Improvement of Frequency Standards with Quantum Entanglement
Open accessAbstract
The optimal precision of frequency measurements in the presence of decoherence is discussed. We analyze different preparations of $n$ two-level systems as well as different measurement procedures. We show that standard Ramsey spectroscopy on uncorrelated atoms and optimal measurements on maximally entangled states provide the same resolution. The best resolution is achieved using partially entangled preparations with a high degree of symmetry.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the presence of decoherence, the optimal input states do not have an intuitive form and the maximization of the quantum Fisher information with rising N becomes hard even numerically.
“In the presence of decoherence, the optimal input states do not have an intuitive form and the maximization of the QFI (with rising N) becomes hard even numerically202930.”
From The elusive Heisenberg limit in quantum-enhanced metrology (2012) · cites this paper as [20]
There is compelling theoretical and/or experimental evidence that quantum phenomena are essential for understanding environment assisted excitation energy transport in photosynthesis.
“environment assisted excitation energy transport in photosynthesis [11, 15, 16], magneto-reception of birds [17-19] and the mechanism underlying olfaction [20, 21], for which there is some compelling theoretical and/or experimental evidence that quantum phenomena are essential for their understanding.”
From Vibrations, quanta and biology (2013) · cites this paper as [15]
Investigations in quantum biology found that system-environment interaction may enhance transport for example in photosynthetic quantum networks.
“investigations in quantum biology found that they may enhance transport for example in photosynthetic quantum networks [15, 16].”
From Vibrations, quanta and biology (2013) · cites this paper as [15]
The conductivity of the electronic transport network in the FMO complex exhibits a maximum at a finite dephasing rate.
“the conductivity of the electronic transport network in the FMO complex (quantified as the rate at which the reaction center is populated in steady state divided by the rate at which excitations enter the transport network) exhibits a maximum at a finite dephasing rate”
From Vibrations, quanta and biology (2013) · cites this paper as [15]
Dephasing noise can actually assist electronic transport.
“dephasing noise can actually assist the electronic transport [15, 16].”
From Vibrations, quanta and biology (2013) · cites this paper as [15]
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
Statistical distance and the geometry of quantum states
Braunstein, S. L., & Caves, C. M. (1994) · Physical Review Letters · doi:10.1103/physrevlett.72.3439 · Cited by 3,176 · see citing works
Optimal frequency measurements with maximally correlated states
Bollinger, J. J., Itano, W. M., Wineland, D. J., & Heinzen, D. J. (1996) · Physical Review A · doi:10.1103/physreva.54.r4649 · Cited by 1,167 · see citing works
Squeezed atomic states and projection noise in spectroscopy
Wineland, D. J., Bollinger, J. J., Itano, W. M., & Heinzen, D. J. (1994) · Physical Review A · doi:10.1103/physreva.50.67 · Cited by 1,162 · see citing works
Spin squeezing and reduced quantum noise in spectroscopy
Wineland, D. J., Bollinger, J. J., Itano, W. M., Moore, F. L., & Heinzen, D. J. (1992) · Physical Review A · doi:10.1103/physreva.46.r6797 · Cited by 1,135 · see citing works
Gardiner, C. W. (1991) · Springer Series in Synergetics · doi:10.1007/978-3-662-09642-0 · Cited by 993 · see citing works
Conditional Quantum Dynamics and Logic Gates
Barenco, A., Deutsch, D., EKERT, A. K., & Jozsa, R. (1995) · Physical Review Letters · doi:10.1103/physrevlett.74.4083 · Cited by 966 · see citing works
Self-citationStatistical distance and Hilbert space
Wootters, W. K. (1981) · Physical Review D · doi:10.1103/physrevd.23.357 · Cited by 793 · see citing works
Generalized uncertainty relations: Theory, examples, and Lorentz invariance
Braunstein, S. L., Caves, C. M., & Milburn, G. J. (1996) · Annals of Physics · doi:10.1006/aphy.1996.0040 · Cited by 732 · see citing works
Quantum projection noise: Population fluctuations in two-level systems
Itano, W. M., Bergquist, J. C., Bollinger, J. J., Gilligan, J. M., Heinzen, D. J., Moore, F. L., Raizen, M. G., & Wineland, D. J. (1993) · Physical Review A · doi:10.1103/physreva.47.3554 · Cited by 613 · see citing works
Progress at NIST toward absolute frequency standards using stored ions
Wineland, D. J., Bergquist, J., Bollinger, J. J., Itano, W. M., Heinzen, D. J., Gilbert, S. L., Manney, C. H., & Raizen, M. G. (1990) · IEEE Transactions on Ultrasonics Ferroelectrics and Frequency Control · doi:10.1109/58.63107 · Cited by 68 · see citing works
Flagged first, then by citations
Research works printed but not linked: 4
- D. J. Wineland et al., IEEE Trans. on Ultrasonics, Fer- roelectrics and Frequency Control A37, 515 (1990)
- A. Barenco et al., Phys. Rev. Lett. 74, 4083 (1995).
