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Structure-Based Super-Resolution Recovery of Three-Photon Quantum States\n from Two-Fold Coincidences

2014/11/09 by Dikla Oren, Oren, Dikla, Yoav Shechtman +7
Computer Science · Engineering · Physics and Astronomy · #Advanced Optical Sensing Technologies #Cluster state #Coherence (philosophical gambling strategy) #FOS: Physical sciences #Open quantum system #Optical Coherence Tomography Applications #Photoacoustic and Ultrasonic Imaging #Photon #Physics #Quantum #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum computer #Quantum entanglement #Quantum error correction #Quantum imaging #Quantum information #Quantum information science #Quantum mechanics #Quantum network #Quantum optics #Quantum sensor #Quantum state #Quantum technology #Qubit #Random lasers and scattering media #Statistical physics #quant-ph

paper · pdf · doi:10.48550/arxiv.1411.2238

arxiv created 2014/11/09 · openalex publication_date 2014/11/09 · arxiv updated 2014/11/11 · openalex created_date 2022/10/02 · openalex updated_date 2026/08/05

Abstract

The field of quantum information has been growing fast over the past decade.\nOptical quantum computation, based on the concepts of KLM and cluster states,\nhas witnessed experimental realizations of larger and more complex systems in\nterms of photon number. Quantum optical systems, which offer long coherence\ntimes and easy manipulation of single qubits, allow us to probe quantum\nproperties of the light itself and of the physical systems around it. Recently,\na linear scheme for quantum computing, relying on the bosonic nature of\nparticles, has been proposed and realized experimentally with photons. The\nability to efficiently measure superpositions of quantum states consisting of\nseveral photons is essential to the characterization of such systems. In fact,\nthe entire field of quantum information completely relies on the ability to\nrecover quantum states from measurements. However, the characterization of\nquantum states requires many measurements, and often necessitates complicated\nmeasurements schemes; for example, characterizing qubits requires measurements.\nHere, we utilize structure, inherent to physically interesting quantum states\nof light, in order to reduce the complexity in the recovery of a quantum state.\nIn particular, we devise a method enabling the recovery of three-photon quantum\nstates from only two-fold correlation measurements in a single setting. The\nability to take two-fold coincidences instead of three-fold offers the recovery\nof the quantum states in far less measurements and in a considerably higher\nSNR, because detection of two-photon events is much more likely than that of\nthree-photon ones. The concept suggested here paves the way to further ideas on\nstructure-based super resolution in quantum state tomography, such as\nrecovering a quantum state in an unknown basis in a single setup and recovering\nthe state of several photons without number resolving detectors.\n

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