Quantumstate disturbance versus information gain: Uncertainty relations for quantum information
Abstract
When an observer wants to identify a quantum state, which is known to be one of a given set of nonorthogonal states, the act of observation causes a disturbance to that state. We investigate the tradeoff between the information gain and that disturbance. This issue has important applications in quantum cryptography. The optimal detection method, for a given tolerated disturbance, is explicitly found in the case of two equiprobable nonorthogonal pure states.
 Publication:

Physical Review A
 Pub Date:
 April 1996
 DOI:
 10.1103/PhysRevA.53.2038
 arXiv:
 arXiv:quantph/9512023
 Bibcode:
 1996PhRvA..53.2038F
 Keywords:

 03.65.Bz;
 Quantum Physics
 EPrint:
 20 pages, standard LaTeX, four png figures (also available from the authors: peres@photon.technion.ac.il and cfuchs@tangelo.phys.unm.edu)