- S. L. Braunstein and C. Caves, Phys. Rev. Lett. 72, 3439 (1994)
- S. L. Braunstein, C. Caves and G. J. Milburn, Annals of Physics 247, 135 (1996)
Cited by
Sorted by citations
Horodecki, R., Horodecki, P., Horodecki, M., & Horodecki, K. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.865 · Cited by 10,118 · see citing works
Degen, C. L., Reinhard, F., & Cappellaro, P. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.035002 · Cited by 4,045 · see citing works
Giovannetti, V., Lloyd, S., & Maccone, L. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.35 · Cited by 3,894 · see citing works
Quantum-Enhanced Measurements: Beating the Standard Quantum Limit
Giovannetti, V., Lloyd, S., & Maccone, L. (2004) · Science · doi:10.1126/science.1104149 · Cited by 3,014 · see citing works
Giovannetti, V., Lloyd, S., & Maccone, L. (2006) · Physical Review Letters · doi:10.1103/physrevlett.96.010401 · Cited by 2,440 · see citing works
Ludlow, A. D., Boyd, M. M., Ye, J., Peik, E., & Schmidt, P. O. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.637 · Cited by 2,385 · see citing works
Colloquium : Quantum coherence as a resource
Streltsov, A., Adesso, G., & Plenio, M. B. (2017) · Reviews of Modern Physics · doi:10.1103/revmodphys.89.041003 · Cited by 1,787 · see citing works
Self-citationQuantum metrology with nonclassical states of atomic ensembles
Pezzè, L., Smerzi, A., Oberthaler, M. K., Schmied, R., & Treutlein, P. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035005 · Cited by 1,705 · see citing works
Dark-State Polaritons in Electromagnetically Induced Transparency
Fleischhauer, M., & Lukin, M. D. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.5094 · Cited by 1,614 · see citing works
Dipole Blockade and Quantum Information Processing in Mesoscopic Atomic Ensembles
Lukin, M. D., Fleischhauer, M., Côté, R., Duan, L.-M., Jaksch, D., Cirac, J. I., & Zoller, P. (2001) · Physical Review Letters · doi:10.1103/physrevlett.87.037901 · Cited by 1,614 · see citing works
Self-citationQuantum Interferometric Optical Lithography: Exploiting Entanglement to Beat the Diffraction Limit
Boto, A. N., Kok, P., Abrams, D. S., Braunstein, S. L., Williams, C. P., & Dowling, J. P. (2000) · Physical Review Letters · doi:10.1103/physrevlett.85.2733 · Cited by 1,494 · see citing works
Cleve, R., EKERT, A. K., Macchiavello, C., & Mosca, M. (1998) · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences · doi:10.1098/rspa.1998.0164 · Cited by 1,279 · see citing works
Self-citationEntangled states of trapped atomic ions
Blatt, R., & Wineland, D. J. (2008) · Nature · doi:10.1038/nature07125 · Cited by 1,165 · see citing works
General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
Escher, B. M., de Matos Filho, R. L., & Davidovich, L. (2011) · Nature Physics · doi:10.1038/nphys1958 · Cited by 928 · see citing works
Quantum metrology from a quantum information science perspective
Tóth, G., & Apellaniz, I. (2014) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8113/47/42/424006 · Cited by 862 · see citing works
Ma, J., Wang, X., Sun, C. P., & Nori, F. (2011) · Physics Reports · doi:10.1016/j.physrep.2011.08.003 · Cited by 843 · see citing works
Super-resolving phase measurements with a multiphoton entangled state
Mitchell, M. W., Lundeen, J. S., & Steinberg, A. M. (2004) · Nature · doi:10.1038/nature02493 · Cited by 830 · see citing works
The elusive Heisenberg limit in quantum-enhanced metrology
