Time-Reversal and Reversible Dynamics in Cavity QED for Quantum Metrology
Pith reviewed 2026-07-03 11:57 UTC · model grok-4.3
The pith
Reversible many-body dynamics in cavity QED decode entangled signals for quantum metrology.
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
Core claim
Time-reversal protocols, including signal amplification through a time-reversed interaction (SATIN) and scrambling-enhanced metrology, use controlled nonlinear dynamics in cavity QED to transform weakly encoded signals into accessible observables, establishing reversible many-body dynamics as a central resource for quantum-enhanced sensing.
What carries the argument
Time-reversal of many-body interactions enabling interaction-based readout and signal amplification.
If this is right
- Time-reversal protocols amplify metrological signals beyond the standard quantum limit.
- Decoding via reversible dynamics extracts advantage from entangled states.
- Cavity QED enables controllable reversibility for these protocols.
- Nonlinear decoding extends metrology to complex entangled states.
Where Pith is reading between the lines
- These methods could be adapted to other platforms like optical lattices or ion traps for broader quantum sensing applications.
- Hybrid systems might integrate generation and decoding in one setup to optimize overall sensitivity.
- Experimental tests in larger atom numbers could quantify the scaling benefits of reversible dynamics.
Load-bearing premise
Cavity QED provides collective enhancement, tunable interactions, and controllable reversibility within a single platform.
What would settle it
Demonstration that applying time-reversed interactions in a cavity QED system fails to improve the sensitivity or accessibility of metrological information compared to direct measurement.
read the original abstract
Quantum-enhanced metrology relies on entanglement to achieve sensitivities beyond the standard quantum limit. While remarkable progress has been made in generating highly entangled many-body states, extracting their metrological advantage remains a central challenge because the encoded information is often inaccessible to realistic measurements. A key development of the past decade has been the realization that many-body interactions can play a dual role: they can be used not only to generate entanglement, but also to decode it. This idea underlies interaction-based readout and time-reversal protocols, in which controlled non-linear dynamics transform weakly encoded signals into experimentally accessible observables. Cavity quantum electrodynamics (QED) provides a particularly powerful setting for these approaches because it combines collective enhancement, tunable interactions, and controllable reversibility within a single platform. In this review, we discuss the emergence of time-reversal protocols in cavity QED, from their conceptual roots in Loschmidt echoes to modern implementations of signal amplification through a time-reversed interaction (SATIN), scrambling-enhanced metrology, and more general interaction-based readout schemes. We examine the physical mechanisms that enable reversible many-body dynamics, review key experimental demonstrations, and discuss future directions involving complex entangled states, nonlinear decoding, and emerging quantum platforms. Together, these developments suggest that the ability to decode quantum information may become as important as the ability to generate it, establishing reversible many-body dynamics as a central resource for quantum-enhanced sensing.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. This review paper surveys the use of time-reversal and reversible many-body dynamics in cavity QED for quantum metrology. It argues that many-body interactions serve a dual role in both generating entanglement and decoding encoded information through protocols such as interaction-based readout and signal amplification through a time-reversed interaction (SATIN). The manuscript traces conceptual roots to Loschmidt echoes, covers scrambling-enhanced metrology and related schemes, highlights cavity QED advantages (collective enhancement, tunable interactions, reversibility), reviews experimental demonstrations, and outlines future directions with complex states and nonlinear decoding. The central perspectival claim is that the ability to decode quantum information may become as important as generating it, positioning reversible dynamics as a key resource alongside entanglement generation.
Significance. If the synthesis is accurate, the review could help consolidate an emerging perspective in quantum metrology by linking disparate protocols under the umbrella of reversible dynamics. As a review without new derivations, theorems, or primary data, its value lies in coherent aggregation of existing literature rather than novel predictions or proofs; this may guide experimental design in cavity QED platforms but does not itself constitute a falsifiable advance.
minor comments (1)
- The abstract and introduction could more explicitly distinguish review content from forward-looking speculation to help readers calibrate expectations for a survey paper.
