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We study an inverse design problem for the linear multiple fragmentation equation arising in particle dynamics. Our objective is to reconstruct an unknown initial size distribution that evolves, under a prescribed fragmentation law, into a…

Optimization and Control · Mathematics 2026-02-20 Arijit Das

In this paper, we propose a stochastic optimization method that adaptively controls the sample size used in the computation of gradient approximations. Unlike other variance reduction techniques that either require additional storage or the…

Optimization and Control · Mathematics 2017-11-01 Raghu Bollapragada , Richard Byrd , Jorge Nocedal

The photon echo quantum memory is based on a controlled rephasing of the atomic coherence excited by signal light field in the inhomogeneously broadened resonant line. Here, we propose a novel active mechanism of the atomic rephasing which…

Quantum Physics · Physics 2025-02-06 Sergey A. Moiseev

Data augmentation policies drastically improve the performance of image recognition tasks, especially when the policies are optimized for the target data and tasks. In this paper, we propose to optimize image recognition models and data…

Computer Vision and Pattern Recognition · Computer Science 2020-06-16 Ryuichiro Hataya , Jan Zdenek , Kazuki Yoshizoe , Hideki Nakayama

Three-level atomic gradient echo memory (lambda-GEM) is a proposed candidate for efficient quantum storage and for linear optical quantum computation with time-bin multiplexing. In this paper we investigate the spatial multimode properties…

Diffusion models are a powerful class of generative models capable of producing high-quality images from pure noise using a simple text prompt. While most methods which introduce additional spatial constraints into the generated images…

Computer Vision and Pattern Recognition · Computer Science 2024-09-18 Zakaria Patel , Kirill Serkh

A central goal within quantum optics is to realize efficient interactions between photons and atoms. A fundamental limit in nearly all applications based on such systems arises from spontaneous emission, in which photons are absorbed by…

Quantum Physics · Physics 2017-08-30 A. Asenjo-Garcia , M. Moreno-Cardoner , A. Albrecht , H. J. Kimble , D. E. Chang

It is demonstrated that the properties of light stored in a four-level atomic system can be modified by an additional control interaction present during the storage stage. By choosing the pulse area of this interaction one can in particular…

Quantum Physics · Physics 2009-11-07 A. Raczynski , J. Zaremba , S. Zielinska-Kaniasty

We present a light-storage experiment in a praseodymium-doped crystal where the light is mapped onto an inhomogeneously broadened optical transition shaped into an atomic frequency comb. After absorption of the light the optical excitation…

Stochastic gradient methods have been a popular and powerful choice of optimization methods, aimed at minimizing functions. Their advantage lies in the fact that that one approximates the gradient as opposed to using the full Jacobian…

Numerical Analysis · Mathematics 2025-09-26 Neil K. Chada , Philip J. Herbert

Attenuated laser pulses are often employed in place for single photons in order to test the efficiency of the elements of a quantum network. In this work we analyse theoretically the dynamics of storage of an attenuated light pulse (where…

Quantum Physics · Physics 2019-11-11 Luigi Giannelli , Tom Schmit , Giovanna Morigi

Inpainting-based image compression is a promising alternative to classical transform-based lossy codecs. Typically it stores a carefully selected subset of all pixel locations and their colour values. In the decoding phase the missing…

Image and Video Processing · Electrical Eng. & Systems 2023-05-16 Ferdinand Jost , Vassillen Chizhov , Joachim Weickert

Reversible and coherent storage of light in atomic medium is a key-stone of future quantum information applications. In this work, arbitrary two-dimensional images are slowed and stored in warm atomic vapor for up to 30 $\mu$s, utilizing…

Quantum Physics · Physics 2008-06-17 M. Shuker , O. Firstenberg , R. Pugatch , A. Ron , N. Davidson

This article (I) considers the known optimal control model of a quantum information transfer along a spin chain with controlled external parabolic magnetic field, with an arbitrary length. The article adds certain lower and upper pointwise…

Quantum Physics · Physics 2025-12-12 Oleg V. Morzhin

All light has structure, but only recently it has become possible to construct highly controllable and precise potentials so that most laboratories can harness light for their specific applications. In this chapter, we review the emerging…

A fundamental issue that limits the efficiency of many photoelectrochemical systems is that the photon absorption length is typically much longer than the electron diffusion length. Various photon management schemes have been developed to…

This work shows the existence of optimal control laws for persistent monitoring of mobile targets in a one-dimensional mission space and derives explicit solutions. The underlying performance metric consists of minimizing the total…

Optimization and Control · Mathematics 2022-10-05 Jonas Hall , Sean B. Andersson , Christos G. Cassandras

Gradient Descent (GD) is a ubiquitous algorithm for finding the optimal solution to an optimization problem. For reduced computational complexity, the optimal solution $\mathrm{x^*}$ of the optimization problem must be attained in a minimum…

Optimization and Control · Mathematics 2023-06-01 Revati Gunjal , Sushama Wagh , Syed Shadab Nayyer , Alex Stankovic , Navdeep M. Singh

We study the inverse problem of radiative transfer equation (RTE) using stochastic gradient descent method (SGD) in this paper. Mathematically, optical tomography amounts to recovering the optical parameters in RTE using the…

Optimization and Control · Mathematics 2018-07-04 Ke Chen , Qin Li , Jian-Guo Liu

Quantum optimal control problems are typically solved by gradient-based algorithms such as GRAPE, which suffer from exponential growth in storage with increasing number of qubits and linear growth in memory requirements with increasing…