Demkowicz-Dobrzański, R., Kołodyński, J., & Guţă, M. (2012) · Nature Communications · doi:10.1038/ncomms2067 · Cited by 773 · see citing works
Kómár, P., Kessler, E. M., Bishof, M., Jiang, L., Sørensen, A. S., Ye, J., & Lukin, M. D. (2014) · Nature Physics · doi:10.1038/nphys3000 · Cited by 768 · see citing works
Distributed quantum computation over noisy channels
Cirac, J. I., EKERT, A. K., Huelga, S. F., & Macchiavello, C. (1999) · Physical Review A · doi:10.1103/physreva.59.4249 · Cited by 656 · see citing works
Self-citationQuantum Metrology in Non-Markovian Environments
Chin, A. W., Huelga, S. F., & Plenio, M. B. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.233601 · Cited by 645 · see citing works
Self-citationToward Heisenberg-Limited Spectroscopy with Multiparticle Entangled States
Leibfried, D., Barrett, M. D., Schaetz, T., Britton, J., Chiaverini, J., Itano, W. M., Jost, J. D., Langer, C., & Wineland, D. J. (2004) · Science · doi:10.1126/science.1097576 · Cited by 645 · see citing works
Deterministic Entanglement of Two Trapped Ions
Turchette, Q. A., Wood, C. S., King, B. E., Myatt, C. J., Leibfried, D., Itano, W. M., Monroe, C., & Wineland, D. J. (1998) · Physical Review Letters · doi:10.1103/physrevlett.81.3631 · Cited by 639 · see citing works
Vibrations, quanta and biology
Huelga, S. F., & Plenio, M. B. (2013) · Contemporary Physics · doi:10.1080/00405000.2013.829687 · Cited by 568 · see citing works
Self-citationHybrid Quantum-Classical Algorithms and Quantum Error Mitigation
Endo, S., Cai, Z., Benjamin, S. C., & Yuan, X. (2021) · Journal of the Physical Society of Japan · doi:10.7566/jpsj.90.032001 · Cited by 566 · see citing works
Squeezed states of light and their applications in laser interferometers
Schnabel, R. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.04.001 · Cited by 537 · see citing works
Quantum Limits in Optical Interferometry
Demkowicz-Dobrzański, R., Jarzyna, M., & Kołodyński, J. (2015) · Progress in optics · doi:10.1016/bs.po.2015.02.003 · Cited by 521 · see citing works
Cavity-loss-induced generation of entangled atoms
Plenio, M. B., Huelga, S. F., Beige, A., & Knight, P. L. (1999) · Physical Review A · doi:10.1103/physreva.59.2468 · Cited by 515 · see citing works
Self-citationA quantum Rosetta stone for interferometry
Lee, H., Kok, P., & Dowling, J. P. (2002) · Journal of Modern Optics · doi:10.1080/0950034021000011536 · Cited by 499 · see citing works
Optimal Quantum Phase Estimation
Dorner, U., Demkowicz-Dobrzanski, R., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2009) · Physical Review Letters · doi:10.1103/physrevlett.102.040403 · Cited by 494 · see citing works
Quantum Speed Limits in Open System Dynamics
del Campo, A., Egusquiza, I. L., Plenio, M. B., & Huelga, S. F. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.050403 · Cited by 493 · see citing works
Self-citationNobel Lecture: Superposition, entanglement, and raising Schrödinger’s cat
Wineland, D. J. (2013) · Reviews of Modern Physics · doi:10.1103/revmodphys.85.1103 · Cited by 493 · see citing works
Research on hidden variable theories: A review of recent progresses
Genovese, M. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.03.003 · Cited by 462 · see citing works
Quantum metrology and its application in biology
Taylor, M. A., & Bowen, W. P. (2015) · Physics Reports · doi:10.1016/j.physrep.2015.12.002 · Cited by 461 · see citing works
Entangled states and collective nonclassical effects in two-atom systems
