Journal
SCIENTIFIC REPORTS
Volume 9, Issue -, Pages -Publisher
NATURE RESEARCH
DOI: 10.1038/s41598-019-52415-y
Keywords
-
Categories
Funding
- FAPEMIG [APQ-00240-15]
- CNPq [140359/2017-6, 407624/2018-0]
- CNPq INCT-IQ [465469/2014-0]
Ask authors/readers for more resources
Ptychography is an imaging technique in which a localized illumination scans overlapping regions of an object and generates a set of diffraction intensities used to computationally reconstruct its complex-valued transmission function. We propose a quantum analogue of this technique designed to reconstruct d-dimensional pure states. A set of n rank-r projectors scans overlapping parts of an input state and the moduli of the d Fourier amplitudes of each part are measured. These nd outcomes are fed into an iterative phase retrieval algorithm that estimates the state. Using d up to 100 and r around d/2, we performed numerical simulations for single systems in an economic (n = 4) and a costly (n = d) scenario, as well as for multiqubit systems (n = 6logd). This numeric study included realistic amounts of depolarization and poissonian noise, and all scenarios yielded, in general, reconstructions with infidelities below 10(-2). The method is shown, therefore, to be resilient to noise and, for any d, requires a simple and fast postprocessing algorithm. We show that the algorithm is equivalent to an alternating gradient search, which ensures that it does not suffer from local-minima stagnation. Unlike traditional approaches to state reconstruction, the ptychographic scheme uses a single measurement basis; the diversity and redundancy in the measured data-key for its success-are provided by the overlapping projections. We illustrate the simplicity of this scheme with the paradigmatic multiport interferometer.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available