Tasks and premises in quantum state determination

DOI10.1088/1751-8113/47/7/075302zbMath1288.81007arXiv1308.5502OpenAlexW2092850756WikidataQ62561380 ScholiaQ62561380MaRDI QIDQ5404789

Jussi Schultz, Alessandro Toigo, Claudio Carmeli, Teiko Heinosaari

Publication date: 28 March 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.5502

zbMATH Keywords

quantum mechanicsmeasurementquantum informationquantum statequantum tomographyHeisenberg uncertainty principleno-cloning theorem

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)

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Optimal quantum observables ⋮ Constrained quantum tomography of semi-algebraic sets with applications to low-rank matrix recovery ⋮ Measurement uncertainty relations for discrete observables: relative entropy formulation ⋮ Probing quantum state space: does one have to learn everything to learn something? ⋮ Process tomography for unitary quantum channels ⋮ On superactivation of one-shot quantum zero-error capacity and the related property of quantum measurements ⋮ Explicit frames for deterministic phase retrieval via PhaseLift ⋮ Nonuniqueness of phase retrieval for three fractional Fourier transforms

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