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Optimal phase estimation for qubit mixed states
Giacomo Mauro D'Ariano, Chiara Macchiavello, Paolo Perinotti
We address the problem of optimal estimation of the relative phase for two-dimensional quantum systems in mixed states. In particular, we derive the optimal measurement procedures…
Efficient universal programmable quantum measurements
Giacomo Mauro D'Ariano, Paolo Perinotti
A universal programmable detector is a device that can be tuned to perform any desired measurement on a given quantum system, by changing the state of an ancilla. With a finite dim…
Quantum calibration of measuring apparatuses
Giacomo Mauro D'Ariano, Lorenzo Maccone, Paoloplacido Lo Presti
By quantum calibration we name an experimental procedure apt to completely characterize an unknown measurement apparatus by comparing it with other calibrated apparatuses. Here we…
Operational distance and fidelity for quantum channels
Viacheslav P. Belavkin, Giacomo Mauro D'Ariano, Maxim Raginsky
We define and study a fidelity criterion for quantum channels, which we term the minimax fidelity, through a noncommutative generalization of maximal Hellinger distance between two…
Classical randomness in quantum measurements
Giacomo Mauro D'Ariano, Paoloplacido Lo Presti, Paolo Perinotti
Similarly to quantum states, also quantum measurements can be "mixed", corresponding to a random choice within an ensemble of measuring apparatuses. Such mixing is equivalent to a…
Economical Phase-Covariant Cloning of Qudits
Francesco Buscemi, Giacomo Mauro D'Ariano, Chiara Macchiavello
We derive the optimal N to M phase-covariant quantum cloning for equatorial states in dimension d with M=kd+N, k integer. The cloning maps are optimal for both global and single-qu…