Information-disturbance tradeoff in estimating a unitary transformation

Journal Article · Wed Dec 15 00:00:00 EST 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.062305· OSTI ID:21528834

Bisio, Alessandro; D'Ariano, Giacomo Mauro; Perinotti, Paolo ^[1]; Chiribella, Giulio ^[2]

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1. QUIT Group, Dipartimento di Fisica 'A. Volta', INFN Sezione di Pavia, via Bassi 6, I-27100 Pavia (Italy)
2. Perimeter Institute for Theoretical Physics, 31 Caroline St. North, Waterloo, Ontario N2L 2Y5 (Canada)

We address the problem of the information-disturbance tradeoff associated to the estimation of a quantum transformation and show how the extraction of information about a black box causes a perturbation of the corresponding input-output evolution. In the case of a black box performing a unitary transformation, randomly distributed according to the invariant measure, we give a complete solution of the problem, deriving the optimal tradeoff curve and presenting an explicit construction of the optimal quantum network.

• OSTI ID: 21528834
• Journal Information: Physical Review. A, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevA.82.062305; (c) 2010 American Institute of Physics; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIAGRAMS
DISTURBANCES
MATHEMATICAL EVOLUTION
MATHEMATICAL SOLUTIONS
QUANTUM INFORMATION
TRANSFORMATIONS
EVOLUTION
INFORMATION