Predicting many properties of a quantum system from very few measurements

• Published in: Nature physics Vol. 16; no. 10; pp. 1050 - 1057
• Main Authors: Huang, Hsin-Yuan, Kueng, Richard, Preskill, John
• Format: Journal Article
• Language: English
• Published: London Nature Publishing Group UK 01.10.2020; Nature Publishing Group
• Subjects: 639/705; 639/766/259; 639/766/483; 639/766/483/481; 639/766/483/640; Approximation; Atomic; Circuits; Classical and Continuum Physics; Complex Systems; Condensed Matter Physics; Entropy; Hamiltonian functions; Information theory; Lower bounds; Mathematical and Computational Physics; Molecular; Optical and Plasma Physics; Physics; Physics and Astronomy; Properties (attributes); Quantum entanglement; Quantum theory; Shadows; Theoretical; Tomography

Predicting the properties of complex, large-scale quantum systems is essential for developing quantum technologies. We present an efficient method for constructing an approximate classical description of a quantum state using very few measurements of the state. This description, called a ‘classical...