Incomplete quantum state estimation: a comprehensive study

Abstract

We present a detailed account of quantum state estimation by joint maximization of the likelihood and the entropy. After establishing the algorithms for both perfect and imperfect measurements, we apply the procedure to data from simulated and actual experiments. We demonstrate that the realistic situation of incomplete data from imperfect measurements can be handled successfully.

11 pages, 10 figures

References in corpus (3)

• Reconstruction of non-classical cavity field states with snapshots of their decoherence
• Diluted maximum-likelihood algorithm for quantum tomography
• Knowledge and ignorance in incomplete quantum state tomography

Cited by in corpus (4)

• Quantum Tomography via Compressed Sensing: Error Bounds, Sample Complexity, and Efficient Estimators
• Imperfect measurements settings: implications on quantum state tomography and entanglement witnesses
• Optimal two-qubit tomography based on local and global measurements: Maximal robustness against errors as described by condition numbers
• Fourier Transform Quantum State Tomography