Simulated Author's Rebuttal
We thank the referee for their positive assessment of the manuscript and their recommendation to accept. The referee's summary accurately reflects the scope of the review, which synthesizes the role of reversible many-body dynamics in cavity QED metrology without introducing new derivations or data.
Circularity Check
No circularity: review aggregates external concepts without internal derivations
full rationale
This is a review paper that surveys time-reversal and interaction-based readout protocols in cavity QED, drawing on established ideas such as Loschmidt echoes and SATIN without presenting new equations, theorems, or quantitative predictions. The central claim is a forward-looking synthesis about the importance of reversible dynamics, supported by citations to prior independent work rather than any self-referential fitting or definitional loop. No load-bearing step reduces by construction to the paper's own inputs, making the derivation chain self-contained against external benchmarks.
Axiom & Free-Parameter Ledger
Reference graph
Works this paper leans on
-
[1]
Wineland, D.J., Bollinger, J.J., Itano, W.M., Moore, F.L., Heinzen, D.J.: Spin squeezing and reduced quantum noise in spectroscopy. Phys. Rev. A46, 6797– 6800 (1992) https://doi.org/10.1103/PhysRevA.46.R6797
-
[2]
Wineland, D.J., Bollinger, J.J., Itano, W.M., Heinzen, D.J.: Squeezed atomic states and projection noise in spectroscopy. Phys. Rev. A50, 67–88 (1994) https://doi.org/10.1103/PhysRevA.50.67
-
[3]
Science306(5700), 1330–1336 (2004) https://doi.org/10.1126/science.1104149
Giovannetti, V., Lloyd, S., Maccone, L.: Quantum-enhanced measurements: beating the standard quantum limit. Science306(5700), 1330–1336 (2004) https://doi.org/10.1126/science.1104149
-
[4]
Tóth, G., Apellaniz, I.: Quantum metrology from a quantum information science perspective. J. Phys. A: Math. Theor.47(42), 424006 (2014) https://doi.org/ 10.1088/1751-8113/47/42/424006
-
[5]
Nature455(7217), 1216–1219 (2008) https://doi.org/10.1038/nature07332
Estève, J., Gross, C., Weller, A., Giovanazzi, S., Oberthaler, M.K.: Squeezing and entanglement in a bose–einstein condensate. Nature455(7217), 1216–1219 (2008) https://doi.org/10.1038/nature07332
-
[6]
Nature464(7292), 1165–1169 (2010) https://doi.org/10.1038/nature08919
Gross, C., Zibold, T., Nicklas, E., Esteve, J., Oberthaler, M.K.: Nonlinear atom interferometer surpasses classical precision limit. Nature464(7292), 1165–1169 (2010) https://doi.org/10.1038/nature08919
-
[7]
Hamley,C.D.,Gerving,C.,Hoang,T.M.,Bookjans,E.M.,Chapman,M.S.:Spin- nematic squeezed vacuum in a quantum gas. Nat. Phys.8(4), 305–308 (2012) https://doi.org/10.1038/nphys2245
-
[8]
Ma, J., Wang, X., Sun, C.-P., Nori, F.: Quantum spin squeezing. Phys. Rep. 509(2-3), 89–165 (2011) https://doi.org/10.1016/j.physrep.2011.08.003
-
[9]