Ficek, Z., & Tanaś, R. (2002) · Physics Reports · doi:10.1016/s0370-1573(02)00368-x · Cited by 448 · see citing works
Quantum-enhanced measurements without entanglement
Braun, D., Adesso, G., Benatti, F., Floreanini, R., Marzolino, U., Mitchell, M. W., & Pirandola, S. (2018) · Reviews of Modern Physics · doi:10.1103/revmodphys.90.035006 · Cited by 434 · see citing works
Quantum Noise Limited and Entanglement-Assisted Magnetometry
Wasilewski, W., Jensen, K., Krauter, H., Renema, J. J., Balabas, M. V., & Polzik, E. S. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.133601 · Cited by 428 · see citing works
Polino, E., Valeri, M., Spagnolo, N., & Sciarrino, F. (2020) · AVS Quantum Science · doi:10.1116/5.0007577 · Cited by 413 · see citing works
Entanglement of Atomic Ensembles by Trapping Correlated Photon States
Lukin, M. D., Yelin, S. F., & Fleischhauer, M. (2000) · Physical Review Letters · doi:10.1103/physrevlett.84.4232 · Cited by 409 · see citing works
Entanglement certification from theory to experiment
Friis, N., Vitagliano, G., Malik, M., & Huber, M. (2018) · Nature Reviews Physics · doi:10.1038/s42254-018-0003-5 · Cited by 378 · see citing works
Using Entanglement Against Noise in Quantum Metrology
Demkowicz-Dobrzański, R., & Maccone, L. (2014) · Physical Review Letters · doi:10.1103/physrevlett.113.250801 · Cited by 366 · see citing works
Subfemtotesla Scalar Atomic Magnetometry Using Multipass Cells
Sheng, D., Li, S., Dural, N., & Romalis, M. V. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.160802 · Cited by 364 · see citing works
Observation of Entangled States of a Fully Controlled 20-Qubit System
Friis, N., Marty, O., Maier, C., Hempel, C., Holzäpfel, M., Jurcevic, P., Plenio, M. B., Huber, M., Roos, C., Blatt, R., et al. (2018) · Physical Review X · doi:10.1103/physrevx.8.021012 · Cited by 354 · see citing works
Self-citationSubmillihertz magnetic spectroscopy performed with a nanoscale quantum sensor
Schmitt, S., Gefen, T., Stürner, F. M., Unden, T., Wolff, G., Müller, C., Scheuer, J., Naydenov, B., Markham, M., Pezzagna, S., et al. (2017) · Science · doi:10.1126/science.aam5532 · Cited by 348 · see citing works
Self-citationIntroduction to Optical Quantum Information Processing
Kok, P., & Lovett, B. W. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9781139193658 · Cited by 336 · see citing works
Magnetic Sensitivity Beyond the Projection Noise Limit by Spin Squeezing
Sewell, R. J., Koschorreck, M., Napolitano, M., Dubost, B., Behbood, N., & Mitchell, M. W. (2012) · Physical Review Letters · doi:10.1103/physrevlett.109.253605 · Cited by 321 · see citing works
Fisher information under decoherence in Bloch representation
Zhong, W., Sun, Z., Ma, J., Wang, X., & Nori, F. (2013) · Physical Review A · doi:10.1103/physreva.87.022337 · Cited by 320 · see citing works
Quantum computation and quantum information
Nagy, M., & Akl, S. G. (2005) · International Journal of Parallel Emergent and Distributed Systems · doi:10.1080/17445760500355678 · Cited by 320 · see citing works
Correlated input-port, matter-wave interferometer: Quantum-noise limits to the atom-laser gyroscope
Dowling, J. P. (1998) · Physical Review A · doi:10.1103/physreva.57.4736 · Cited by 319 · see citing works
Multiparameter Estimation in Networked Quantum Sensors
Proctor, T. J., Knott, P. A., & Dunningham, J. A. (2018) · Physical Review Letters · doi:10.1103/physrevlett.120.080501 · Cited by 318 · see citing works
“[40] Given a fixed time of evolution [41].”
