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Quantum state estimation
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New algorithm for quantum state estimation based on the maximum likelihood estimation is proposed. Existing techniques for state reconstruction based on the inversion of measured data are shown to be overestimated since they do not guarantee the positive definiteness of the reconstructed density matrix.
Forward citations
Cited by 3 Pith papers
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Exponential quantum advantage for learning signals with a single qubit
Coupling one controllable qubit to a bosonic sensor gives a provable exponential reduction in the number of measurements needed to learn Fourier coefficients and temporal correlations of classical signals, with a 10^7...
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Quantum Machine Learning for State Tomography Using Classical Data
A variational quantum circuit trained solely on classical measurement outcomes reconstructs diverse quantum states including GHZ, spin-chain ground states, and random circuits with fidelities above 90% on simulators a...
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Connecting Quantum Tomography and Quantum Retrodiction
The Petz recovery map equals the gradient of the log-likelihood in maximum-likelihood tomography, unifying retrodiction and state reconstruction via a shared iterative procedure.
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