Pezze, L., Smerzi, A., Oberthaler, M.K., Schmied, R., Treutlein, P.: Quantum metrology with nonclassical states of atomic ensembles. Rev. Mod. Phys.90(3), 035005 (2018) https://doi.org/10.1103/RevModPhys.90.035005
work page internal anchor Pith review doi:10.1103/revmodphys.90.035005 2018
-
[10]
Huang, J., Zhuang, M., Lee, C.: Entanglement-enhanced quantum metrology: From standard quantum limit to heisenberg limit. Appl. Phys. Rev.11(3), 031302 (2024) https://doi.org/10.1063/5.0204102
-
[11]
Nature581(7807), 159–163 (2020) https://doi
Bao, H., Duan, J., Jin, S., Lu, X., Li, P., Qu, W., Wang, M., Novikova, I., Mikhailov, E.E., Zhao, K.-F.,et al.: Spin squeezing of1011 atoms by prediction and retrodiction measurements. Nature581(7807), 159–163 (2020) https://doi. org/10.1038/s41586-020-2243-7 23
-
[12]
arXiv preprint arXiv:2512.02202 (2025) https: //doi.org/10.48550/arXiv.2512.02202
Kaubruegger, R., Kaufman, A.M.: Progress in quantum metrology and appli- cations for optical atomic clocks. arXiv preprint arXiv:2512.02202 (2025) https: //doi.org/10.48550/arXiv.2512.02202
-
[13]
Ludlow, A.D., Boyd, M.M., Ye, J., Peik, E., Schmidt, P.O.: Optical atomic clocks. Rev. Mod. Phys.87, 637–701 (2015) https://doi.org/10.1103/ RevModPhys.87.637
2015
-
[14]
Gil, L.I.R., Mukherjee, R., Bridge, E.M., Jones, M.P.A., Pohl, T.: Spin squeezing in a rydberg lattice clock. Phys. Rev. Lett.112, 103601 (2014) https://doi.org/ 10.1103/PhysRevLett.112.103601
-
[15]
Nature588(7838), 414–418 (2020) https: //doi.org/10.1038/s41586-020-3006-1
Pedrozo-Peñafiel, E., Colombo, S., Shu, C., Adiyatullin, A.F., Li, Z., Mendez, E., Braverman, B., Kawasaki, A., Akamatsu, D., Xiao, Y.,et al.: Entanglement on an optical atomic-clock transition. Nature588(7838), 414–418 (2020) https: //doi.org/10.1038/s41586-020-3006-1
-
[16]
Schulte, M., Lisdat, C., Schmidt, P.O., Sterr, U., Hammerer, K.: Prospects and challenges for squeezing-enhanced optical atomic clocks. Nat. Commun.11(1), 5955 (2020) https://doi.org/10.1038/s41467-020-19403-7
-
[17]
Colombo, S., Pedrozo-Peñafiel, E., Vuletić, V.: Entanglement-enhanced opti- cal atomic clocks. Appl. Phys. Lett.121(21) (2022) https://doi.org/10.1063/5. 0121372
work page doi:10.1063/5 2022
-
[18]
Science304(5676), 1476–1478 (2004) https://doi.org/10.1126/science.1097576
Leibfried, D., Barrett, M.D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W.M., Jost, J.D., Langer, C., Wineland, D.J.: Toward heisenberg-limited spec- troscopy with multiparticle entangled states. Science304(5676), 1476–1478 (2004) https://doi.org/10.1126/science.1097576
-
[19]
Nature609(7928), 689–694 (2022) https://doi.org/10
Nichol, B.C., Srinivas, R., Nadlinger, D.P., Drmota, P., Main, D., Araneda, G., Ballance, C.J., Lucas, D.M.: An elementary quantum network of entangled optical atomic clocks. Nature609(7928), 689–694 (2022) https://doi.org/10. 1038/s41586-022-05088-z
2022
-
[20]
Dietze, K., Pelzer, L., Krinner, L., Dawel, F., Kramer, J., Spethmann, N.C.H., Kielinski, T., Hammerer, K., Stahl, K., Klose, J., Dörscher, S., Lisdat, C., Ben- kler, E., Schmidt, P.O.: Entanglement-enhanced optical ion clock. Phys. Rev. Lett.136, 073601 (2026) https://doi.org/10.1103/dyqm-k8p6
