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Conditional Probabilities and Collapse in Quantum Measurements
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Conditional Probabilities and Collapse in Quantum Measurements
Roberto Laura1  and Leonardo Vanni2
| (1) |
Departamento de Física y Química, F.C.E.I.A., Universidad Nacional de Rosario, Av. Pellegrini 250, 2000 Rosario, Argentina |
| (2) |
Instituto de Astronomía y Física del Espacio, Casilla de Correos 67, Sucursal 28, 1428 Buenos Aires, Argentina |
Received: 18 November 2007 Accepted: 21 January 2008 Published online: 30 January 2008
Abstract We show that including both the system and the apparatus in the quantum description of the measurement process, and using
the concept of conditional probabilities, it is possible to deduce the statistical operator of the system after a measurement
with a given result, which gives the probability distribution for all possible consecutive measurements on the system. This
statistical operator, representing the state of the system after the first measurement, is in general not the same that would
be obtained using the postulate of collapse.
Keywords Quantum measurements - Projection postulate - Conditional probabilities - Consecutive measurements
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