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Randomisation is widely used in quantum algorithms to reduce the number of quantum gates and ancillary qubits required. A range of randomised algorithms, including eigenstate property estimation by spectral filters, Hamiltonian simulation,…

Quantum Physics · Physics 2025-06-19 Jinzhao Sun , Pei Zeng

Phase-only spatial light modulators can be employed to structure laser light in complex three dimensional focusing patterns, with a variety of applications. While spatial light modulators have typical refresh frequencies of tens of Hz, the…

Image and Video Processing · Electrical Eng. & Systems 2020-03-12 Paolo Pozzi , Jonathan Mapelli

While characterization of coherent wavefields is essential to laser, x-ray and electron imaging, sensors measure the squared magnitude of the field, rather than the field itself. Holography or phase retrieval must be used to characterize…

Image and Video Processing · Electrical Eng. & Systems 2020-12-10 David J. Brady , Timothy J. Schulz , Chengyu Wang

The rise of mixed reality systems such as Microsoft HoloLens has prompted an increase in interest in the fields of 2D and 3D holography. Already applied in fields including telecommunications, imaging, projection, lithography, beam shaping…

Image and Video Processing · Electrical Eng. & Systems 2021-09-28 Peter J. Christopher , Andrew Kadis , George S. D. Gordon , Timothy D. Wilkinson

Real-time deformability cytometry (RT-DC) is an established method that quantifies features like size, shape, and stiffness for whole cell populations on a single-cell level in real time. To extract the cell stiffness, a lookup table (LUT)…

Quantitative Methods · Quantitative Biology 2022-08-29 Lucas Daniel Wittwer , Felix Reichel , Paul Müller , Jochen Guck , Sebastian Aland

Recent years have witnessed the increasing popularity of learning based methods to enhance the color and tone of photos. However, many existing photo enhancement methods either deliver unsatisfactory results or consume too much…

Image and Video Processing · Electrical Eng. & Systems 2020-10-01 Hui Zeng , Jianrui Cai , Lida Li , Zisheng Cao , Lei Zhang

Characterizing the noise in the set of gate operations that form the building blocks of a quantum computational device is a necessity for assessing the quality of the device. Here, we introduce randomized linear gate set tomography, an…

Quantum Physics · Physics 2021-08-25 Yanwu Gu , Rajesh Mishra , Berthold-Georg Englert , Hui Khoon Ng

Low-latency gravitational wave search pipelines such as GstLAL take advantage of low-rank factorization of the template matrix via singular value decomposition (SVD). With unprecedented improvements in detector bandwidth and sensitivity in…

General Relativity and Quantum Cosmology · Physics 2021-08-03 Amit Reza , Anirban Dasgupta , Anand S. Sengupta

Digital holography is one of the most widely used label-free microscopy techniques in biomedical imaging. Recovery of the missing phase information of a hologram is an important step in holographic image reconstruction. Here we demonstrate…

Image and Video Processing · Electrical Eng. & Systems 2021-05-28 Luzhe Huang , Tairan Liu , Xilin Yang , Yi Luo , Yair Rivenson , Aydogan Ozcan

The graph partitioning problem has many applications in scientific computing such as computer aided design, data mining, image compression and other applications with sparse-matrix vector multiplications as a kernel operation. In many cases…

Data Structures and Algorithms · Computer Science 2016-01-08 Foad Lotfifar , Matthew Johnson

Several strategies in phase retrieval are unified by an iterative "difference map" constructed from a pair of elementary projections and a single real parameter $\beta$. For the standard application in optics, where the two projections…

Numerical Analysis · Mathematics 2025-10-20 Veit Elser

As a generalization of the standard phase retrieval problem, we seek to reconstruct symmetric rank-1 matrices from inner products with subclasses of positive semidefinite matrices. For such subclasses, we introduce random cubatures for…

Numerical Analysis · Mathematics 2017-09-04 Martin Ehler , Manuel Graef , Franz J. Kiraly

Large-scale numerical computations make increasing use of low-precision (LP) floating point formats and mixed precision arithmetic, which can be enhanced by the technique of stochastic rounding (SR), that is, rounding an intermediate…

Numerical Analysis · Mathematics 2025-04-30 Andrew Fitzgibbon , Stephen Felix

Randomized algorithms for very large matrix problems have received a great deal of attention in recent years. Much of this work was motivated by problems in large-scale data analysis, and this work was performed by individuals from many…

Data Structures and Algorithms · Computer Science 2011-11-16 Michael W. Mahoney

We propose a new learning-based approach for 3D particle field imaging using holography. Our approach uses a U-net architecture incorporating residual connections, Swish activation, hologram preprocessing, and transfer learning to cope with…

Image and Video Processing · Electrical Eng. & Systems 2020-02-19 Siyao Shao , Kevin Mallery , Santosh Kumar , Jiarong Hong

High-throughput computational imaging requires efficient processing algorithms to retrieve multi-dimensional and multi-scale information. In computational phase imaging, phase retrieval (PR) is required to reconstruct both amplitude and…

Image and Video Processing · Electrical Eng. & Systems 2021-09-15 Xuyang Chang , Liheng Bian , Jun Zhang

Polarisation holography generally demands polarisation-sensitive holograms for reconstructing either polarisation-multiplexed holographic images or polarisation-sensitive image channels. To date, polarisation holography is underpinned by…

Optics · Physics 2022-07-22 Haoran Ren

Quantum access to arbitrary classical data encoded in unitary black-box oracles underlies interesting data-intensive quantum algorithms, such as machine learning or electronic structure simulation. The feasibility of these applications…

Quantum Physics · Physics 2025-12-23 Shuchen Zhu , Aarthi Sundaram , Guang Hao Low

Assembling large-scale, defect-free Rydberg atom arrays is a key technology for neutral-atom quantum computation. Dynamic holographic optical tweezers enable the assembly and reconfiguration of such arrays, but phase mismatches between…

Quantum Physics · Physics 2026-04-07 Erdong Huang , Jiayi Huang , Hongshun Yao , Xin Wang , Jin-Guo Liu

In recent years, the mathematical and algorithmic aspects of the phase retrieval problem have received considerable attention. Many papers in this area mention crystallography as a principal application. In crystallography, the signal to be…

Information Theory · Computer Science 2018-06-15 Veit Elser , Ti-Yen Lan , Tamir Bendory