Quantum state tomography by continuous measurement and compressed sensing
arXiv:1208.5015 · doi:10.1103/PhysRevA.87.030102
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. Both efficiently reconstruct nearly pure states in the 16-dimensional ground manifold, reaching average fidelities FCS = 0.92 and FLS = 0.88 using similar amounts of incomplete data. Surprisingly, the main advantage of CS in our protocol is an increased robustness to experimental imperfections.
References in corpus (5)
- Choice of Measurement Sets in Qubit Tomography
- Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
- Hamiltonian tomography in an access-limited setting without state initialization
- Two-Qubit Hamiltonian Tomography by Bayesian Analysis of Noisy Data
- Quantum control of the hyperfine-coupled electron and nuclear spins in alkali atoms