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Motivated by the X-ray crystallography technology to determine the atomic structure of biological molecules, we study the crystallographic phase retrieval problem, arguably the leading and hardest phase retrieval setup. This problem entails…

Information Theory · Computer Science 2020-07-06 Tamir Bendory , Dan Edidin

The phase retrieval problem has a long history and is an important problem in many areas of optics. Theoretical understanding of phase retrieval is still limited and fundamental questions such as uniqueness and stability of the recovered…

Information Theory · Computer Science 2013-10-10 Henrik Ohlsson , Yonina C. Eldar

Herein, we propose an experimentally feasible scheme to show the quantum phase transition of the Jaynes-Cummings (JC) model by modulating the transition frequency of a two-level system in a quantum Rabi model with strong coupling. By tuning…

Quantum Physics · Physics 2023-11-27 Cheng Liu , Jin-Feng Huang

For short-packet, low-latency communications over random access channels, piloting overhead significantly reduces spectral efficiency. Therefore, pilotless systems recently gained attraction. While blind phase estimation algorithms such as…

Information Theory · Computer Science 2023-05-04 Marvin Geiselhart , Marc Gauger , Felix Krieg , Jannis Clausius , Stephan ten Brink

Precise optical phase control is crucial for innovations in telecommunications, optical computing, quantum information processing, and advanced sensing. However, conventional phase modulators often introduce parasitic amplitude modulation…

Optics · Physics 2025-05-23 Alex Krasnok

We investigate the quantization of Kramers-Kronig detection technique initially developped for classical optical communications. It consists in mixing the unknown field with a strong monochromatic local oscillator on an unbalanced…

Quantum Physics · Physics 2025-02-27 Thomas Pousset , Maxime Federico , Romain Alléaume , Nicolas Fabre

In this paper, we define the phase response for a class of multi-input multi-output (MIMO) linear time-invariant (LTI) systems whose frequency responses are (semi-)sectorial at all frequencies. The newly defined phase concept subsumes the…

Systems and Control · Electrical Eng. & Systems 2022-10-24 Wei Chen , Dan Wang , Sei Zhen Khong , Li Qiu

In recent years, phase retrieval has received much attention in statistics, applied mathematics and optical engineering. In this paper, we propose an efficient algorithm, termed Subspace Phase Retrieval (SPR), which can accurately recover…

Information Theory · Computer Science 2024-04-09 Mengchu Xu , Dekuan Dong , Jian Wang

In MIMO systems, the presence of phase noise is a significant factor that can degrade performance. For MIMO testbeds build from SDR devices, phase noise cannot be ignored, particular in applications that require phase synchronization. This…

Signal Processing · Electrical Eng. & Systems 2025-07-17 Carl Collmann , Bitan Banerjee , Ahmad Nimr , Gerhard Fettweis

We address the problem of signal reconstruction from intensity measurements with respect to a measurement frame. This non-convex inverse problem is known as phase retrieval. The case considered in this paper concerns phaseless measurements…

Functional Analysis · Mathematics 2019-02-13 Goetz E. Pfander , Palina Salanevich

The increasing penetration of converter-interfaced generators (CIGs) intensifies concerns over small-signal voltage and synchronization stability. While existing theories treat these two stability issues distinctly, practical wisdom in…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Fuyilong Ma , Lidong Zhang , Wangqianyun Tang , Waisheng Zheng , Huanhai Xin , Linbin Huang , Lennart Harnefors

A linear and thus convex phase retrieval algorithm for the application in phaseless near-field far-field transformations is presented. The formulation exploits locally known phase relations among sets of measurement samples, which can in…

Signal Processing · Electrical Eng. & Systems 2022-06-24 Alexander Paulus , Jonas Kornprobst , Josef Knapp , Thomas F. Eibert

We show that a noninvasive,``negative-result measurement'' can be realized in quantum dot systems. The measurement process is studied by applying the Schr\"odinger equation to the whole system (including the detector). We demonstrate that…

Quantum Physics · Physics 2008-02-03 S. A. Gurvitz

We show that for quantum phase transitions with a single bosonic zero mode at the critical point, like the Dicke model and the Lipkin-Meshkov-Glick model, metric quantities such as fidelity, that is, the overlap between two ground states…

Quantum Physics · Physics 2012-08-30 Wen-ge Wang , Pinquan Qin , Qian Wang , Giuliano Benenti , Giulio Casati

In this work, we explore a new approach to synchronization of coupled oscillators. In contrast to the celebrated Kuramoto model we do not work in polar coordinates and do not consider oscillations of fixed magnitude. We propose a…

Optimization and Control · Mathematics 2018-11-29 Marcello Colombino , Dominic Groß , Jean-Sébastien Brouillon , Florian Dörfler

We study a system consisting of a superconducting flux qubit strongly coupled to a microwave cavity. The fundamental cavity mode is externally driven and the response is investigated in the weak nonlinear regime. We find that near the…

Quantum Physics · Physics 2016-09-14 Eyal Buks , Chunqing Deng , Jean-Luc F. X. Orgazzi , Martin Otto , Adrian Lupascu

We use the effective potential method of quantum field theory to obtain the quantum corrections to the zero temperature phase diagram of systems with competing order parameters. We are particularly interested in two different scenarios:…

Strongly Correlated Electrons · Physics 2018-04-27 N. L. Silva Júnior , Mucio A. Continentino , Daniel G. Barci

We provide a comprehensive view of various phase transitions in random $K$-satisfiability problems solved by stochastic-local-search algorithms. In particular, we focus on the finite-size scaling (FSS) exponent, which is mathematically…

Statistical Mechanics · Physics 2015-03-17 Sang Hoon Lee , Meesoon Ha , Chanil Jeon , Hawoong Jeong

In this work we shall review the (phased) inverse scattering problem and then pursue the phaseless reconstruction from far-field data with the help of the concept of scattering coefficients. We perform sensitivity, resolution and stability…

Numerical Analysis · Mathematics 2015-10-15 Habib Ammari , Yat Tin Chow , Jun Zou

We report a single-photon Mach-Zehnder interferometer stabilized to a phase precision of 0.05 degrees over 15 hours. To lock the phase, we employ an auxiliary reference light at a different wavelength than the quantum signal. The developed…

Quantum Physics · Physics 2023-04-12 Vojtěch Švarc , Martina Nováková , Michal Dudka , Miroslav Ježek