627 citations · 11.1k across the 229 of their papers we have counts for
18 papers · 2 filters
Where the mathematical structure of Quantum Mechanics coms from
Giacomo Mauro D'Ariano
The mathematical formulation of Quantum Mechanics is derived from purely operational axioms based on a general definition of "experiment" as a set of transformations. The main ingr…
Operational Axioms for Quantum Mechanics
Giacomo Mauro D'Ariano
The mathematical formulation of Quantum Mechanics in terms of complex Hilbert space is derived for finite dimensions, starting from a general definition of "physical experiment" an…
Quantum erasure of decoherence
F. Buscemi, G. Chiribella, G. M. D'Ariano
We consider the classical algebra of observables that are diagonal in a given orthonormal basis, and define a complete decoherence process as a completely positive map that asympto…
Applications of the group SU(1,1) for quantum computation and tomography
G. Chiribella, G. M. D'Ariano, P. Perinotti
This paper collects miscellaneous results about the group SU(1,1) that are helpful in applications in quantum optics. Moreover, we derive two new results, the first is about the ap…
Optimal data processing for quantum measurements
Giacomo Mauro D'Ariano, Paolo Perinotti
We consider the general measurement scenario in which the ensemble average of an operator is determined via suitable data-processing of the outcomes of a quantum measurement descri…
Optimal quantum circuits for general phase estimation
W. van Dam, G. M. D'Ariano, A. Ekert +2
We address the problem of estimating the phase phi given N copies of the phase rotation gate u(phi). We consider, for the first time, the optimization of the general case where the…