ASYMPTOTIC EVALUATION OF BOSONIC PROBABILITY AMPLITUDES IN LINEAR UNITARY NETWORKS IN THE CASE OF LARGE NUMBER OF BOSONS

DOI10.1142/S0219749913500457zbMath1290.81021arXiv1304.6675OpenAlexW2963418227MaRDI QIDQ5413313

Valery S. Shchesnovich

Publication date: 29 April 2014

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.6675

zbMATH Keywords

quantum mechanicsquantum complexityHong-Ou-Mandel effectmatrix permanentsbosonic probability amplitudesoptical multiportsunitary linear networks

Mathematics Subject Classification ID

Quantum optics (81V80) Analytic circuit theory (94C05) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum algorithms and complexity in the theory of computing (68Q12)

Related Items (7)

Majorization and the time complexity of linear optical networks ⋮ Complex scattering as canonical transformation: A semiclassical approach in Fock space ⋮ Scaling a Unitary Matrix ⋮ On the permanents of circulant and degenerate Schur matrices ⋮ Sinkhorn normal form for unitary matrices ⋮ On the classical complexity of sampling from quantum interference of indistinguishable bosons ⋮ The soliton perturbation theory based on the Riemann-Hilbert spectral problem.

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