Experimentally exploring compressed sensing quantum tomography

Steffens A, Riofrio CA, Mccutcheon W, Roth I, Bell BA, Mcmillan A, Tame MS, Rarity JG, Eisert J (2017)

Publication Type: Journal article

Publication year: 2017

Journal

Quantum Science and Technology IOP Publishing

Book Volume: 2

Article Number: 025005

Journal Issue: 2

DOI: 10.1088/2058-9565/aa6ae2

Abstract

In the light of the progress in quantum technologies, the task of verifying the correct functioning of processes and obtaining accurate tomographic information about quantum states becomes increasingly important. Compressed sensing, a machinery derived from the theory of signal processing, has emerged as a feasible tool to perform robust and significantly more resource-economical quantum state tomography for intermediate-sized quantum systems. In this work, we provide a comprehensive analysis of compressed sensing tomography in the regime in which tomographically complete data is available with reliable statistics from experimental observations of a multi-mode photonic architecture. Due to the fact that the data is known with high statistical significance, we are in a position to systematically explore the quality of reconstruction depending on the number of employed measurement settings, randomly selected from the complete set of data, and on different model assumptions. We present and test a complete prescription to perform efficient compressed sensing and are able to reliably use notions of model selection and cross validation to account for experimental imperfections and finite counting statistics. Thus, we establish compressed sensing as an effective tool for quantum state tomography, specifically suited for photonic systems.

Involved external institutions

Freie Universität Berlin DE Germany (DE) University of Bristol GB United Kingdom (GB) University of Sydney (USYD) AU Australia (AU) University of KwaZulu-Natal (UKZN) ZA South Africa (ZA)

How to cite

APA:

Steffens, A., Riofrio, C.A., Mccutcheon, W., Roth, I., Bell, B.A., Mcmillan, A.,... Eisert, J. (2017). Experimentally exploring compressed sensing quantum tomography. Quantum Science and Technology, 2(2). https://doi.org/10.1088/2058-9565/aa6ae2

MLA:

Steffens, A., et al. "Experimentally exploring compressed sensing quantum tomography." Quantum Science and Technology 2.2 (2017).

BibTeX: Download