{"title":"空间光子量纲估计的平行射影测量。","authors":"Quimey Pears Stefano, Lorena Rebón, Claudio Iemmi","doi":"10.1364/OL.570564","DOIUrl":null,"url":null,"abstract":"<p><p>We present a quantum state tomography method that enables the reconstruction of <i>arbitrary</i><i>d</i>-dimensional quantum states encoded in the discretized transverse momentum of photons, by using <i>only</i><i>d</i>+1 experimental settings. To this end, we identify a family of bases with the property that the outcomes of a projective measurement are <i>spatially multiplexed</i> on the interference pattern of the projected state. Using the proposed scheme, we performed, as a proof-of-principle, an experimental reconstruction of <i>d</i>=6-dimensional states, for which a complete set of mutually unbiased bases does not exist. We obtained fidelity values above 0.97 for both pure and mixed states, reducing the number of experimental settings from 42 to only 7.</p>","PeriodicalId":19540,"journal":{"name":"Optics letters","volume":"50 19","pages":"6073-6076"},"PeriodicalIF":3.3000,"publicationDate":"2025-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parallelized projective measurements for spatial photonic qudits estimation.\",\"authors\":\"Quimey Pears Stefano, Lorena Rebón, Claudio Iemmi\",\"doi\":\"10.1364/OL.570564\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We present a quantum state tomography method that enables the reconstruction of <i>arbitrary</i><i>d</i>-dimensional quantum states encoded in the discretized transverse momentum of photons, by using <i>only</i><i>d</i>+1 experimental settings. To this end, we identify a family of bases with the property that the outcomes of a projective measurement are <i>spatially multiplexed</i> on the interference pattern of the projected state. Using the proposed scheme, we performed, as a proof-of-principle, an experimental reconstruction of <i>d</i>=6-dimensional states, for which a complete set of mutually unbiased bases does not exist. We obtained fidelity values above 0.97 for both pure and mixed states, reducing the number of experimental settings from 42 to only 7.</p>\",\"PeriodicalId\":19540,\"journal\":{\"name\":\"Optics letters\",\"volume\":\"50 19\",\"pages\":\"6073-6076\"},\"PeriodicalIF\":3.3000,\"publicationDate\":\"2025-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Optics letters\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1364/OL.570564\",\"RegionNum\":2,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optics letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1364/OL.570564","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"OPTICS","Score":null,"Total":0}
Parallelized projective measurements for spatial photonic qudits estimation.
We present a quantum state tomography method that enables the reconstruction of arbitraryd-dimensional quantum states encoded in the discretized transverse momentum of photons, by using onlyd+1 experimental settings. To this end, we identify a family of bases with the property that the outcomes of a projective measurement are spatially multiplexed on the interference pattern of the projected state. Using the proposed scheme, we performed, as a proof-of-principle, an experimental reconstruction of d=6-dimensional states, for which a complete set of mutually unbiased bases does not exist. We obtained fidelity values above 0.97 for both pure and mixed states, reducing the number of experimental settings from 42 to only 7.
期刊介绍:
The Optical Society (OSA) publishes high-quality, peer-reviewed articles in its portfolio of journals, which serve the full breadth of the optics and photonics community.
Optics Letters offers rapid dissemination of new results in all areas of optics with short, original, peer-reviewed communications. Optics Letters covers the latest research in optical science, including optical measurements, optical components and devices, atmospheric optics, biomedical optics, Fourier optics, integrated optics, optical processing, optoelectronics, lasers, nonlinear optics, optical storage and holography, optical coherence, polarization, quantum electronics, ultrafast optical phenomena, photonic crystals, and fiber optics. Criteria used in determining acceptability of contributions include newsworthiness to a substantial part of the optics community and the effect of rapid publication on the research of others. This journal, published twice each month, is where readers look for the latest discoveries in optics.