The elusive Heisenberg limit in quantum-enhanced metrology

Demkowicz-Dobrzański, Rafał, Kołodyński, Jan, Guţă, Mădălin·2012·Nature Communications
DOI 10.1038/ncomms2067

Cited by (769)

Items 601–700 of 769

  1. Bosonic entanglement and quantum sensing from energy transfer in two-tone Floquet systems
    Y. J. Chen, Andreas Elben, Ángel Rubio, Gil Refael · 2025 · Physical Review Research
  2. Exponential Entanglement Advantage in Sensing Correlated Noise
    Anonymous, Jacob Bringewatt, Alireza Seif, Anthony J. Brady, Changhun Oh, Alexey Vyacheslavovich Gorshkov · 2026 · Physical Review Letters
  3. Dephasing Process of a Single Atom Interacting with a Two-Mode Field
    Eied Mahmoud Khalil, K. Berrada, S. Abdel‐Khalek, Beida Alsubei, Hichem Eleuch · 2021 · Entropy
  4. Quantum Fisher information of the GHZ state due to classical phase noise lasers under non-Markovian environment
    Yu Chen, Jian Zou, Ziyi Yang, Longwu Li, Hai Li, Bin Shao · 2016 · Annals of Physics
  5. A quantum-chaotic cesium-vapor magnetometer
    Lukas J. Fiderer, Daniel Braun · 2019 · Optical and Quantum Sensing and Precision Metrology II
  6. Enhancing the precision of parameter estimation in a dissipative qutrit via quantum feedback control and classical driving
    Chang Wang, Mao-Fa Fang · 2020 · Quantum Information Processing
  7. Improving phase sensitivity of interferometers by inverse operations
    Chaoping Wei, Yong Qin · 2021 · Journal of Modern Optics
  8. P T-Enhanced Bayesian Parameter Estimation
    Yaroslav Balytskyi, Manohar Raavi, Sang‐Yoon Chang · 2021 · IEEE International Conference on Quantum Computing and Engineering (QCE)
  9. Time-energy uncertainty relation for noisy quantum metrology
    Philippe Faist, Mischa P. Woods, Victor V. Albert, Joseph M. Renes, Jens Eisert, John P. Preskill · 2021 · Quantum Information and Measurement (QIM)
  10. Phase Diffusion Mitigation in the Truncated Mach–Zehnder Interferometer
    Quan Liao, Hongmei Ma, L. Q. Chen, Weiping Zhang, Chun-Hua Yuan · 2024 · Symmetry
  11. Encrypted quantum correlations: delayed choice of quantum statistics and other applications
    Manuel Gessner, Augusto Smerzi · 2019 · EPJ Quantum Technology
  12. Ancilla-assisted frequency estimation under phase covariant noises with Greenberger–Horne–Zeilinger states
    Rui-Jie Cai, Wei Zhong, Lan Zhou, Yu‐Bo Sheng · 2020 · Quantum Information Processing
  13. Signal detection using biphotons and potential application in axion-like particle search
    Le Phuong Hoang, Binh Xuan Cao · 2020 · Nuclear Physics B
  14. Erratum: Correspondence: Enhancing a phase measurement by sequentially probing a solid-state system
    Paul A. Knott, William J. Munro, Jacob Dunningham · 2016 · Nature Communications
  15. Quantum Channels and Quantum Operations
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  16. Parameter estimation with limited access to measurements
    Jianning Li, Dianzhen Cui, X. X. Yi · 2024 · Physical Review A
  17. Quantum Parameter Estimation With Graph States In SU(N) Dynamics
    Hong Ge Tao, Rui Huang, Xiaoqing Tan · 2024 · Advanced Quantum Technologies
  18. Recovering optimal precision in quantum sensing with time domain imperfections
    Zi-Shen Li, Xinyue Long, Xiaodong Yang, Dawei Lu, Yuxiang Yang · 2025 · Physical Review A
  19. Bayesian frequency metrology with optimal Ramsey interferometry in optical atomic clocks
