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Bounds on k-Uniform Quantum States
IEEE Transactions on Information TheoryDo $N$-partite $k$-uniform states always exist when $k\leq \lfloor\frac{N}{2}\rfloor-1$? In this work, we provide new upper bounds on the parameter $k$ for the existence of $k$-uniform states in $(\mathbb{C}^{d})^{\otimes N}$ when $d=3,4,5$, which extend Rains' bound in 1999 and improve Scott's bound in 2004.
Fei Shi, Yu Ning, Qi Zhao, Xiande Zhang
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Uniform Lower Bounds for Randomly Stopped Banach Space Valued Random Sums [PDF]
, 1990 Michael J. Klass
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Uniform Bounds for Oscillatory and Polynomial Carleson Operators [PDF]
, 2021 João P. G. Ramos
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Uniform bounds for rational points on complete intersections of two quadric surfaces [PDF]
, 2018 Manh Hung Tran
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Sharper bounds for uniformly stable algorithms
, 2020 Olivier Bousquet +2 more
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Uniform Bounds for Scheduling with Job Size Estimates [PDF]
, 2021 Ziv Scully +2 more
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Monotonicity and bounds on Bessel functions
Electronic Journal of Differential Equations, 2000 survey my recent results on monotonicity with respect to order of general Bessel functions, which follow from a new identity and lead to best possible uniform bounds.
Larry Landau
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Bounds on Erd{\H{o}}s - Faber - Lov\'{a}sz Conjecture - the Uniform and Regular Cases [PDF]
, 2018 S. M. Hegde, Suresh Dara
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Sharp Lower Bounds on the Spectral Radius of Uniform Hypergraphs Concerning Degrees
, 2018 Liying Kang, Lele Liu, Erfang Shan
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