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In this paper, we are concerned with a shape design problem, in which our target is to design, up to rigid transformations and scaling, the shape of an object given either its polarization tensor at multiple contrasts or the partial…

Optimization and Control · Mathematics 2013-10-24 Habib Ammari , Yat Tin Chow , Keji Liu , Jun Zou

Wideband communication receivers often deal with the problems of detecting weak signals from distant sources received together with strong nearby interferers. When the techniques of random modulation are used in communication system…

Information Theory · Computer Science 2018-11-15 Dian Mo , Marco F. Duarte

The self-consistent quantum-electrostatic (also known as Poisson-Schr\"odinger) problem is notoriously difficult in situations where the density of states varies rapidly with energy. At low temperatures, these fluctuations make the problem…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 P. Armagnat , A. Lacerda-Santos , B. Rossignol , C. Groth , X. Waintal

A method is presented to solve a stochastic, nonlinear optimal control problem representative of spacecraft trajectory design under uncertainty. The problem is reformulated as a chance constrained nonlinear program, or what is known as a…

Optimization and Control · Mathematics 2024-01-05 William Fife , Pradipto Ghosh , Kyle DeMars

Supersymmetric quantum mechanics is well known to provide, together with the so-called shape invariance condition, an elegant method to solve the eigenvalue problem of some one-dimensional potentials by simple algebraic manipulations. In…

Condensed Matter · Physics 2009-10-28 Bertrand Berche , Ferenc Iglói

This paper considers a distributed wave-based sensing system that probes a scene consisting of multiple interacting idealized targets. Each sensor is a collocated transmit-receive pair that is capable of transmitting arbitrary wideband…

Optics · Physics 2015-10-27 Jerry Kim , Margaret Cheney , Eric Mokole

Recent advancements in quantum information and quantum technology has stimulated a good deal of interest in the development of quantum algorithms for energetics and properties of many-fermionic systems. While the variational quantum…

Quantum Physics · Physics 2023-02-08 Dibyendu Mondal , Sonaldeep Halder , Dipanjali Halder , Rahul Maitra

We develop a field-theoretic framework, called radiant field theory, to calculate the distribution of transmission eigenvalues for coherent wave propagation in disordered media. At its core is a self-consistent transport equation for a…

Mathematical Physics · Physics 2025-07-21 David Gaspard , Arthur Goetschy

We study the problem of discriminating between non-orthogonal quantum states with least probability of error. We demonstrate that this problem can be simplified if we solve for the error itself rather than solving directly for the optimal…

Quantum Physics · Physics 2009-11-10 Kieran Hunter

Starting from a general $N$-band Hamiltonian with weak spatial and temporal variations, we derive a low energy effective theory for transport within one or several overlapping bands. To this end, we use the Wigner representation that allows…

Mesoscale and Nanoscale Physics · Physics 2013-08-09 Christian Wickles , Wolfgang Belzig

The simulation of charge transport in ultra-scaled electronic devices requires the knowledge of the atomic configuration and the associated potential. Such "atomistic" device simulation is most commonly handled using a tight-binding…

Mesoscale and Nanoscale Physics · Physics 2019-10-02 Maarten L. Van de Put , Massimo V. Fischetti , William G. Vandenberghe

We study a nonlinear multimarginal optimal transport problem arising in risk management, where the objective is to maximize a spectral risk measure of the pushforward of a coupling by a cost function. Although this problem is inherently…

Optimization and Control · Mathematics 2026-03-27 Adrien Cances , Quentin Mérigot , Luca Nenna

Optimized Pulse Patterns (OPPs) are gaining increasing popularity in the power electronics community over the well-studied pulse width modulation due to their inherent ability to provide the switching instances that optimize current…

Optimization and Control · Mathematics 2020-10-29 Lukas Wachter , Orcun Karaca , Georgios Darivianakis , Themistoklis Charalambous

Optimizing routing in Wireless Sensor Networks (WSNs) is pivotal for minimizing energy consumption and extending network lifetime. This paper introduces a resourceefficient compilation method for distributed quantum circuits tailored to…

Quantum Physics · Physics 2025-01-20 Kuan-Cheng Chen , Felix Burt , Shang Yu , Chen-Yu Liu , Min-Hsiu Hsieh , Kin K. Leung

A gradient-based optimization approach combined with automatic differentiation is employed to ensure high accuracy and scalability when working with high-dimensional parameter spaces. Numerical simulations confirm the effectiveness of the…

Quantum Physics · Physics 2025-07-15 Roman Sahakyan , Romik Sargsyan , Edgar Pogosyan , Karen Arzumanyan , Emil A. Gazazyan

In this paper, we consider finite model approximations of a large class of static and dynamic team problems where these models are constructed through uniform quantization of the observation and action spaces of the agents. The strategies…

Optimization and Control · Mathematics 2016-01-05 Naci Saldi , Serdar Yüksel , Tamás Linder

In a wireless system with a large number of distributed nodes, the quality of communication can be greatly improved by pooling the nodes to perform joint transmission/reception. In this paper, we consider the problem of optimally selecting…

Information Theory · Computer Science 2013-10-08 Mingyi Hong , Zi Xu , Meisam Razaviyayn , Zhi-Quan Luo

A model of quantum noisy channel with input encoding by a classical random vector is described. An equation of optimality is derived to determine a complete set of wave functions describing quantum decodings based on quasi-measurements…

Quantum Physics · Physics 2007-05-23 V. P. Belavkin , R. L. Stratonovich

This research studies a non-convex geometric optimization problem arising from the field of optical wireless power transfer. In the considered optimization problem, the cost function is a sum of negatively and fractionally powered distances…

Optimization and Control · Mathematics 2024-04-23 Dinh Hoa Nguyen , Kaname Matsue

It is known that data rates in standard cellular networks are limited due to inter-cell interference. An effective solution of this problem is to use the multi-cell cooperation idea. In Cloud Radio Access Network, which is a candidate…

Information Theory · Computer Science 2021-02-16 Fehmi Emre Kadan , Ali Özgür Yılmaz