Numerical strategies for quantum tomography: Alternatives to full optimization
- 9 February 2009
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 79 (2) , 022109
- https://doi.org/10.1103/physreva.79.022109
Abstract
We examine a variety of strategies for numerical quantum-state estimation from data of the sort commonly measured in experiments involving quantum-state tomography. We find that, in some important circumstances, an elaborate and time-consuming numerical optimization to obtain the optimum density matrix corresponding to a given data set is not necessary and that cruder, faster numerical techniques may well be sufficient; in other words, “the best” is the enemy of “good enough.”Keywords
This publication has 8 references indexed in Scilit:
- Robust Quantum Error Correction via Convex OptimizationPhysical Review Letters, 2008
- Scalable multiparticle entanglement of trapped ionsNature, 2005
- Matrix Calculus and Zero-One MatricesPublished by Cambridge University Press (CUP) ,2001
- Measurement of qubitsPhysical Review A, 2001
- Potential multiparticle entanglement measurePhysical Review A, 2001
- Entanglement of Formation of an Arbitrary State of Two QubitsPhysical Review Letters, 1998
- Fidelity for Mixed Quantum StatesJournal of Modern Optics, 1994
- Quantum MechanicsAmerican Journal of Physics, 1979