-
[21]
Robinson, J.M., Miklos, M., Tso, Y.M., Kennedy, C.J., Bothwell, T., Kedar, D., Thompson, J.K., Ye, J.: Direct comparison of two spin-squeezed optical clock ensembles at the10 −17 level. Nat. Phys.20(2), 208–213 (2024) https: //doi.org/10.1038/s41567-023-02310-1
-
[22]
Yang, Y., Miklos, M., Tso, Y.M., Kraus, S., Hur, J., Ye, J.: Clock precision beyond the standard quantum limit at10−18 level. Phys. Rev. Lett.135(19), 24 193202 (2025) https://doi.org/10.1103/6v93-whwq
-
[23]
Nature621(7980), 734–739 (2023) https: //doi.org/10.1038/s41586-023-06360-6
Eckner, W.J., Darkwah Oppong, N., Cao, A., Young, A.W., Milner, W.R., Robinson, J.M., Ye, J., Kaufman, A.M.: Realizing spin squeezing with ryd- berg interactions in an optical clock. Nature621(7980), 734–739 (2023) https: //doi.org/10.1038/s41586-023-06360-6
-
[24]
Nature634(8033), 315–320 (2024) https://doi.org/10.1038/s41586-024-07913-z
Cao, A., Eckner, W.J., Lukin Yelin, T., Young, A.W., Jandura, S., Yan, L., Kim, K., Pupillo, G., Ye, J., Darkwah Oppong, N.,et al.: Multi-qubit gates and schrödinger cat states in an optical clock. Nature634(8033), 315–320 (2024) https://doi.org/10.1038/s41586-024-07913-z
-
[25]
Szigeti, S.S., Hosten, O., Haine, S.A.: Improving cold-atom sensors with quan- tum entanglement: Prospects and challenges. Appl. Phys. Lett.118(14) (2021) https://doi.org/10.1063/5.0050235
-
[26]
Nature610(7932), 472–477 (2022) https://doi.org/10.1038/s41586-022-05197-9
Greve, G.P., Luo, C., Wu, B., Thompson, J.K.: Entanglement-enhanced matter- wave interferometry in a high-finesse cavity. Nature610(7932), 472–477 (2022) https://doi.org/10.1038/s41586-022-05197-9
-
[27]
DeMille, D., Hutzler, N.R., Rey, A.M., Zelevinsky, T.: Quantum sensing and metrology for fundamental physics with molecules. Nat. Phys.20(5), 741–749 (2024) https://doi.org/10.1038/s41567-024-02499-9
-
[28]
Quantum Sci
Terrano, W., Romalis, M.: Comagnetometer probes of dark matter and new physics. Quantum Sci. Technol.7(1), 014001 (2022) https://doi.org/10.1088/ 2058-9565/ac1ae0
2022
-
[29]
Budker, D., Romalis, M.: Optical magnetometry. Nat. Phys.3(4), 227–234 (2007) https://doi.org/10.1038/nphys566
-
[30]
Degen, C.L., Reinhard, F., Cappellaro, P.: Quantum sensing. Rev. Mod. Phys. 89(3), 035002 (2017) https://doi.org/10.1103/RevModPhys.89.035002
work page internal anchor Pith review doi:10.1103/revmodphys.89.035002 2017
-
[31]
Ye, J., Zoller, P.: Essay: Quantum sensing with atomic, molecular, and optical platforms for fundamental physics. Phys. Rev. Lett.132(19), 190001 (2024) https://doi.org/10.1103/PhysRevLett.132.190001
-
[32]
Science345(6195), 424–427 (2014) https://doi.org/10
Strobel, H., Muessel, W., Linnemann, D., Zibold, T., Hume, D.B., Pezzè, L., Smerzi, A., Oberthaler, M.K.: Fisher information and entanglement of non- gaussian spin states. Science345(6195), 424–427 (2014) https://doi.org/10. 1126/science.1250147
