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A quantum algorithm for estimating the determinant
Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone
We present a quantum algorithm for estimating the matrix determinant based on quantum spectral sampling. The algorithm estimates the logarithm of the determinant of an …
Quantum optical classifier with superexponential speedup
Simone Roncallo, Angela Rosy Morgillo, Chiara Macchiavello +2
Classification is a central task in deep learning algorithms. Usually, images are first captured and then processed by a sequence of operations, of which the artificial neuron repr…
Number of bits returned by a quantum estimation
Xi Lu, Wojciech Górecki, Chiara Macchiavello +1
We give two upper bounds to the mutual information in arbitrary quantum estimation strategies. The first is based on some simple Fourier properties of the estimation apparatus. The…
Mutual Information Bounded by Fisher Information
Wojciech Górecki, Xi Lu, Chiara Macchiavello +1
We derive a general upper bound to mutual information in terms of the Fisher information. The bound may be further used to derive a lower bound for the Bayesian quadratic cost. The…
A protocol for global multiphase estimation
Giovanni Chesi, Roberto Rubboli, Alberto Riccardi +2
Global estimation strategies allow to extract information on a phase or a set of phases without any prior knowledge, which is, instead, required for local estimation strategies. We…
Pauli transfer matrix direct reconstruction: channel characterization without full process tomography
Simone Roncallo, Lorenzo Maccone, Chiara Macchiavello
We present a tomographic protocol for the characterization of multiqubit quantum channels. We discuss a specific class of input states, for which the set of Pauli measurements at t…