BackgroundQuantum phase estimation with lossy interferometers
Demkowicz-Dobrzanski, R., Dorner, U., Smith, B. J., Lundeen, J. S., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2009) · Physical Review A · doi:10.1103/physreva.80.013825 · Cited by 315 · see citing works
Open-system dynamics of entanglement:a key issues review
Aolita, L., de Melo, F., & Davidovich, L. (2015) · Reports on Progress in Physics · doi:10.1088/0034-4885/78/4/042001 · Cited by 310 · see citing works
Compatibility in multiparameter quantum metrology
Ragy, S., Jarzyna, M., & Demkowicz-Dobrzański, R. (2016) · Physical Review A · doi:10.1103/physreva.94.052108 · Cited by 305 · see citing works
Individual Quantum Probes for Optimal Thermometry
Correa, L. A., Mehboudi, M., Adesso, G., & Sanpera, A. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.220405 · Cited by 299 · see citing works
Improved Quantum Metrology Using Quantum Error Correction
Dür, W., Skotiniotis, M., Fröwis, F., & Kraus, B. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.080801 · Cited by 299 · see citing works
Entanglement-Enhanced Sensing in a Lossy and Noisy Environment
Zhang, Z., Mouradian, S., Wong, F. N. C., & Shapiro, J. H. (2015) · Physical Review Letters · doi:10.1103/physrevlett.114.110506 · Cited by 287 · see citing works
Achieving the Heisenberg limit in quantum metrology using quantum error correction
Zhou, S., Zhang, M., Preskill, J., & Jiang, L. (2018) · Nature Communications · doi:10.1038/s41467-017-02510-3 · Cited by 285 · see citing works
Quantum Error Correction for Metrology
Kessler, E. M., Lovchinsky, I., Sushkov, A. O., & Lukin, M. D. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.150802 · Cited by 276 · see citing works
Increased seasonality in Middle East temperatures during the last interglacial period
Felis, T., Lohmann, G., Kuhnert, H., Lorenz, S. J., Scholz, D., Pätzold, J., Al-Rousan, S. A., & Al-Moghrabi, S. M. (2004) · Nature · doi:10.1038/nature02546 · Cited by 274 · see citing works
Quantum Discord Determines the Interferometric Power of Quantum States
Girolami, D., Souza, A. M., Giovannetti, V., Tufarelli, T., Filgueiras, J. G., Sarthour, R. S., Soares-Pinto, D. O., Oliveira, I. S., & Adesso, G. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.210401 · Cited by 273 · see citing works
Multi-parameter quantum metrology
Szczykulska, M., Baumgratz, T., & Datta, A. (2016) · Advances in Physics: X · doi:10.1080/23746149.2016.1230476 · Cited by 267 · see citing works
Long-Lived Memory for Mesoscopic Quantum Bits
Taylor, J. M., Marcus, C. M., & Lukin, M. D. (2003) · Physical Review Letters · doi:10.1103/physrevlett.90.206803 · Cited by 258 · see citing works
Geometric perspective on quantum parameter estimation
Sidhu, J. S., & Kok, P. (2020) · AVS Quantum Science · doi:10.1116/1.5119961 · Cited by 253 · see citing works
Experimental quantum-enhanced estimation of a lossy phase shift
Kacprowicz, M., Demkowicz-Dobrzański, R., Wasilewski, W., Banaszek, K., & Walmsley, I. A. (2010) · Nature Photonics · doi:10.1038/nphoton.2010.39 · Cited by 252 · see citing works
Critical Quantum Metrology with a Finite-Component Quantum Phase Transition
Garbe, L., Bina, M., Keller, A., Paris, M. G. A., & Felicetti, S. (2020) · Physical Review Letters · doi:10.1103/physrevlett.124.120504 · Cited by 241 · see citing works
A Molecular Approach to Quantum Sensing
Yu, C.-J., von Kugelgen, S., Laorenza, D. W., & Freedman, D. E. (2021) · ACS Central Science · doi:10.1021/acscentsci.0c00737 · Cited by 222 · see citing works
Quantum discord and its allies: a review of recent progress
Bera, A., Das, T., Sadhukhan, D., Roy, S. S., Sen, A., & Sen, U. (2017) · Reports on Progress in Physics · doi:10.1088/1361-6633/aa872f · Cited by 221 · see citing works
Multiparticle Entanglement Purification for Graph States
Dür, W., Aschauer, H. N., & Briegel, H. J. (2003) · Physical Review Letters · doi:10.1103/physrevlett.91.107903 · Cited by 216 · see citing works
Quantum Metrology in Open Systems: Dissipative Cramér-Rao Bound
