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Entanglement-enhanced quantum sensors encounter a fundamental trade-off: while entanglement improves precision to the Heisenberg limit, it restricts dynamic range. To address this trade-off, we present a credible-interval-based adaptive…

Quantum Physics · Physics 2026-01-06 Jungeng Zhou , Jiahao Huang , Jinye Wei , Chengyin Han , Chaohong Lee

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

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

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

Improving the clock stability is of fundamental importance for the development of quantum-enhanced metrology. One of the main limitations arises from the randomly-fluctuating local oscillator (LO) frequency, which introduces "phase slips"…

Quantum Physics · Physics 2022-06-01 Weidong Li , Shuyuan Wu , Augusto Smerzi , Luca Pezzè

The stability of several clock protocols based on 2 to 20 entangled atoms is evaluated numerically by a simulation that includes the effect of decoherence due to classical oscillator noise. In this context the squeezed states discussed by…

Quantum Physics · Physics 2012-03-06 Till Rosenband

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

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

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

Entangled states hold the promise of improving the precision and accuracy of quantum sensors. We experimentally demonstrate that spectroscopy of an optical clock transition using entangled states can outperform its classical counterpart.…

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 study two quantum versions of the Eddington clock-synchronization protocol in the presence of decoherence. The first protocol uses maximally entangled states to achieve the Heisenberg limit for clock synchronization. The second protocol…

Quantum Physics · Physics 2007-05-23 Sergio Boixo , Carlton M. Caves , Animesh Datta , Anil Shaji

The concatenated Greenberger-Horne-Zeiglinger (C-GHZ) state which is a new type of logic-qubit entanglement has attracted a lot of attentions recently. We present a feasible entanglement concentration protocol (ECP) for logic-qubit…

Quantum Physics · Physics 2016-02-09 Yu-Bo Sheng , Chang-Cheng Qu , Lan Zhou

Greenberger-Horne-Zeilinger (GHZ) states, also known as two-component Schr\"{o}dinger cats, play vital roles in the foundation of quantum physics and, more attractively, in future quantum technologies such as fault-tolerant quantum…

We analyze the effect of realistic noise sources for an atomic clock consisting of a local oscillator that is actively locked to a spin-squeezed (entangled) ensemble of $N$ atoms. We show that the use of entangled states can lead to an…

Quantum Physics · Physics 2009-11-10 A. Andre , A. S. Sorensen , M. D. Lukin

We propose an experimentally feasible scheme to generate Greenberger-Horne-Zeilinger (GHZ) type of maximal entanglement between many atomic ensembles based on laser manipulation and single-photon detection. The scheme, with inherent fault…

Quantum Physics · Physics 2009-11-07 L. -M. Duan

We propose a multi party quantum clock synchronization protocol that makes optimal use of the maximal multipartite entanglement of GHZ-type states. To realize the protocol, different versions of maximally entangled eigenstates of collective…

Quantum Physics · Physics 2015-06-04 Changliang Ren , Holger F. Hofmann

The frequency stability achieved by an optical atomic clock ultimately depends on the coherence of its local oscillator. Even the best ultrastable lasers only allow interrogation times of a few seconds, at present. Here we present a…

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
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