Journal
NATURE COMMUNICATIONS
Volume 8, Issue -, Pages -Publisher
NATURE PUBLISHING GROUP
DOI: 10.1038/ncomms15305
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Categories
Funding
- Templeton Foundation
- EU (RAQUEL)
- EU (AQuS)
- ERC (TAQ)
- Freie Universitat Berlin
- University of Cologne within the Excellence Initiative of the German Federal and State Governments
- DFG [SPP 1798 CoSIP, EI 519/7-1, EI 519/9-1, CRC 183, GRO 4334/2-1]
- Austrian Science Fund (FWF) through the SFB FoQus (FWF) [F4002-N16]
- Institut fur Quanteninformation GmbH
- BMBF (Q.com)
- Universities Australia
- DAAD (German Federal Ministry of Education and Research)
- Australian Research Council via EQuS project [CE11001013]
- US Army Research Office within QCVV program [W911NF-14-1-0098, W911NF-16-1-0070, W911NF-14-1-0103]
- Office of the Director of National Intelligence (ODNI), Intelligence Advanced Research Projects Activity (IARPA) through Army Research Office [W911NF-10-1-0284]
- Australian Research Council Future Fellowship [FT130101744]
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Well-controlled quantum devices with their increasing system size face a new roadblock hindering further development of quantum technologies. The effort of quantum tomography-the reconstruction of states and processes of a quantum device-scales unfavourably: state-of-the-art systems can no longer be characterized. Quantum compressed sensing mitigates this problem by reconstructing states from incomplete data. Here we present an experimental implementation of compressed tomography of a seven-qubit system-a topological colour code prepared in a trapped ion architecture. We are in the highly incomplete-127 Pauli basis measurement settings-and highly noisy-100 repetitions each-regime. Originally, compressed sensing was advocated for states with few non-zero eigenvalues. We argue that low-rank estimates are appropriate in general since statistical noise enables reliable reconstruction of only the leading eigenvectors. The remaining eigenvectors behave consistently with a random-matrix model that carries no information about the true state.
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