Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information

Details Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information Quantum State Disturbance vs. Information Gain: Uncertainty Relations for Quantum Information

1995-12-22

arxiv.org/abs/quant-ph/9512023v1

Physics

Quantum Physics

20 pages, standard LaTeX, four png figures (also available from the authors: peres@photon.technion.ac.il and cfuchs@tangelo.ph

Scientific paper

10.1103/PhysRevA.53.2038

When an observer wants to identify a quantum state, which is known to be one of a given set of non-orthogonal 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 non-orthogonal pure states.

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