Impossibility of Measuring the Wave Function of a Single Quantum System
- 15 April 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 76 (16) , 2832-2835
- https://doi.org/10.1103/physrevlett.76.2832
Abstract
The general impossibility of determining the state of a single quantum system is proved for arbitrary measuring schemes, including a succession of measurements. Some recently proposed methods are critically examined. A scheme for tomographic measurements on a single copy of a radiation field is devised, showing that the system state is perturbed however weak the system-apparatus interaction is, due to the need of preparing the apparatus in a highly “squeezed” state.Keywords
This publication has 12 references indexed in Scilit:
- Homodyne detection of the density matrix of the radiation fieldPhysical Review A, 1995
- Inhibition of the Measurement of the Wave Function of a Single Quantum System in Repeated Weak Quantum Nondemolition MeasurementsPhysical Review Letters, 1995
- Reversible Quantum Measurements on a Spin ½ and Measuring the State of a Single SystemPhysical Review Letters, 1995
- Detection of the density matrix through optical homodyne tomography without filtered back projectionPhysical Review A, 1994
- Reversible Quantum Measurements on a Spin 1/2 and Measuring the State of a Single SystemPhysical Review Letters, 1994
- Reality and measurement of the wave functionPhysical Review A, 1994
- Meaning of the wave functionPhysical Review A, 1993
- Logical reversibility in quantum-nondemolition measurementsPhysical Review A, 1993
- Measurement of the Wigner distribution and the density matrix of a light mode using optical homodyne tomography: Application to squeezed states and the vacuumPhysical Review Letters, 1993
- Reversibility in quantum measurement processesPhysical Review Letters, 1992