    Timm Kielinski, Klemens Hammerer · 2025 · Reports on Progress in Physics
  20. Quantum Fisher information from tensor-network integration of the Lyapunov equation
    Gabriela Wójtowicz, Susana F. Huelga, Marek M. Rams, Martin Bodo Plenio · 2025 · Physical Review A
  21. Entanglement-constrained quantum metrology: Rapid low-entanglement gains and tapered high-level growth
    Debarupa Saha, Ujjwal Sen · 2025 · Physical Review A
  22. Metrology using atoms in an array of double-well potentials
    Danish Ali Hamza, Jan Chwedeńczuk · 2026 · Physical Review A
  23. Precision bounds for characterising quantum measurements
    Aritra Das, Simon K. Yung, Lorcán O. Conlon, Özlem Erkılıç, Angus Walsh, Yong-Su Kim, Ping Koy Lam, Syed M. Assad, Jie Zhao · 2026 · Nature Communications
  24. Optimal quantum precision in noise estimation: Necessity of entanglement
    Shuva Mondal, Priya Ghosh, Ujjwal Sen · 2026 · Physical Review A
  25. Noise-resilient quantum metrology using entangled multi-qubit states: robustness analysis and measurement strategies
    Esraa Mishref, A. S. El-Tawargy, W. A. Ramadan, Mohamed Nawareg · 2026 · Journal of the Korean Physical Society
  26. Virtual purification complements quantum error correction in quantum metrology
    Hyukgun Kwon, Changhun Oh, Youngrong Lim, Hyunseok Jeong, Seung-Woo Lee, Liang Jiang · 2026 · npj Quantum Information
  27. Quantum error correction assisted axion search in CMOS spin qubit arrays
    Xiangjun Tan, Z. M. Wang · 2026 · Physical review. D/Physical review. D.
  28. Vast World of Quantum Advantage
    Hsin-Yuan Huang, Soonwon Choi, Jarrod R. McClean, John P. Preskill · 2026 · Physical Review X
  29. Tráfico mercantil andino, comerciantes indígenas y fiscalización estatal (Tarapacá, norte de Chile 1880-1938)
    Luis Castro Castro · 2014 · Revista de Indias
  30. Quantum Fisher information for unitary parametrization processes governed by arbitrary Lie algebras
    Hongbin Liang, Fei Yao, Xiao-Xing Jing, Yujue Zhou, Xiaoguang Wang · 2018 · Journal of Physics A Mathematical and Theoretical
  31. The Role of Monitoring Time and Detectors Efficiencies in Time-Continuous Quantum Magnetometry
    Francesco Albarelli, Matteo A. C. Rossi, Matteo G. A. Paris, Marco G. Genoni · 2018 · Springer eBooks
  32. Cooperatively enhanced precision of hybrid light-matter sensors
    Artur Niezgoda, Jan Chwedeńczuk, Tomasz Wasak, Francesco Piazza · 2021 · Physical Review A
  33. Algebraic metrology: Nonoptimal but pretty good states and bounds
    Michalis Skotiniotis, Florian Fröwis, Wolfgang Dür, Barbara Kraus · 2015 · Physical Review A
  34. Quantum metrology with a non-linear kicked Mach–Zehnder interferometer
    Sabrina Müller, Daniel Braun · 2022 · Journal of Physics A Mathematical and Theoretical
  35. Quantum illumination strategy for parameter estimation
    L. Davidovich, R. L. de Matos Filho · 2023 · Physical Review A
  36. Resonant weak-value enhancement for solid-state quantum metrology
    Mahadevan Subramanian, Amal Mathew, Bhaskaran Muralidharan · 2023 · Physical Review Applied
  37. Bell Inequalities
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  38. Stronger Uncertainty Relations Based on Wigner-Yanase Skew Information with Refined Sequence
    Zheng Xu, Qiong Guo · 2023 · International Journal of Theoretical Physics