2014
-
[33]
Fröwis, F., Sekatski, P., Dür, W.: Detecting large quantum fisher information with finite measurement precision. Phys. Rev. Lett.115(9) (2015) https://doi. org/10.1103/PhysRevLett.116.090801 25
-
[34]
Colombo, S., Pedrozo-Peñafiel, E., Adiyatullin, A.F., Li, Z., Mendez, E., Shu, C., Vuletić, V.: Time-reversal-based quantum metrology with many- body entangled states. Nat. Phys.18, 925–930 (2022) https://doi.org/10.1038/ s41567-022-01653-5
2022
-
[35]
Davis, E., Bentsen, G., Schleier-Smith, M.: Approaching the heisenberg limit without single-particle detection. Phys. Rev. Lett.116(5) (2016) https://doi. org/10.1103/PhysRevLett.116.053601
-
[36]
Nature634(8033), 321–327 (2024) https://doi.org/ 10.1038/s41586-024-08005-8
Finkelstein, R., Tsai, R.B.-S., Sun, X., Scholl, P., Direkci, S., Gefen, T., Choi, J., Shaw, A.L., Endres, M.: Universal quantum operations and ancilla-based read-out for tweezer clocks. Nature634(8033), 321–327 (2024) https://doi.org/ 10.1038/s41586-024-08005-8
-
[37]
Science352(6293), 1552–1555 (2016) https://doi.org/10.1126/ science.aaf3397
Hosten, O., Krishnakumar, R., Engelsen, N.J., Kasevich, M.A.: Quantum phase magnification. Science352(6293), 1552–1555 (2016) https://doi.org/10.1126/ science.aaf3397
2016
-
[38]
Nolan, S.P., Szigeti, S.S., Haine, S.A.: Optimal and robust quantum metrology using interaction-based readouts. Phys. Rev. Lett.119(19) (2017) https://doi. org/10.1103/PhysRevLett.119.193601
-
[39]
Haine, S.A.: Using interaction-based readouts to approach the ultimate limit of detection-noise robustness for quantum-enhanced metrology in collective spin systems. Phys. Rev. A98(3) (2018) https://doi.org/10.1103/PhysRevA. 98.030303
-
[40]
Quantum4, 268–286 (2020) https://doi.org/10.22331/q-2020-05-15-268
Schulte, M., Martínez-Lahuerta, V.J., Scharnagl, M.S., Hammerer, K.: Ramsey interferometry with generalized one-axis twisting echoes. Quantum4, 268–286 (2020) https://doi.org/10.22331/q-2020-05-15-268
-
[41]
Macrì, T., Smerzi, A., Pezzè, L.: Loschmidt echo for quantum metrology. Phys. Rev. A94(1) (2016) https://doi.org/10.1103/PhysRevA.94.010102
-
[42]
Scholarpedia7(8), 11687 (2012) https://doi.org/10.4249/scholarpedia.11687
Goussev, A., Jalabert, R.A., Pastawski, H.M., Wisniacki, D.: Loschmidt echo. Scholarpedia7(8), 11687 (2012) https://doi.org/10.4249/scholarpedia.11687
-
[43]
Science380(6652), 1381–1384 (2023) https://doi.org/10
Li, Z., Colombo, S., Shu, C., Velez, G., Pilatowsky-Cameo, S., Schmied, R., Choi, S., Lukin, M., Pedrozo-Peñafiel, E., Vuletić, V.: Improving metrology with quantum scrambling. Science380(6652), 1381–1384 (2023) https://doi.org/10. 1126/science.adg9500
2023
-
[44]
Linnemann, D., Strobel, H., Muessel, W., Schulz, J., Lewis-Swan, R.J., Kheruntsyan, K.V., Oberthaler, M.K.: Quantum-enhanced sensing based on time reversal of nonlinear dynamics. Phys. Rev. Lett.117(1) (2016) https: //doi.org/10.1103/PhysRevLett.117.013001 26
