Work

Statistical Distinguishability between Unitary Operations

Year: 2001
Type: article
Abstract: The problem of distinguishing two unitary transformations, or quantum gates, is analyzed and a function reflecting their statistical distinguishability is found. Given two unitary operations, U1 and U2, it is proved that there always exists a finite number N such that U(x in circle N)(1) and U(x in circle N)(2) are perfectly distinguishable, although they were not in the single-copy case. This result can be extended to any finite set of unitary transformations. Finally, a fidelity for one-qubit gates, which satisfies many useful properties from the point of view of quantum information theory, is presented.
Author: A. Acín
Language: English
Open Access status: green
OpenAlex ID: W2050480610
FWCI: 1.288
Cites: 13
Cited by: 300
Related to: 10