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We present a quantum-enhanced atomic clock protocol based on groups of sequentially larger Greenberger-Horne-Zeilinger (GHZ) states, that achieves the best clock stability allowed by quantum theory up to a logarithmic correction. The…

Atomic clocks are crucial for science and technology, but their sensitivity is often restricted by the standard quantum limit. To surpass this limit, correlations between particles or interrogation times must be leveraged. Although the…

Quantum Physics · Physics 2024-10-28 Chengyin Han , Zhu Ma , Yuxiang Qiu , Ruihuan Fang , Jiatao Wu , Chang Zhan , Maojie Li , Jiahao Huang , Bo Lu , Chaohong Lee

The ultimate stability of atomic clocks is limited by the quantum noise of the atoms. To reduce this noise it has been suggested to use entangled atomic ensembles with reduced atomic noise. Potentially this can push the stability all the…

Quantum Physics · Physics 2014-10-14 Johannes Borregaard , Anders S. Sørensen

Quantum entanglement offers powerful opportunities for enhancing measurement sensitivity beyond classical limits, with optical atomic clocks serving as a leading platform for such advances. This chapter introduces the principles of…

Quantum Physics · Physics 2025-12-04 Raphael Kaubruegger , Adam M. Kaufman

We propose a hybrid quantum-classical atomic clock protocol where the interrogation of an ensemble of uncorrelated atoms in a spin-coherent state is used to feedback one (or more) spin-squeezed atomic ensembles toward their optimal phase…

Quantum Physics · Physics 2020-11-25 Luca Pezzè , Augusto Smerzi

Optical atomic clocks are our most precise tools to measure time and frequency. They enable precision frequency comparisons between atoms in separate locations to probe the space-time variation of fundamental constants, the properties of…

Atomic Physics · Physics 2022-09-09 B. C. Nichol , R. Srinivas , D. P. Nadlinger , P. Drmota , D. Main , G. Araneda , C. J. Ballance , D. M. Lucas

Many-particle entanglement is a key resource for achieving the fundamental precision limits of a quantum sensor. Optical atomic clocks, the current state-of-the-art in frequency precision, are a rapidly emerging area of focus for…

We present an enhanced entangled quantum clock protocol that incorporates a quantum phase estimation algorithm to directly estimate proper-time differences as an unknown phase. By employing highly entangled multi-clock states, the…

Quantum Physics · Physics 2026-04-09 Won-Young Hwang

Entanglement is an essential resource in many quantum information tasks and entanglement witness is a widely used tool for its detection. In experiments the prepared state generally deviates from the target state due to some noise. Normally…

Quantum Physics · Physics 2020-01-08 You Zhou

We investigate strategies for reaching the ultimate limit on the precision of frequency estimation when the number of probes used in each run of the experiment is fixed. That limit is set by the quantum Cram\'er-Rao bound (QCRB), which…

In quantum metrology, entanglement represents a valuable resource that can be used to overcome the Standard Quantum Limit (SQL) that bounds the precision of sensors that operate with independent particles. Measurements beyond the SQL are…

Accurately characterizing multipartite entangled states is a critical challenge in quantum information processing. In this work, we focus on applying compressed sensing techniques to efficiently estimate the fidelity of…

Quantum Physics · Physics 2026-05-01 Farrokh Labib , David Nicholaeff , Vincent Russo , William J. Zeng

Spin-squeezed states constitute a valuable entanglement resource capable of surpassing the standard quantum limit (SQL). However, spin-squeezed states only enable sub-SQL uncertainty within a narrow parametric window near some specific…

Quantum Physics · Physics 2025-10-10 Jinye Wei , Jungeng Zhou , Yi Shen , Jiahao Huang , Chaohong Lee

The use of correlated states and measurements promises improvements in the accuracy of frequency metrology and the stability of atomic clocks. However, developing strategies robust against dominant noise processes remains challenging. We…

Quantum Physics · Physics 2024-10-29 Timm Kielinski , Piet O. Schmidt , Klemens Hammerer

As quantum technology advances and the size of quantum computers grow, it becomes increasingly important to understand the extent of quality in the devices. As large-scale entanglement is a quantum resource crucial for achieving quantum…

Quantum Physics · Physics 2024-10-07 John F Kam , Haiyue Kang , Charles D Hill , Gary J Mooney , Lloyd C L Hollenberg

Recent developments in atomic physics have enabled the experimental generation of many-body entangled states to boost the performance of quantum sensors beyond the Standard Quantum Limit (SQL). This limit is imposed by the inherent…

Quantum Physics · Physics 2024-06-19 Simone Colombo , Edwin Pedrozo-Peñafiel , Vladan Vuletić

In a quantum network that successfully creates links, shared Bell states between neighboring repeater nodes, with probability $p$ in each time slot, and performs Bell State Measurements at nodes with success probability $q<1$, the end to…

Quantum Physics · Physics 2022-04-15 Ashlesha Patil , Joshua I. Jacobson , Emily van Milligen , Don Towsley , Saikat Guha

For single-parameter sensing, Greenberger-Horne-Zeilinger (GHZ) probes achieve optimal quantum-enhanced precision across the unknown parameter range, solely relying on parameter-independent separable measurement strategies for all values of…

Quantum Physics · Physics 2025-11-07 Mauricio Gutiérrez , Chiranjib Mukhopadhyay , Victor Montenegro , Abolfazl Bayat

The Heisenberg time-energy relation prevents determination of an atomic transition to better than the inverse of the measurement time. The relation generally applies to frequency estimation of a near-resonant field [1-3], since information…

Quantum Physics · Physics 2021-06-08 Liam P. McGuinness

Balancing high sensitivity with a broad dynamic range is a fundamental challenge in measurement science, as improving one often compromises the other. While traditional quantum metrology has prioritized enhancing local sensitivity, a large…

Quantum Physics · Physics 2025-07-25 Qi Liu , Ming Xue , Matthew Radzihovsky , Xinwei Li , Denis V. Vasilyev , Ling-Na Wu , Vladan Vuletić
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