Parallelizable synthesis of arbitrary single-qubit gates with linear optics and time-frequency encoding

dc.contributor.authorHenry, Antoineen
dc.contributor.authorRaghunathan, Ravien
dc.contributor.authorRicard, Guillaumeen
dc.contributor.authorLefaucher, Baptisteen
dc.contributor.authorMiatto, Filippoen
dc.contributor.authorBelabas, Nadiaen
dc.contributor.authorZaquine, Isabelleen
dc.contributor.authorAlleaume, Romainen
dc.date.accessioned2024-02-27T13:27:18Zen
dc.date.available2024-02-27T13:27:18Zen
dc.date.issued2023-06-26en
dc.description.abstractWe propose methods for the exact synthesis of single-qubit unitaries with high success probability and gate fidelity, considering both time-bin and frequency-bin encodings. The proposed schemes are experimentally implementable with a spectral linear-optical quantum computation (S-LOQC) platform, composed of electro-optic phase modulators and phase-only programmable filters (pulse shapers). We assess the performances in terms of fidelity and probability of the two simplest three-component configurations for arbitrary gate generation in both encodings and give an exact analytical solution for the synthesis of an arbitrary single-qubit unitary in the time-bin encoding, using a single-tone rf driving of the electro-optic modulators. We further investigate the parallelization of arbitrary single-qubit gates over multiple qubits with a compact experimental setup, both for spectral and temporal encodings. We systematically evaluate and discuss the impact of the rf bandwidth, which conditions the number of tones driving the modulators, and of the choice of encoding for different targeted gates. We moreover quantify the number of high-fidelity Hadamard gates that can be synthesized in parallel, with minimal and increasing resources in terms of driving rf tones in a realistic system. Our analysis positions spectral S-LOQC as a promising platform to conduct massively parallel single-qubit operations, with potential applications to quantum metrology and quantum tomography.en
dc.description.versionSubmitted versionen
dc.format.extent15 page(s)en
dc.format.mimetypeapplication/pdfen
dc.identifierARTN 062610 (Article number)en
dc.identifier.doihttps://doi.org/10.1103/PhysRevA.107.062610en
dc.identifier.eissn2469-9934en
dc.identifier.issn2469-9926en
dc.identifier.issue6en
dc.identifier.orcidRaghunathan, Ravi [0009-0007-4272-5033]en
dc.identifier.urihttps://hdl.handle.net/10919/118175en
dc.identifier.volume107en
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleParallelizable synthesis of arbitrary single-qubit gates with linear optics and time-frequency encodingen
dc.title.serialPhysical Review Aen
dc.typeArticleen
dc.type.dcmitypeTexten
dc.type.otherArticleen
dc.type.otherJournalen
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/Engineeringen
pubs.organisational-group/Virginia Tech/Engineering/Electrical and Computer Engineeringen

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