-
[45]
Mao, T.-W., Liu, Q., Li, X., Cao, J.-H., Chen, F., Xu, W., Sun, Y.-R., Wang, M., You, L.: Quantum-enhanced sensing by echoing spin-nematic squeezing in atomic bose–einstein condensate. Nat. Phys.18, 1585–1590 (2022) https://doi. org/10.1038/s41567-023-02168-3
-
[46]
Science373(6555), 673–678 (2021) https://doi.org/10.1126/science.abi5226
Gilmore, K.A., Affolter, M., Lewis-Swan, R.J., Barberena, D., Jordan, E., Rey, A.M., Bollinger, J.J.: Quantum-enhanced sensing of displacements and electric fields with two-dimensional trapped-ion crystals. Science373(6555), 673–678 (2021) https://doi.org/10.1126/science.abi5226
-
[47]
PRX Quantum3(2) (2022) https://doi.org/10.1103/PRXQuantum.3.020308
Li, Z., Braverman, B., Colombo, S., Shu, C., Kawasaki, A., Adiyatullin, A.F., Pedrozo-Peñafiel, E., Mendez, E., Vuletić, V.: Collective spin-light and light- mediated spin-spin interactions in an optical cavity. PRX Quantum3(2) (2022) https://doi.org/10.1103/PRXQuantum.3.020308
-
[48]
Nature529(7587), 505–508 (2016) https://doi.org/10.1038/nature16176
Hosten, O., Engelsen, N.J., Krishnakumar, R., Kasevich, M.A.: Measurement noise 100 times lower than the quantum-projection limit using entangled atoms. Nature529(7587), 505–508 (2016) https://doi.org/10.1038/nature16176
-
[49]
Cox, K.C., Greve, G.P., Weiner, J.M., Thompson, J.K.: Deterministic squeezed states with collective measurements and feedback. Phys. Rev. Lett.116(9), 093602 (2016) https://doi.org/10.1103/PhysRevLett.116.093602
-
[50]
Schleier-Smith, M.H., Leroux, I.D., Vuletić, V.: Squeezing the collective spin of a dilute atomic ensemble by cavity feedback. Phys. Rev. A81, 021804 (2010) https://doi.org/10.1103/PhysRevA.81.021804
-
[51]
Leroux,I.D.,Schleier-Smith,M.H.,Vuletić,V.:Implementationofcavitysqueez- ing of a collective atomic spin. Phys. Rev. Lett.104(7), 073602 (2010) https: //doi.org/10.1103/PhysRevLett.104.073602
-
[52]
Braverman, B., Kawasaki, A., Pedrozo-Peñafiel, E., Colombo, S., Shu, C., Li, Z., Mendez, E., Yamoah, M., Salvi, L., Akamatsu, D., Xiao, Y., Vuletić, V.: Near- unitary spin squeezing in 171Yb. Phys. Rev. Lett.122, 223203 (2019) https: //doi.org/10.1103/PhysRevLett.122.223203
-
[53]
Nature646(8084), 309–314 (2025) https://doi.org/10
Zaporski, L., Liu, Q., Velez, G., Radzihovsky, M., Li, Z., Colombo, S., Pedrozo- Peñafiel, E., Vuletić, V.: Quantum-amplified global-phase spectroscopy on an optical clock transition. Nature646(8084), 309–314 (2025) https://doi.org/10. 1038/s41586-025-09578-8
2025
-
[54]
In: Arimondo, E., Berman, P.R., Lin, C.C
Tanji-Suzuki, H., Leroux, I.D., Schleier-Smith, M.H., Cetina, M., Grier, A.T., Simon, J., Vuletić, V.: Interaction between atomic ensembles and optical res- onators: Classical description. In: Arimondo, E., Berman, P.R., Lin, C.C. (eds.) Adv. At. Mol. Opt. Phys. vol. 60, pp. 201–237. Academic Press, New York (2011). https://doi.org/10.1016/B978-0-12-38550...