Alipour, S., Mehboudi, M., & Rezakhani, A. T. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.120405 · Cited by 214 · see citing works
Single-ion quantum lock-in amplifier
Kotler, S., Akerman, N., Glickman, Y., Keselman, A., & Ozeri, R. (2011) · Nature · doi:10.1038/nature10010 · Cited by 212 · see citing works
Starling, D. J., Dixon, P. B., Jordan, A. N., & Howell, J. C. (2009) · Physical Review A · doi:10.1103/physreva.80.041803 · Cited by 211 · see citing works
Magnetic field sensing beyond the standard quantum limit under the effect of decoherence
Matsuzaki, Y., Benjamin, S. C., & Fitzsimons, J. (2011) · Physical Review A · doi:10.1103/physreva.84.012103 · Cited by 208 · see citing works
Geometry of quantum phase transitions
Carollo, A. C. M., Valenti, D., & Spagnolo, B. (2019) · Physics Reports · doi:10.1016/j.physrep.2019.11.002 · Cited by 204 · see citing works
Bužek, V., Derka, R., & Massar, S. (1999) · Physical Review Letters · doi:10.1103/physrevlett.82.2207 · Cited by 203 · see citing works
Multi-parameter estimation beyond quantum Fisher information
Demkowicz-Dobrzański, R., Górecki, W., & Guţǎ, M. (2020) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab8ef3 · Cited by 202 · see citing works
Increasing Sensing Resolution with Error Correction
Arrad, G., Vinkler-Aviv, Y., Aharonov, D., & Retzker, A. (2014) · Physical Review Letters · doi:10.1103/physrevlett.112.150801 · Cited by 197 · see citing works
Noisy Metrology beyond the Standard Quantum Limit
Chaves, R., Brask, J. B., Markiewicz, M., Kołodyński, J., & Acín, A. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.120401 · Cited by 193 · see citing works
Schrödinger cats and their power for quantum information processing
Gilchrist, A., Nemoto, K., Munro, W. J., Ralph, T. C., Glancy, S., Braunstein, S. L., & Milburn, G. J. (2004) · Journal of Optics B Quantum and Semiclassical Optics · doi:10.1088/1464-4266/6/8/032 · Cited by 192 · see citing works
Entanglement properties of multipartite entangled states under the influence of decoherence
Hein, M., Dür, W., & Briegel, H. J. (2005) · Physical Review A · doi:10.1103/physreva.71.032350 · Cited by 191 · see citing works
Thermometry in the quantum regime: recent theoretical progress
Mehboudi, M., Sanpera, A., & Correa, L. A. (2019) · Journal of Physics A Mathematical and Theoretical · doi:10.1088/1751-8121/ab2828 · Cited by 188 · see citing works
Orientation-Dependent Entanglement Lifetime in a Squeezed Atomic Clock
Leroux, I. D., Schleier-Smith, M., & Vuletić, V. (2010) · Physical Review Letters · doi:10.1103/physrevlett.104.250801 · Cited by 185 · see citing works
Quantum information and precision measurement
Childs, A. M., Preskill, J. P., & Renes, J. M. (2000) · Journal of Modern Optics · doi:10.1080/09500340008244034 · Cited by 183 · see citing works
Quantum interferometry with and without an external phase reference
Jarzyna, M., & Demkowicz-Dobrzański, R. (2012) · Physical Review A · doi:10.1103/physreva.85.011801 · Cited by 182 · see citing works
Quantum Fisher information of the Greenberger-Horne-Zeilinger state in decoherence channels
Ma, J., Huang, Y., Wang, X., & Sun, C. P. (2011) · Physical Review A · doi:10.1103/physreva.84.022302 · Cited by 182 · see citing works
Entanglement-assisted atomic clock beyond the projection noise limit
Louchet-Chauvet, A., Appel, J., Renema, J. J., Oblak, D., Kjærgaard, N., & Polzik, E. S. (2010) · New Journal of Physics · doi:10.1088/1367-2630/12/6/065032 · Cited by 181 · see citing works
Fisher information and spin squeezing in the Lipkin-Meshkov-Glick model
Ma, J., & Wang, X. (2009) · Physical Review A · doi:10.1103/physreva.80.012318 · Cited by 179 · see citing works
Decoherence, Pointer Engineering, and Quantum State Protection
Carvalho, A. R. R., Milman, P., Filho, R. L. D. M., & Davidovich, L. (2001) · Physical Review Letters · doi:10.1103/physrevlett.86.4988 · Cited by 179 · see citing works
Quantum Optical Technologies for Metrology, Sensing, and Imaging
