Information Constraints in Quantum Measurements and State Collapse

• URL: http://arxiv.org/abs/1005.3691v3
• Date: Wed, 21 May 2025 14:13:47 GMT
• Title: Information Constraints in Quantum Measurements and State Collapse
• Authors: S. Mayburov,
• Abstract summary: Quantum-mechanical constraints on information transfer in measuring systems and their influence on measurement results studied.<n>It's shown that during the measurement these constraints obstacle the acquisition of information by $cal A$, characterizing purity of $cal S$ ensemble.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum-mechanical constraints on information transfer in measuring systems and their influence on measurement results studied. As the example, measurement of binary observable $S_z$ of object $\cal S$ by measuring apparatus $\cal A$ considered. It's shown that during the measurement these constraints obstacle the acquisition of information by $\cal A$, characterizing purity of $\cal S$ ensemble. Due to it, $\cal A$ can't discriminate pure and mixed $\cal S$ ensembles with the same $S_z$ expectation value. In algebraic measurement ansatz by Emch such information loss results in stochastic $S_z$ measurement outcomes for pure $\cal S$ ensemble, their probabilities obey to Born postulate, i.e. it corresponds to quantum state collapse. Account of $\cal A$ state decoherence doesn't change obtained results principally.

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