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We investigate quantum metrology using a Lie algebraic approach for a class of Hamiltonians, including local and nearest-neighbor interaction Hamiltonians. Using this Lie algebraic formulation, we identify and construct highly symmetric…

量子物理 · 物理学 2015-08-26 Michalis Skotiniotis , Florian Fröwis , Wolfgang Dür , Barbara Kraus

Surpassing the standard quantum limit and even reaching the Heisenberg limit using quantum entanglement, represents the Holy Grail of quantum metrology. However, quantum entanglement is a valuable resource that does not come without a…

量子物理 · 物理学 2023-04-28 Yaoming Chu , Xiangbei Li , Jianming Cai

Quantum metrology pursues the physical realization of higher-precision measurements to physical quantities than the classically achievable limit by exploiting quantum features, such as entanglement and squeezing, as resources. It has…

量子物理 · 物理学 2023-11-29 Lin Jiao , Wei Wu , Si-Yuan Bai , Jun-Hong An

Quantum-enhanced metrology surpasses classical metrology by improving estimation precision scaling with a resource $N$ (e.g., particle number or energy) from $1/\sqrt{N}$ to $1/N$. Through the use of nonlinear effects, Roy and…

量子物理 · 物理学 2025-04-07 Noah Lordi , John Drew Wilson , Murray J. Holland , Joshua Combes

We introduce the notion of fault-tolerant quantum metrology to overcome noise beyond our control -- associated with sensing the parameter, by reducing the noise in operations under our control -- associated with preparing and measuring…

量子物理 · 物理学 2019-08-29 Theodoros Kapourniotis , Animesh Datta

Quantum metrology and quantum communications are typically considered as distinct applications in the broader portfolio of quantum technologies. However, there are cases where we might want to combine the two and recent proposals have shown…

量子物理 · 物理学 2023-02-08 Sean William Moore , Jacob Andrew Dunningham

Quantum metrology employs quantum resources to enhance the measurement sensitivity beyond that can be achieved classically. While multi-photon entangled NOON states can in principle beat the shot-noise limit and reach the Heisenberg limit,…

Heisenberg's uncertainty principle, which imposes intrinsic restrictions on our ability to predict the outcomes of incompatible quantum measurements to arbitrary precision, demonstrates one of the key differences between classical and…

量子物理 · 物理学 2021-05-05 Yunlong Xiao , Kuntal Sengupta , Siren Yang , Gilad Gour

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

量子物理 · 物理学 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

Quantum metrology is a promising practical use case for quantum technologies, where physical quantities can be measured with unprecedented precision. In lieu of quantum error correction procedures, near term quantum devices are expected to…

量子物理 · 物理学 2021-12-03 Yingkai Ouyang , Nathan Shettell , Damian Markham

Learning the Hamiltonian governing a quantum system is a central task in quantum metrology, sensing, and device characterization. Existing Heisenberg-limited Hamiltonian learning protocols either require multi-qubit operations that are…

量子物理 · 物理学 2026-01-16 Shrigyan Brahmachari , Shuchen Zhu , Iman Marvian , Yu Tong

The critical quantum metrology, which exploits the quantum phase transition for high precision measurement, has gained increasing attention recently. The critical quantum metrology with the continuous quantum phase transition, however, is…

量子物理 · 物理学 2021-02-16 Ran Liu , Yu Chen , Min Jiang , Xiaodong Yang , Ze Wu , Yuchen Li , Haidong Yuan , Xinhua Peng , Jiangfeng Du

We have investigated high-precision measurements, beyond the standard quantum limit, utilizing non-classical states. Although entanglement has been considered a resource for achieving the Heisenberg limit in measurements, we show that any…

量子物理 · 物理学 2015-05-13 Todd Tilma , Shinichiro Hamaji , W. J. Munro , Kae Nemoto

The goal of quantum metrology is to improve measurements' sensitivities by harnessing quantum resources. Metrologists often aim to maximize the quantum Fisher information, which bounds the measurement setup's sensitivity. In studies of…

Traditional asymptotic information-theoretic studies of the fundamental limits of wireless communication systems primarily rely on some ideal assumptions, such as infinite blocklength and vanishing error probability. While these assumptions…

信息论 · 计算机科学 2025-12-29 Junyuan Gao , Shuao Chen , Yongpeng Wu , Liang Liu , Giuseppe Caire , H. Vincent Poor , Wenjun Zhang

Adaptive techniques make practical many quantum measurements that would otherwise be beyond current laboratory capabilities. For example: they allow discrimination of nonorthogonal states with a probability of error equal to the Helstrom…

量子物理 · 物理学 2009-12-15 H. M. Wiseman , D. W. Berry , S. D. Bartlett , B. L. Higgins , G. J. Pryde

We introduce and characterize two different measures which quantify the level of synchronization of interacting continuous variable quantum systems. The two measures allow to extend to the quantum domain the notions of complete and phase…

量子物理 · 物理学 2013-09-11 A. Mari , A. Farace , N. Didier , V. Giovannetti , R. Fazio

An asymmetric preparation of the quantum states sent through a noisy channel can enable a new way to monitor and actively compensate the channel noise. The paradigm of such an asymmetric treatment of quantum information is the Bennett 1992…

量子物理 · 物理学 2015-05-18 Marco Lucamarini , Giovanni Di Giuseppe , David Vitali , Paolo Tombesi

Phase transitions represent a compelling tool for classical and quantum sensing applications. It has been demonstrated that quantum sensors can in principle saturate the Heisenberg scaling, the ultimate precision bound allowed by quantum…

量子物理 · 物理学 2024-01-31 Louis Garbe , Obinna Abah , Simone Felicetti , Ricardo Puebla

Traditional quantum metrology assesses precision using the figures of merit of continuous-valued parameter estimation. Recently, quantum digital estimation was introduced: it evaluates the performance information-theoretically by…