Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry
We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction w...
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2017
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v96_n6_p_PearsStefano http://hdl.handle.net/20.500.12110/paper_24699926_v96_n6_p_PearsStefano |
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paper:paper_24699926_v96_n6_p_PearsStefano2023-06-08T16:36:06Z Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry Quantum optics Quantum theory 4-D measurements Arbitrary dimension Phase shift interferometry Phase-stepping interferometry Proof of principles Quantum state tomography Reconstruction method Transverse momenta Interferometry We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction with respect to the standard schemes for quantum-state tomography which require on the order of d2. By using this technique, we have experimentally reconstructed a large number of states ranging from d=2 up to 14 with mean fidelity values higher than 0.97. For that purpose the qudits were codified in the discretized transverse-momentum position of single photons, once they are sent through an aperture with d slits. We provide an experimental implementation of the method based in a Mach-Zehnder interferometer, which allows one to reduce the number of measurement settings to four since the d slits can be measured simultaneously. Furthermore, it can be adapted to consider the reconstruction of the unknown state from the outcome frequencies of 4d-3 fixed projectors independently of the encoding or the nature of the quantum system, allowing one to implement the reconstruction method in a general experiment. © 2017 American Physical Society. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v96_n6_p_PearsStefano http://hdl.handle.net/20.500.12110/paper_24699926_v96_n6_p_PearsStefano |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Quantum optics Quantum theory 4-D measurements Arbitrary dimension Phase shift interferometry Phase-stepping interferometry Proof of principles Quantum state tomography Reconstruction method Transverse momenta Interferometry |
| spellingShingle |
Quantum optics Quantum theory 4-D measurements Arbitrary dimension Phase shift interferometry Phase-stepping interferometry Proof of principles Quantum state tomography Reconstruction method Transverse momenta Interferometry Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| topic_facet |
Quantum optics Quantum theory 4-D measurements Arbitrary dimension Phase shift interferometry Phase-stepping interferometry Proof of principles Quantum state tomography Reconstruction method Transverse momenta Interferometry |
| description |
We present a proof-of-principle demonstration of a method to characterize any pure spatial qudit of arbitrary dimension d, which is based on the classic phase-shift interferometry technique. In the proposed scheme a total of only 4d measurement outcomes are needed, implying a significant reduction with respect to the standard schemes for quantum-state tomography which require on the order of d2. By using this technique, we have experimentally reconstructed a large number of states ranging from d=2 up to 14 with mean fidelity values higher than 0.97. For that purpose the qudits were codified in the discretized transverse-momentum position of single photons, once they are sent through an aperture with d slits. We provide an experimental implementation of the method based in a Mach-Zehnder interferometer, which allows one to reduce the number of measurement settings to four since the d slits can be measured simultaneously. Furthermore, it can be adapted to consider the reconstruction of the unknown state from the outcome frequencies of 4d-3 fixed projectors independently of the encoding or the nature of the quantum system, allowing one to implement the reconstruction method in a general experiment. © 2017 American Physical Society. |
| title |
Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| title_short |
Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| title_full |
Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| title_fullStr |
Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| title_full_unstemmed |
Determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| title_sort |
determination of any pure spatial qudits from a minimum number of measurements by phase-stepping interferometry |
| publishDate |
2017 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699926_v96_n6_p_PearsStefano http://hdl.handle.net/20.500.12110/paper_24699926_v96_n6_p_PearsStefano |
| _version_ |
1768546560003538944 |