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Restrictions on Information Transfer in Quantum Measurements and State Collapse

S. Mayburov
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Abstract

Information-theoretical restrictions on the information transfer in quantum measurements are studied. They are derived for the measurement of system S by detector D, registrated and processed by information system O. The formalism of inference maps in Hilbert space is used for it; it permit to calculate O restricted state which contains available for O information on S parameters. It's shown that the principal information losses, inevitable in this formalism and induced by Heisenberg commutation relations, stipulate the stochasticity of measurement outcomes, registrated by O in the individual events.

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S. Mayburov. 2007-06-28. Restrictions on Information Transfer in Quantum Measurements and State Collapse. https://arxiv.org/abs/quant-ph/0610215

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