Bonn 2000 – scientific programme

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Q: Quantenoptik

Q 31: Quanteninformation III

Q 31.2: Talk

Thursday, April 6, 2000, 14:30–14:45, HS XII

Distinguishability of non-orthogonal quantum states in higher dimensional Hilbert spaces — •Aldo Delgado and Gernot Alber — Abteilung für Quantenphysik, Universität Ulm, D-89069 Ulm, Germany

It is known that two non-orthogonal qubits can be distinguished with the help of non-linear quantum maps [1]. We generalize this result to N non-orthogonal states in a N-dimensional Hilbert space and show that the iteration of these non-linear quantum maps leads to perfect distinguishability of certain sets of non-orthogonal quantum states. We illustrate our considerations in the case of three non-orthogonal quantum states in a three-dimensional Hilbert space.
Financial support by the DFG within the SPP quantum-information-processing is acknowledged.

[1] H. Bechmann-Pasquinucci, B. Huttner and N. Gisin, Phys. Lett. A, 242, 198-204 (1998).