Quantum state tomography via compressed sensing
- We establish methods for quantum state tomography based on compressed sensing. These methods are specialized for quantum states that are fairly pure, and they offer a significant performance improvement on large quantum systems. In particular, they are able to reconstruct an unknown density matrix of dimension d and rank r using O(rdlog(2)d) measurement settings, compared to standard methods that require d(2) settings. Our methods have several features that make them amenable to experimental implementation: they require only simple Pauli measurements, use fast convex optimization, are stable against noise, and can be applied to states that are only approximately low rank. The acquired data can be used to certify that the state is indeed close to pure, so no a priori assumptions are needed.
| Author details: | David Gross, Yi-Kai Liu, Steven T. Flammia, Stephen Becker, Jens Eisert |
|---|---|
| URL: | http://prl.aps.org/ |
| DOI: | https://doi.org/10.1103/Physrevlett.105.150401 |
| ISSN: | 0031-9007 |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2010 |
| Publication year: | 2010 |
| Release date: | 2017/03/25 |
| Source: | Physical review letters. - ISSN 0031-9007. - 105 (2010), 15, Art. 150401 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie |
| Peer review: | Referiert |
