2018/02/09 by Sacha Schwarz, Schwarz, Sacha, Bruno Eckmann +5
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.1802.03207
openalex publication_date 2018/02/09 · openalex created_date 2022/08/31 · openalex updated_date 2026/07/28
In quantum state tomography, the estimated frequencies do not correspond\ndirectly to a physical quantum state, due to statistical fluctuations. Thus,\none resorts to point estimators that return the state that matches observations\nthe best, and a variety of estimators have been proposed -- linear inversion,\nleast squares, maximum likelihood (ML) -- each making different trade-offs. In\nthis short note, we investigate an alternative approach inspired by\ndevice-independent quantum information protocols. We embed a tomographic\ncomplete set of measurement operators within the framework of a Bell scenario,\nand first regularize the estimated frequencies using a device-independent\nmaximum likelihood algorithm. We then run the standard maximum likelihood\nalgorithm to estimate the underlying quantum state. In this preliminary\ninvestigation, we do not observe significant differences in the reconstructed\nstate when using the new algorithm.\n