-
[55]
EPL42(5), 481–486 (1998) https://doi.org/10.1209/ epl/i1998-00277-9
Kuzmich, A., Bigelow, N., Mandel, L.: Atomic quantum non-demolition mea- surements and squeezing. EPL42(5), 481–486 (1998) https://doi.org/10.1209/ epl/i1998-00277-9
1998
-
[56]
Appel, J., Windpassinger, P.J., Oblak, D., Hoff, U.B., Kjærgaard, N., Polzik, E.S.: Mesoscopic atomic entanglement for precision measurements beyond the standard quantum limit. Proc. Natl. Acad. Sci. U.S.A.106(27), 10960–10965 (2009) https://doi.org/10.1073/pnas.0901550106
-
[57]
Saffman, M., Oblak, D., Appel, J., Polzik, E.: Spin squeezing of atomic ensem- bles by multicolor quantum nondemolition measurements. Phys. Rev. A79(2), 023831 (2009) https://doi.org/10.1103/PhysRevA.79.023831
-
[58]
Dissipative generation of spin squeezing in the resolved vacuum Rabi splitting limit
Chaparro, E., Song, E.Y., Barberena, D., Thompson, J.K., Rey, A.M., Young, J.T.: Dissipative generation of spin squeezing in the resolved vacuum rabi split- ting limit. arXiv preprint arXiv:2605.30815 (2026) https://doi.org/10.48550/ arXiv.2605.30815
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[59]
Takano, T., Fuyama, M., Namiki, R., Takahashi, Y.: Spin squeezing of a cold atomic ensemble with the nuclear spin of one-half. Phys. Rev. Lett.102, 033601 (2009) https://doi.org/10.1103/PhysRevLett.102.033601
-
[60]
Kitagawa, M., Ueda, M.: Squeezed spin states. Phys. Rev. A47, 5138–5143 (1993) https://doi.org/10.1103/PhysRevA.47.5138
-
[61]
Morigi, G., Solano, E., Englert, B.-G., Walther, H.: Reversing the jaynes– cummings dynamics to measure decoherence. J. Opt. B: Quantum semiclass. Opt.4(4), 310–312 (2002) https://doi.org/10.1088/1464-4266/4/4/312 . Special issue
-
[62]
Meunier, T., Gleyzes, S., Maioli, P., Auffeves, A., Nogues, G., Brune, M., Raimond, J.M., Haroche, S.: Rabi oscillations revival induced by time rever- sal: a test of mesoscopic quantum coherence. Phys. Rev. Lett.94(1) (2005) https://doi.org/10.1103/PhysRevLett.94.010401
-
[63]
arXiv preprint arXiv:2601.20952 (2026) https://doi.org/10.48550/arXiv.2601.20952
Wang, Y.-X., Salvati, F., Arvidsson-Shukur, D.R., Braasch Jr, W.F., Murch, K., Halpern, N.Y.: Quantum metrology enhanced by effective time reversal. arXiv preprint arXiv:2601.20952 (2026) https://doi.org/10.48550/arXiv.2601.20952
-
[64]
Anders, F., Pezzè, L., Smerzi, A., Klempt, C.: Phase magnification by two-axis countertwisting for detection-noise robust interferometry. Phys. Rev. A97(4), 043813 (2018) https://doi.org/10.1103/PhysRevA.97.043813
-
[65]
Mirkhalaf, S.S., Nolan, S.P., Haine, S.A.: Robustifying twist-and-turn entan- glement with interaction-based readout. Phys. Rev. A97(5) (2018) https: //doi.org/10.1103/PhysRevA.97.053618 28
-
[66]
ComptesRendus.Physique23,1–26(2022)https://doi.org/10.5802/crphys.103
Baamara, Y., Sinatra, A., Gessner, M.: Squeezing of nonlinear spin observ- ables by one axis twisting in the presence of decoherence: An analytical study. ComptesRendus.Physique23,1–26(2022)https://doi.org/10.5802/crphys.103
-
[67]
Lewis-Swan,R.J.,Barberena,D.,Muniz,J.A.,Cline,J.R.K.,Young,D.,Thomp- son, J.K., Rey, A.M.: Protocol for precise field sensing in the optical domain with cold atoms in a cavity. Phys. Rev. Lett.124, 193602 (2020) https://doi. org/10.1103/PhysRevLett.124.193602
-
[68]
Science364(6446), 1163–1165 (2019) https://doi.org/10.1126/ science.aaw2884