Dowling, J. P., & Seshadreesan, K. P. (2014) · Journal of Lightwave Technology · doi:10.1109/jlt.2014.2386795 · Cited by 178 · see citing works
Ultimate Precision Limits for Noisy Frequency Estimation
Smirne, A., Kołodyński, J., Huelga, S. F., & Demkowicz-Dobrzański, R. (2016) · Physical Review Letters · doi:10.1103/physrevlett.116.120801 · Cited by 176 · see citing works
Self-citationQuantum metrology for a general Hamiltonian parameter
Pang, S., & Brun, T. A. (2014) · Physical Review A · doi:10.1103/physreva.90.022117 · Cited by 175 · see citing works
Weak-force detection with superposed coherent states
Munro, W. J., Nemoto, K., Milburn, G. J., & Braunstein, S. L. (2002) · Physical Review A · doi:10.1103/physreva.66.023819 · Cited by 173 · see citing works
Spin squeezing of 1011 atoms by prediction and retrodiction measurements
Bao, H., Duan, J., Jin, S., Lu, X., Li, P., Qu, W., Wang, M., Novikova, I. V., Mikhailov, E. E., Zhao, K.-F., et al. (2020) · Nature · doi:10.1038/s41586-020-2243-7 · Cited by 171 · see citing works
Adaptive Quantum Metrology under General Markovian Noise
Demkowicz-Dobrzański, R., Czajkowski, J., & Sekatski, P. (2017) · Physical Review X · doi:10.1103/physrevx.7.041009 · Cited by 170 · see citing works
Optimal and secure measurement protocols for quantum sensor networks
Eldredge, Z., Foss‐Feig, M., Gross, J. A., Rolston, S. L., & Gorshkov, A. V. (2018) · Physical Review A · doi:10.1103/physreva.97.042337 · Cited by 169 · see citing works
On quantumness in multi-parameter quantum estimation
Carollo, A. C. M., Spagnolo, B., Dubkov, A. A., & Valenti, D. (2019) · Journal of Statistical Mechanics Theory and Experiment · doi:10.1088/1742-5468/ab3ccb · Cited by 167 · see citing works
Efficient tools for quantum metrology with uncorrelated noise
Kołodyński, J., & Demkowicz-Dobrzański, R. (2013) · New Journal of Physics · doi:10.1088/1367-2630/15/7/073043 · Cited by 165 · see citing works
Breakdown of Quasilocality in Long-Range Quantum Lattice Models
Eisert, J., van den Worm, M., Manmana, S. R., & Kästner, M. (2013) · Physical Review Letters · doi:10.1103/physrevlett.111.260401 · Cited by 162 · see citing works
Criticality-Enhanced Quantum Sensing via Continuous Measurement
Ilias, T., Yang, D., Huelga, S. F., & Plenio, M. B. (2022) · PRX Quantum · doi:10.1103/prxquantum.3.010354 · Cited by 156 · see citing works
Self-citationStability of Atomic Clocks Based on Entangled Atoms
André, A., Sørensen, A. S., & Lukin, M. D. (2004) · Physical Review Letters · doi:10.1103/physrevlett.92.230801 · Cited by 155 · see citing works
Vedral, V., & Plenio, M. B. (1998) · Progress in Quantum Electronics · doi:10.1016/s0079-6727(98)00004-4 · Cited by 154 · see citing works
Self-citation
- Authors
- Huelga, S. F., Macchiavello, C., Pellizzari, T., Ekert, A. K., Plenio, M. B., & Cirac, J. I.
- Affiliations
- University of Oxford (GB)
- Universität Innsbruck (AT)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1997-11-17
- Volume
- 79
- Issue
- 20
- Pages
- 3865-3868
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2015876000
- Cited by
- 999
- References
- 10
- Citations by year
- 2026: 38 · 2025: 61 · 2024: 58 · 2023: 36 · 2022: 37 · 2021: 70 · 2020: 63 · 2019: 48 · 2018: 48 · 2017: 49 · 2016: 62 · 2015: 47 · 2014: 59 · 2013: 49 · 2012: 29
- FWCI
- 8.00
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- University of Hertfordshire Research Archive (University of Hertfordshire) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Spiral (Imperial College London) (submittedVersion)
- arXiv (Cornell University)
- Funders
- Royal Society
- Austrian Science Fund
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Advanced Frequency and Time Standards
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- frequency standards, quantum entanglement, decoherence, Ramsey spectroscopy, two-level system, maximally entangled states, partially entangled states, optimal measurement, frequency resolution, quantum metrology
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
