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Robust Interior Point Method for Quantum Key Distribution Rate Computation [PDF]
Quantum, 2022 Security proof methods for quantum key distribution, QKD, that are based on the numerical key rate calculation problem, are powerful in principle. However, the practicality of the methods are limited by computational resources and the efficiency and ...
Hao Hu +4 more
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Alternative SDP and SOCP approximations for polynomial optimization
EURO Journal on Computational Optimization, 2019 In theory, hierarchies of semidefinite programming (SDP) relaxations based on sum of squares (SOS) polynomials have been shown to provide arbitrarily close approximations for a general polynomial optimization problem (POP).
Xiaolong Kuang +3 more
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Mokslas: Lietuvos Ateitis, 2015 Semidefinite Programming (SDP) is a fairly recent way of solving optimization problems which are becoming more and more important in our fast moving world. It is a minimization of linear function over the intersection of the cone of positive semidefinite
Rasa Giniūnaitė
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Multipath Exploitation with Time Reversal Waveform Covariance Matrix for SNR Maximization
Remote Sensing, 2020 Radar target detection has a wide range of applications in the military and civilian remote sensing fields; in particular, the target detection in multipath environments has attracted many scholars’ attention in recent years.
Chao Xiong, Chongyi Fan, Xiaotao Huang
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The lq/lp Hankel norms of discrete-time positive systems across switching
SICE Journal of Control, Measurement, and System Integration, 2022 In this study, we focus on the $ l_q/l_p $ Hankel norms of linear time-invariant (LTI) discrete-time positive systems across a single switching. The $ l_q/l_p $ Hankel norms are defined as the induced norms from vector-valued $ l_p $ past inputs to ...
Y. Ebihara
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Orthonormal polynomial projection quantization: an algebraic eigenenergy bounding method
Acta Polytechnica, 2022 The ability to generate tight eigenenergy bounds for low dimension bosonic or ferminonic, hermitian or non-hermitian, Schrödinger operator problems is an important objective in the computation of quantum systems.
Carlos R. Handy
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Discrete-Time Indefinite Stochastic LQ Control via SDP and LMI Methods
Journal of Applied Mathematics, 2012 This paper studies a discrete-time stochastic LQ problem over an infinite time horizon with state-and control-dependent noises, whereas the weighting matrices in the cost function are allowed to be indefinite.
Shaowei Zhou, Weihai Zhang
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IET Control Theory & Applications, 2021 This paper presents the computation of the non‐parametric uncertainty model for multi input multi output (MIMO) systems, which is described by normalized coprime factors (NCF) using the frequency response data of the system.
Seyed Masoud Tabibian +2 more
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Bootstrap, Markov Chain Monte Carlo, and LP/SDP hierarchy for the lattice Ising model
Journal of High Energy Physics, 2023 Bootstrap is an idea that imposing consistency conditions on a physical system may lead to rigorous and nontrivial statements about its physical observables. In this work, we discuss the bootstrap problem for the invariant measure of the stochastic Ising
Minjae Cho, Xin Sun
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Tightness of the maximum likelihood semidefinite relaxation for angular synchronization [PDF]
, 2014 Maximum likelihood estimation problems are, in general, intractable optimization problems. As a result, it is common to approximate the maximum likelihood estimator (MLE) using convex relaxations.
Bandeira, Afonso S. +2 more
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