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The purpose of this paper is to study the mixed linear quadratic Gaussian (LQG) and $H_\infty$ optimal control problem for linear quantum stochastic systems, where the controller itself is also a quantum system, often referred to as…

Quantum Physics · Physics 2016-11-15 Lei Cui , Zhiyuan Dong , Guofeng Zhang , Heung Wing Joseph Lee

Low-bit post-training quantization (PTQ) is a practical route to deploy reasoning-capable LLMs under tight memory and latency budgets, yet it can markedly impair mathematical reasoning (drops up to 69.81% in our harder settings). We address…

Machine Learning · Computer Science 2026-01-21 Zhen Li , Yupeng Su , Songmiao Wang , Runming Yang , Congkai Xie , Aofan Liu , Ming Li , Jiannong Cao , Yuan Xie , Ngai Wong , Hongxia Yang

We present a formulation of feedback in quantum systems in which the best estimates of the dynamical variables are obtained continuously from the measurement record, and fed back to control the system. We apply this method to the problem of…

Quantum Physics · Physics 2009-10-31 A. C. Doherty , K. Jacobs

In networked control systems, often the sensory signals are quantized before being transmitted to the controller. Consequently, performance is affected by the coarseness of this quantization process. Modern communication technologies allow…

Systems and Control · Electrical Eng. & Systems 2021-02-23 Dipankar Maity , Panagiotis Tsiotras

Neural audio signal codecs have attracted significant attention in recent years. In essence, the impressive low bitrate achieved by such encoders is enabled by learning an abstract representation that captures the properties of encoded…

Audio and Speech Processing · Electrical Eng. & Systems 2025-03-06 Mhd Modar Halimeh , Matteo Torcoli , Philipp Grundhuber , Emanuël A. P. Habets

Neural audio coding has emerged as a vivid research direction by promising good audio quality at very low bitrates unachievable by classical coding techniques. Here, end-to-end trainable autoencoder-like models represent the state of the…

Audio and Speech Processing · Electrical Eng. & Systems 2024-09-20 Andreas Brendel , Nicola Pia , Kishan Gupta , Lyonel Behringer , Guillaume Fuchs , Markus Multrus

In this work we consider discrete-time multiple-input multiple-output (MIMO) linear-quadratic-Gaussian (LQG) control where the feedback consists of variable length binary codewords. To simplify the decoder architecture, we enforce a strict…

Information Theory · Computer Science 2022-07-27 Travis C. Cuvelier , Takashi Tanaka , Robert W. Heath

This paper studies the linear quadratic regulation (LQR) problem of unknown discrete-time systems via dynamic output feedback learning control. In contrast to the state feedback, the optimality of the dynamic output feedback control for…

Systems and Control · Electrical Eng. & Systems 2025-05-29 Kedi Xie , Martin Guay , Shimin Wang , Fang Deng , Maobin Lu

Neural codecs, comprising an encoder, quantizer, and decoder, enable signal transmission at exceptionally low bitrates. Training these systems requires techniques like the straight-through estimator, soft-to-hard annealing, or statistical…

Audio and Speech Processing · Electrical Eng. & Systems 2025-02-10 Wolfgang Mack , Ahmed Mustafa , Rafał Łaganowski , Samer Hijazy

Applications of massive machine-type communications, such as sensor networks, smart metering, 'internet-of-things', or process and factory automation, are forecast to have great economic impact in the next five to ten years. Low-complexity…

Information Theory · Computer Science 2019-02-28 Joachim Neu

Based on a recently developed notion of physical realizability for quantum linear stochastic systems, we formulate a quantum LQG optimal control problem for quantum linear stochastic systems where the controller itself may also be a quantum…

Quantum Physics · Physics 2009-08-07 H. I. Nurdin , M. R. James , I. R. Petersen

In this work, we revisit the Linear Quadratic Gaussian (LQG) optimal control problem from a behavioral perspective. Motivated by the suitability of behavioral models for data-driven control, we begin with a reformulation of the LQG problem…

Systems and Control · Electrical Eng. & Systems 2022-09-20 Abed AlRahman Al Makdah , Vishaal Krishnan , Vaibhav Katewa , Fabio Pasqualetti

A discrete time stochastic feedback control system with a noisy communication channel between the sensor and the controller is considered. The sensor has limited memory. At each time, the sensor transmits encoded symbol over the channel and…

Optimization and Control · Mathematics 2007-05-23 Aditya Mahajan , Demosthenis Teneketzis

Although quantum key distribution (QKD) comes from the development of quantum theory, the implementation of a practical QKD system does involve a lot of classical process, such as key reconciliation and privacy amplification, which is…

Quantum Physics · Physics 2015-05-26 Mo Li , Chun-Mei Zhang , Zhen-Qiang Yin , Wei Chen , Chuan Wang , Zheng-Fu Han

Feedback control protocols can stabilize and enhance the operation of quantum devices, however, unavoidable delays in the feedback loop adversely affect their performance. We introduce a quantum control methodology, combining open-loop…

Quantum Physics · Physics 2010-03-25 Joshua Combes , Howard M. Wiseman , A. J. Scott

This paper studies the performance of a feedback control loop closed via an error-free digital communication channel with transmission delay. The system comprises a discrete-time noisy linear time-invariant (LTI) plant whose single…

Systems and Control · Computer Science 2018-09-05 M. Barforooshan , M. S. Derpich , P. A. Stavrou , J. Østergaard

As large language models continue to scale, low-bit weight-only post-training quantization (PTQ) offers a practical solution to their memory-efficient deployment. Although block-wise PTQ is capable of matching the full-precision (FP)…

Artificial Intelligence · Computer Science 2026-05-29 Jung Hyun Lee , June Yong Yang , Jungwook Choi , Eunho Yang

Finding optimal message quantization is a key requirement for low complexity belief propagation (BP) decoding. To this end, we propose a floating-point surrogate model that imitates quantization effects as additions of uniform noise, whose…

Information Theory · Computer Science 2022-08-11 Marvin Geiselhart , Ahmed Elkelesh , Jannis Clausius , Fei Liang , Wen Xu , Jing Liang , Stephan ten Brink

Energy storage is a basic physical process with many applications. When considering this task at the quantum scale, it becomes important to optimise the non-equilibrium dynamics of energy transfer to the storage device or battery. Here, we…

Quantum Physics · Physics 2022-02-02 Mark T. Mitchison , John Goold , Javier Prior

We study state-feedback design for continuous-time LTI systems with a control input and an external input-output pair. Our objective is to determine feedback gains that render the closed-loop system (strictly) passive with respect to the…

Optimization and Control · Mathematics 2026-05-07 Armin Gießler , Pol Jané-Soneira , Sören Hohmann