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Measures of entanglement, fidelity and purity are basic yardsticks in quantum information processing. We propose how to implement these measures using linear devices and homodyne detectors for continuous variable Gaussian states. In…

量子物理 · 物理学 2009-11-07 M. S. Kim , Jinhyoung Lee , W. J. Munro

State disturbance by a quantum measurement is at the core of foundational quantum physics and constitutes a fundamental basis of secure quantum information processing. While quantifying an information-disturbance relation has been a…

量子物理 · 物理学 2022-02-07 Seongjin Hong , Yong-Su Kim , Young-Wook Cho , Jaewan Kim , Seung-Woo Lee , Hyang-Tag Lim

In this work, we take the initiative in studying the information-theoretic tradeoff between communication and quickest change detection (QCD) under an integrated sensing and communication setting. We formally establish a joint communication…

信息论 · 计算机科学 2024-10-11 Daewon Seo , Sung Hoon Lim

The task of jointly communicating a message and reconstructing a common estimate of the channel state is examined for a fading Gaussian model with additive state interference. The state is an independent and identically distributed Gaussian…

信息论 · 计算机科学 2026-01-07 Viswanathan Ramachandran

We present graphs of information versus disturbance for general quantum measurements of completely unknown states. Each piece of information and disturbance is quantified by two measures: (i) the Shannon entropy and estimation fidelity for…

量子物理 · 物理学 2017-08-31 Hiroaki Terashima

This paper characterizes the trade-offs between information and energy transmission over an additive white Gaussian noise channel in the finite block-length regime with finite channel input symbols. These trade-offs are characterized in the…

信息论 · 计算机科学 2024-08-16 Sadaf ul Zuhra , Samir M. Perlaza , H. Vincent Poor , Mikael Skoglund

We study the information-theoretic limits of joint communication and sensing when the sensing task is modeled as the estimation of a discrete channel state fixed during the transmission of an entire codeword. This setting captures scenarios…

信息论 · 计算机科学 2023-05-17 Meng-Che Chang , Shi-Yuan Wang , Tuna Erdoğan , Matthieu R. Bloch

We investigate the tradeoff between the quality of an approximate version of a given measurement and the disturbance it induces in the measured quantum system. We prove that if the target measurement is a non-degenerate von Neumann…

量子物理 · 物理学 2019-01-23 Anna-Lena K. Hashagen , Michael M. Wolf

A communication setup is considered where a transmitter wishes to convey a message to a receiver and simultaneously estimates the state of that receiver through a common waveform. The state is estimated at the transmitter by means of…

信息论 · 计算机科学 2022-06-03 Mehrasa Ahmadipour , Mari Kobayashi , Miche`le Wigger , Giuseppe Caire

In 1927, Heisenberg heuristically disclosed the tradeoff between the error in the measurement and the caused disturbance on another complementary observable. In the quantum theory, most of uncertainty relations are proposed to reveal the…

量子物理 · 物理学 2014-10-29 Li-Yi Hsu

Common misconceptions on the Heisenberg principle are reviewed, and the original spirit of the principle is reestablished in terms of the trade-off between information retrieved by a measurement and disturbance on the measured system. After…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano

In this thesis, I reflect on quantum instruments that measure the state of pure finite dimensional quantum systems. As the Heisenberg principle dictates, there exists a joint restriction to the information gain and distortion by measurement…

量子物理 · 物理学 2007-05-23 Thijs van der Valk

We introduce information-theoretic definitions for noise and disturbance in quantum measurements and prove a state-independent noise-disturbance tradeoff relation that these quantities have to satisfy in any conceivable setup. Contrary to…

量子物理 · 物理学 2014-07-29 Francesco Buscemi , Michael J. W. Hall , Masanao Ozawa , Mark M. Wilde

Information-theoretic definitions for the noise associated with a quantum measurement and the corresponding disturbance to the state of the system have recently been introduced [F. Buscemi et al., Phys. Rev. Lett. 112, 050401 (2014)]. These…

量子物理 · 物理学 2016-12-14 Alastair A. Abbott , Cyril Branciard

Energy efficient information transmission may be relevant to biological sensory signal processing as well as to low power electronic devices. We explore its consequences in two different regimes. In an ``immediate'' regime, we argue that…

统计力学 · 物理学 2007-05-23 Vijay Balasubramanian , Don Kimber , Michael J Berry

The present paper is devoted to investigation of the entropy reduction and entanglement-assisted classical capacity (information gain) of continuous variable quantum measurements. These quantities are computed explicitly for multimode…

量子物理 · 物理学 2020-08-31 A. S. Holevo , A. A. Kuznetsova

In this paper, the optimal sampling strategies (uniform or nonuniform) and distortion tradeoffs for Gaussian bandlimited periodic signals with additive white Gaussian noise are studied. Our emphasis is on characterizing the optimal sampling…

信息论 · 计算机科学 2016-11-01 Elaheh Mohammadi , Farokh Marvasti

We introduce the problem of communication with partial information, where there is an asymmetry between the transmitter and the receiver codebooks. Practical applications of the proposed setup include the robust signal hashing problem…

信息论 · 计算机科学 2009-10-29 Onur Ozyesil , M. Kivanc Mihcak , Yucel Altug

In general, classical measurement statistics of a quantum measurement is disturbed by performing an additional incompatible quantum measurement beforehand. Using this observation, we introduce a state-independent definition of disturbance…

量子物理 · 物理学 2016-05-04 S. S. Zhou , Shengjun Wu , H. F. Chau

In this paper, the fundamental limits on the rates at which information and energy can be simultaneously transmitted over an additive white Gaussian noise channel are studied under the following assumptions: $(a)$ the channel is memoryless;…

信息论 · 计算机科学 2021-10-06 Sadaf ul Zuhra , Samir M. Perlaza , Eitan Altman