The paper discuss the structure of quantum mechanics and uniqueness of its postulates. The Born rule for quantum probabilities is fixed by requirement of nonexistence of quantum telepathy. Von Neumann projection postulate describes the transformation of quantum state under the condition of no-interaction measurement. Projection postulate could be considered as transition to conditional probability under the condition of a certain result of quantum measurement.
On Uniqueness of the Jump Process in Quantum Measurement Theory
Verification of the Born rule via direct measurement of superposition wavefunction
Unified Quantum Dynamics: The Emergence of the Born Rule
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