrix of entangled particles, specifically questioning whether it can be classified as an "improper mixture." The user seeks clarity on the interpretation of reduced spin states, emphasizing that these states do not represent classical probabilities of spin states. The reference to section 3.2 of the IAS Report provides a foundational basis for understanding the nuances of quantum entanglement and state representation.

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metroplex021
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Hi there -- can anyone give me, or point me to, an argument that the reduced state density matrix corresponding to one of a pair of entangled particles is an `improper mixture' -- that is, that the particle with that reduced state (a reduced spin state, say) cannot be understood as being in some spin state with some (classical) probability, but we just don't know which?

Any help much appreciated!
 
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Thank you! That is indeed helpful.
 

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