Abstract
Optimal generalized measurements for state estimation are well understood. However, practical quantum state tomography is typically performed using a fixed set of projective measurements, and the question of how to choose these measurements has been largely unexplored in the literature. In this work, we develop theoretical asymptotic bounds for the average fidelity of pure qubit tomography using measurement sets whose axes correspond to faces of Platonic solids. We also present comprehensive simulations of maximum likelihood tomography for mixed qubit states using the Platonic solid measurements. We show that overcomplete measurement sets can be used to improve the accuracy of tomographic reconstructions.
| Original language | English |
|---|---|
| Article number | 052122 |
| Pages (from-to) | 1-15 |
| Number of pages | 15 |
| Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
| Volume | 78 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 26 Nov 2008 |
Bibliographical note
Mark D. de Burgh, Nathan K. Langford, Andrew C. Doherty, and Alexei Gilchrist, Physical review A, Vol. 78, Article 052122, 2008. Copyright 2008 by the American Physical Society. The original article can be found at http://link.aps.org/doi/10.1103/PhysRevA.78.052122Fingerprint Dive into the research topics of 'Choice of measurement sets in qubit tomography'. Together they form a unique fingerprint.
Cite this
De Burgh, M. D., Langford, N. K., Doherty, A. C., & Gilchrist, A. (2008). Choice of measurement sets in qubit tomography. Physical Review A - Atomic, Molecular, and Optical Physics, 78(5), 1-15. [052122]. https://doi.org/10.1103/PhysRevA.78.052122