Reconstruction of the spin state

Abstract

System of 1/2 spin particles is observed repeatedly using Stern-Gerlach apparatuses with rotated orientations. Synthesis of such non-commuting observables is analyzed using maximum likelihood estimation as an example of quantum state reconstruction. Repeated incompatible observations represent a new generalized measurement. This idealized scheme will serve for analysis of future experiments in neutron and quantum optics.

4 pages, 1 figure

Cited by in corpus (21)

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• Optimal scheme for estimating a pure qubit state via local measurements
• Distinguishability of apparatus states in quantum measurement in the Stern-Gerlach experiment
• Information propagation in a quantum system. Examples of open spin-1/2 chains
• Image processing as state reconstruction in optics
• A polarization maintaining scheme for 1.5 μm polarization entangled photon pair generation in optical fibers
• Emergence of the Born rule in quantum optics
• Quantum theory of incompatible observations
• Quantum state tomography using a single apparatus
• Extracting an arbitrary relative phase from a multiqubit two-component entangled state
• Numeric estimation of resource requirements for a practical polarization-frame alignment scheme for QKD
• Retrieving space-dependent polarization transformations via near-optimal quantum process tomography
• Simple Adaption of Measurements for Qudit Estimation
• Stern-Gerlach Entanglement in Spinor Bose-Einstein Condensates
• Entanglement-assisted tomography of a quantum target
• Data processing for qubit state tomography: An information geometric approach