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Linear quantum amplifiers are indispensable tools for quantum technologies, yet their performance is fundamentally limited by quantum noise, precluding any signal-to-noise ratio (SNR) enhancement unless supplemented by post-selection or…

Quantum Physics · Physics 2026-03-13 Ya-Long Ren , Rong-Teng Cao , Sheng-Li Ma , Ren Zhang , Fu-Li Li , Franco Nori , Peng-Bo Li

An ideal phase-preserving linear amplifier is a deterministic device that adds to an input signal the minimal amount of noise consistent with the constraints imposed by quantum mechanics. A noiseless linear amplifier takes an input coherent…

Quantum Physics · Physics 2013-10-04 Shashank Pandey , Zhang Jiang , Joshua Combes , Carlton M. Caves

A deterministic quantum amplifier inevitably adds noise to an amplified signal due to the uncertainty principle in quantum physics. We here investigate how a quantum-noise-limited amplifier can be improved by additionally employing the…

Quantum Physics · Physics 2015-06-04 Ho-Joon Kim , Su-Yong Lee , Se-Wan Ji , Hyunchul Nha

In this work, we address the central problem about how to effectively find the available precision limit of unknown parameters. In the framework of the quantum Ziv-Zakai bound (QZZB), we employ noiseless linear amplification (NLA)techniques…

Quantum Physics · Physics 2024-04-23 Wei Ye , Peng Xiao , Xiaofan Xu , Xiang Zhu , Yunbin Yan , Lu Wang , Jie Ren , Yuxuan Zhu , Ying Xia , Xuan Rao , Shoukang Chang

We derive a bound on the precision of state estimation for finite dimensional quantum systems and prove its attainability in the generic case where the spectrum is non-degenerate. Our results hold under an assumption called local asymptotic…

Quantum Physics · Physics 2019-05-09 Yuxiang Yang , Giulio Chiribella , Masahito Hayashi

In a continuous-variable quantum key distribution (CV-QKD) protocol, which is based on heterodyne detection at the receiver, the application of a noiseless linear amplifier (NLA) on the received signal before the detection can be emulated…

Quantum Physics · Physics 2020-05-27 Nedasadat Hosseinidehaj , Andrew M. Lance , Thomas Symul , Nathan Walk , Timothy C. Ralph

A modified four-state CVQKD protocol is proposed to increase the maximum transmission distance and tolerable excess noise in the presence of Gaussian lossy and noisy channel by using a noiseless linear amplifier (NLA). A NLA with amplitude…

Quantum Physics · Physics 2016-07-08 Bingjie Xu , Chunming Tang , Hui Chen , Wenzheng Zhang , Fuchen Zhu

We analyze and compare the characterization of a quantum device in terms of noise, transmitted bit-error-rate (BER) and mutual information, showing how the noise description is meaningful only for Gaussian channels. After reviewing the…

Quantum Physics · Physics 2015-06-26 G. M. D'Ariano , C. Macchiavello , L. Maccone

In this article, a previously published amplifier-less potentiostat architecture is further examined. Starting with a linearized model, the impact of the most important parameters is studied taking in account the electrodes-solution…

Systems and Control · Electrical Eng. & Systems 2025-04-30 Andrea Sannino , David-Peter Wiens , Maurits Ortmanns , José I. Artigas , Aránzazu Otín

In an ideal linear amplifier, the output signal is linearly related to the input signal with an additive noise that is independent of the input. The decoherence of a quantum-mechanical state as a result of optical amplification is usually…

Quantum Physics · Physics 2018-02-19 J. D. Franson , R. A. Brewster

We propose a scheme for parameter estimation with the steady states of non-Hermitian spin chains. The parameters to be estimated are encoded in the system via the external magnetic field that imposed on the first site of the chain. We…

Quantum Physics · Physics 2022-06-07 Huiqin Zhang , Jiasen Jin

We establish the necessary and sufficient conditions for unbiased estimation in multi-parameter estimation tasks. More specifically, we first consider quantum state estimation, where multiple parameters are encoded in a quantum state, and…

Quantum Physics · Physics 2026-03-03 Hyukgun Kwon , Kento Tsubouchi , Chia-Tung Chu , Liang Jiang

In order to make a unified treatment for estimation problems of a very small noise or a very weak signal in a quantum process, we introduce the notion of a low-noise quantum channel with one noise parameter. It is known in several examples…

Quantum Physics · Physics 2010-04-28 Masahiro Hotta , Tokishiro Karasawa , Masanao Ozawa

We propose a method to improve the performance of two entanglement-based continuous-variable quantum key distribution protocols using noiseless linear amplifiers. The two entanglement-based schemes consist of an entanglement distribution…

Nearly all identifiability results in unsupervised representation learning inspired by, e.g., independent component analysis, factor analysis, and causal representation learning, rely on assumptions of additive independent noise or…

Machine Learning · Computer Science 2025-03-24 Yujia Zheng , Yang Liu , Jiaxiong Yao , Yingyao Hu , Kun Zhang

Any quantum device that amplifies coherent states of a field while preserving their phase generates noise. A nonlinear, phase-invariant amplifier may generate less noise, over a range of input field strengths, than any linear amplifier with…

Condensed Matter · Physics 2009-10-22 Dmitri Kouznetsov , Roberto Ortega , Daniel Rohrlich

The quantum Fisher information (QFI) bounds the sensitivity of a quantum measurement, heralding the conditions for quantum advantages when compared with classical strategies. Here, we calculate analytical expressions for the QFI of…

Quantum Physics · Physics 2025-02-05 Jasper Kranias , Guillaume Thekkadath , Khabat Heshami , Aaron Z. Goldberg

Recently we find several candidates of quantum algorithms that may be implementable in near-term devices for estimating the amplitude of a given quantum state, which is a core sub- routine in various computing tasks such as the Monte Carlo…

Quantum Physics · Physics 2021-10-12 Tomoki Tanaka , Yohichi Suzuki , Shumpei Uno , Rudy Raymond , Tamiya Onodera , Naoki Yamamoto

It is a fundamental principle of quantum theory that an unknown state cannot be copied or, as a consequence, an unknown optical signal cannot be amplified deterministically and perfectly. Here we describe a protocol that provides…

Quantum Physics · Physics 2013-11-25 Electra Eleftheriadou , Stephen M. Barnett , John Jeffers

We address the characterization of dissipative bosonic channels and show that estimation of the loss rate by Gaussian probes (coherent or squeezed) is improved in the presence of Kerr nonlinearity. In particular, enhancement of precision…

Quantum Physics · Physics 2016-05-11 Matteo A. C. Rossi , Francesco Albarelli , Matteo G. A. Paris