Impossibility of Measuring the Wave Function of a Single Quantum System

G. M. D'Ariano and H. P. Yuen
Phys. Rev. Lett. 76, 2832 – Published 15 April 1996
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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.

  • Received 6 September 1995

DOI:https://doi.org/10.1103/PhysRevLett.76.2832

©1996 American Physical Society

Authors & Affiliations

G. M. D'Ariano and H. P. Yuen

  • Department of Electrical Engineering and Computer Science, Department of Physics and Astronomy, Northwestern University, Evanston, Illinois 60208

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Issue

Vol. 76, Iss. 16 — 15 April 1996

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