Quantum state tomography by continuous measurement and compressed sensing

A. Smith; C. A. Riofrío; B. E. Anderson; H. Sosa-Martinez; I. H. Deutsch; P. S. Jessen

doi:10.1103/PhysRevA.87.030102

Quantum state tomography by continuous measurement and compressed sensing

A. Smith, C. A. Riofrío, B. E. Anderson, H. Sosa-Martinez, I. H. Deutsch, P. S. Jessen

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58 Scopus citations

Abstract

The need to perform quantum state tomography on ever-larger systems has spurred a search for methods that yield good estimates from incomplete data. We study the performance of compressed sensing (CS) and least squares (LS) estimators in a fast protocol based on continuous measurement on an ensemble of cesium atomic spins. They both efficiently reconstruct nearly pure states in the 16-dimensional ground manifold, reaching average fidelities F _̄CS=0.92 and F_̄LS=0.88 using similar amounts of incomplete data. Surprisingly, the main advantage of CS in our protocol is an increased robustness to experimental imperfections.

Original language	English (US)
Article number	030102
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	87
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.87.030102
State	Published - Mar 11 2013

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1103/PhysRevA.87.030102

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AU - Jessen, P. S.

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Quantum state tomography by continuous measurement and compressed sensing

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