Ptychography of pure quantum states
| dc.creator | Mário Foganholi Fernandes | |
| dc.creator | Leonardo Teixeira Neves | |
| dc.date.accessioned | 2025-02-17T13:09:22Z | |
| dc.date.accessioned | 2025-09-09T01:22:28Z | |
| dc.date.available | 2025-02-17T13:09:22Z | |
| dc.date.issued | 2019 | |
| dc.description.sponsorship | CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico | |
| dc.description.sponsorship | FAPEMIG - Fundação de Amparo à Pesquisa do Estado de Minas Gerais | |
| dc.format.mimetype | ||
| dc.identifier.doi | https://doi.org/10.1038/s41598-019-52415-y | |
| dc.identifier.issn | 2045-2322 | |
| dc.identifier.uri | https://hdl.handle.net/1843/80115 | |
| dc.language | eng | |
| dc.publisher | Universidade Federal de Minas Gerais | |
| dc.relation.ispartof | Scientific Reports | |
| dc.rights | Acesso Aberto | |
| dc.subject | Informação quântica | |
| dc.subject | Mecânica quântica | |
| dc.subject.other | Quantum information | |
| dc.subject.other | Quantum mechanics | |
| dc.subject.other | Quantum physics | |
| dc.title | Ptychography of pure quantum states | |
| dc.type | Artigo de periódico | |
| local.citation.epage | 10 | |
| local.citation.spage | 1 | |
| local.citation.volume | 9 | |
| local.description.resumo | 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. | |
| local.identifier.orcid | https://orcid.org/0000-0002-9589-1939 | |
| local.publisher.country | Brasil | |
| local.publisher.department | ICX - DEPARTAMENTO DE FÍSICA | |
| local.publisher.initials | UFMG | |
| local.url.externa | https://www.nature.com/articles/s41598-019-52415-y#citeas |