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New Bell sampling technique generalized for qudits

By PulseAugur Editorial · [1 sources] ·

Researchers have developed a generalized Bell sampling technique for qudits, which are quantum systems with d levels. This new method overcomes previous limitations and provides meaningful information about quantum states. The technique utilizes a novel unitary based on Lagrange's four-square theorem to conjugate stabilizer states. Its utility is demonstrated by extending several qubit-based results to qudits, including efficient learning of stabilizer states, solving the Hidden Stabiliser Group Problem, and establishing bounds for pseudorandom states generated by Clifford circuits. AI

RANK_REASON Academic paper detailing a new method in quantum physics. [lever_c_demoted from research: ic=1 ai=0.1]

Read on arXiv cs.LG →

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New Bell sampling technique generalized for qudits

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Academic paper detailing a new method in quantum physics. [lever_c_demoted from research: ic=1 ai=0.1]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Jonathan Allcock, Joao F. Doriguello, G\'abor Ivanyos, Miklos Santha ·

    Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more

    arXiv:2510.06848v3 Announce Type: replace-cross Abstract: Bell sampling is a simple yet powerful tool based on measuring two copies of a quantum state in the Bell basis, and has found applications in a plethora of problems related to stabiliser states and measures of magic. Howev…

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