Fast and robust quantum state tomography from few basis measurements
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- Fast and Robust Quantum State Tomography from
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Quantum state tomography is a powerful but resource-intensive, general solution for numerous quantum information processing tasks. This motivates the design of robust tomography procedures that use relevant resources as sparingly as possible. Important cost factors include the number of state copies and measurement settings, as well as classical postprocessing time and memory. In this work, we present and analyze an online tomography algorithm designed to optimize all the aforementioned resources at the cost of a worse dependence on accuracy. The protocol is the first to give provably optimal performance in terms of rank and dimension for state copies, measurement settings and memory. Classical runtime is also reduced substantially and numerical experiments demonstrate a favorable comparison with other state-of-the-art techniques. Further improvements are possible by executing the algorithm on a quantum computer, giving a quantum speedup for quantum state tomography.
Originalsprog | Engelsk |
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Titel | 16th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2021 |
Redaktører | Min-Hsiu Hsieh |
Forlag | Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing |
Publikationsdato | 2021 |
Artikelnummer | 7 |
ISBN (Elektronisk) | 9783959771986 |
DOI | |
Status | Udgivet - 2021 |
Begivenhed | 16th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2021 - Virtual, Online, Letland Varighed: 5 jul. 2021 → 8 jul. 2021 |
Konference
Konference | 16th Conference on the Theory of Quantum Computation, Communication and Cryptography, TQC 2021 |
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Land | Letland |
By | Virtual, Online |
Periode | 05/07/2021 → 08/07/2021 |
Navn | Leibniz International Proceedings in Informatics, LIPIcs |
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Vol/bind | 197 |
ISSN | 1868-8969 |
Bibliografisk note
Funding Information:
Funding Daniel Stilck França: D.S.F. acknowledges financial support from VILLUM FONDEN via the QMATH Centre of Excellence (Grant no. 10059). Fernando G.S L. Brandão: F.B. acknowledges funding from the US National Science Foundation (PHY1733907). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center. Richard Kueng: R.K. acknowledges funding from the US National Science Foundation (PHY1733907). The Institute for Quantum Information and Matter is an NSF Physics Frontiers Center.
Publisher Copyright:
© Daniel Stilck França, Fernando G.S L. Brandão, and Richard Kueng; licensed under Creative Commons License CC-BY 4.0
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