Burd, S.C., Srinivas, R., Bollinger, J.J., Wilson, A.C., Wineland, D.J., Leibfried, D., Slichter, D.H., Allcock, D.T.C.: Quantum amplification of mechanical oscil- lator motion. Science364(6446), 1163–1165 (2019) https://doi.org/10.1126/ science.aaw2884
2019
-
[69]
Nature, 740–745 (2023) https://doi.org/10
Franke, J., Muleady, S.R., Kaubruegger, R., Kranzl, F., Blatt, R., Rey, A.M., Joshi, M.K., Roos, C.F.: Quantum-enhanced sensing on optical transitions through finite-range interactions. Nature, 740–745 (2023) https://doi.org/10. 1038/s41586-023-06472-z
2023
-
[70]
Zhang, Z., Duan, L.M.: Quantum metrology with dicke squeezed states. New J. Phys.16(10), 103037 (2014) https://doi.org/10.1088/1367-2630/16/10/103037
-
[71]
Lücke, B., Peise, J., Vitagliano, G., Arlt, J., Santos, L., Tóth, G., Klempt, C.: Detecting multiparticle entanglement of dicke states. Phys. Rev. Lett.112(15), 155304 (2014) https://doi.org/10.1103/PhysRevLett.112.155304
-
[72]
Science334(6057), 773–776 (2011) https://doi.org/ 10.1126/science.1208798
Lücke, B., Scherer, M., Kruse, J., Pezzé, L., Deuretzbacher, F., Hyllus, P., Topic, O., Peise, J., Ertmer, W., Arlt, J.,et al.: Twin matter waves for interferometry beyond the classical limit. Science334(6057), 773–776 (2011) https://doi.org/ 10.1126/science.1208798
-
[73]
Kessler, E.M., Komar, P., Bishof, M., Jiang, L., Sørensen, A.S., Ye, J., Lukin, M.D.: Heisenberg-limited atom clocks based on entangled qubits. Phys. Rev. Lett.112(19), 190403 (2014) https://doi.org/10.1103/PhysRevLett.112.190403
-
[74]
Gessner, M., Smerzi, A., Pezzè, L.: Metrological nonlinear squeezing parameter. Phys. Rev. Lett.122(9), 090503 (2019) https://doi.org/10.1103/PhysRevLett. 122.090503
-
[75]
arXiv preprint arXiv:2602.06308 (2026) https://doi.org/ 10.48550/arXiv.2602.06308
Carrasco, S.C., Goerz, M.H., Li, Z., Colombo, S., Vuletić, V., Schleich, W.P., Malinovsky, V.S.: Time-reversal interferometry using cat states with scalable entangling resources. arXiv preprint arXiv:2602.06308 (2026) https://doi.org/ 10.48550/arXiv.2602.06308
-
[76]
Butterfly Echo Protocol for Axis-Agnostic Heisenberg-Limited Metrology
Bringewatt, J., Zaporski, L., Radzihovsky, M., Albert, J., Gorshkov, A.V., Vuletić, V., Bentsen, G.: Butterfly echo protocol for axis-agnostic heisenberg- limited metrology. arXiv preprint arXiv:2602.23332 (2026) https://doi.org/10. 29 48550/arXiv.2602.23332
work page internal anchor Pith review Pith/arXiv arXiv 2026
-
[77]
arXiv preprint arXiv:2601.16026 (2026) https://doi.org/10.48550/arXiv.2601.16026
Liu, D.-S., Chen, Z.-J., Hua, Z., Zhou, Y., Jie, Q.-X., Cai, W., Li, M., Sun, L., Zou, C.-L., Ren, X.-F.,et al.: Echoed random quantum metrology. arXiv preprint arXiv:2601.16026 (2026) https://doi.org/10.48550/arXiv.2601.16026
-
[78]
Shao, L., Xing, H.-J., Fu, L.: Enhanced quantum metrology via saddle-point scrambling in phase space. Phys. Rev. Lett.136(18), 180203 (2026) https:// doi.org/10.1103/4sn5-ngdg
-
[79]
Gärttner, M., Bohnet, J.G., Safavi-Naini, A., Wall, M.L., Bollinger, J.J., Rey, A.M.: Measuring out-of-time-order correlations and multiple quantum spectra in a trapped-ion quantum magnet. Nat. Phys.13(8), 781–786 (2017) https: //doi.org/10.1038/nphys4119
-
[80]
Escher, B., Matos Filho, R.L., Davidovich, L.: General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology. Nat. Phys. 7(5), 406–411 (2011) https://doi.org/10.1038/nphys1958
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.