  39. Number of bits returned by a quantum estimation
    Xi Lu, Wojciech Górecki, Chiara Macchiavello, Lorenzo Maccone · 2024 · Physical Review A
  40. Sudden change of interferometric power for X-shape states
    Dian Zhu, Fulin Zhang, Jing‐Ling Chen · 2024 · Chinese Physics B
  41. GHZ state, spin squeezed state, and spin coherent state for frequency estimation under general Gaussian noises
    Qi Chai, Wen Luh Yang · 2024 · Communications in Theoretical Physics
  42. Optimizing lossy state preparation for quantum sensing using Hamiltonian engineering
    Bharath Hebbe Madhusudhana · 2025 · Materials Today Quantum
  43. Prefect Protection of Quantum-Enhanced Metrology from Dephasing Noise*
    Wei Zhong, Yixiao Huang, Xiaoguang Wang · 2017 · Communications in Theoretical Physics
  44. Enhancement of the metrological sensitivity limit through knowledge of the average energy
    Manuel Gessner · 2019 · Physical Review A
  45. Quantum parameter estimation with feedback control
    Liqiang Liu, Haidong Yuan · 2019 · Chinese Control Conference (CCC)
  46. Twisting the noise away
    Luca Pezzè · 2020
  47. The Three-Dimensional Schrödinger Equation
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  48. Phase Transitions in Light-Matter Systems for Quantum Sensing
    Louis Garbe · 2020 · arXiv (Cornell University)
  49. Orbital Angular Momentum
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  50. Near Zero Photon Bioimaging
    Luke Sheneman, Sulaimon Balogun, Jill L. Johnson, Maria Harrison, Andreas E. Vasdekis · 2024 · bioRxiv (Cold Spring Harbor Laboratory)
  51. Scaling Laws for the Sensitivity Enhancement of Non-Gaussian Spin States
    Youcef Baamara, Alice Sinatra, Manuel Gessner · 2021 · Physical Review Letters
  52. Quantum Phase Estimation Algorithm with Gaussian Spin States
    Luca Pezzè, Augusto Smerzi · 2021 · PRX Quantum
  53. Squeezing of nonlinear spin observables by one axis twisting in the presence of decoherence: An analytical study
    Youcef Baamara, Alice Sinatra, Manuel Gessner · 2022 · Comptes Rendus Physique
  54. Kramers–Kronig relations and precision limits in quantum phase estimation
    Ilaria Gianani, Francesco Albarelli, A. Verna, Valeria Cimini, Rafał Demkowicz-Dobrzański, Marco Barbieri · 2021 · Optica
  55. The Quantum Noise Limit for a Specific Measurement
    Michael A. Taylor · 2015 · Springer theses
  56. Heisenberg's Limit Phase Sensitivity in The Presence of Decoherence Channels
    Farzam Nosraty · 2015 · arXiv (Cornell University)
  57. Efficient tools for quantum metrology with decoherence
    Jan Kołodyński, Rafał Demkowicz-Dobrzański · 2013 · The Rochester Conferences on Coherence and Quantum Optics and the Quantum Information and Measurement meeting
  58. Beating the Standard Quantum Limit in Quantum Metrology despite Noise
    Jan Kołodyński · 2015 · Frontiers in Optics
  59. Quantum Algorithms for Atomic Clocks
    MICHAEL J. MULLAN · 2013 · CU Scholar (University of Colorado Boulder)
  60. The Effect of Vacuum Fluctuations on Quantum Metrology for a Uniformly Accelerated Atom
    Yao Jin · 2016 · International Journal of Theoretical Physics
  61. Theoretically exploring the phase precision in a noisy Mach-Zehnder interferometer
    Duan Xie, Chen Haifeng · 2017 · Journal of the Korean Physical Society
  62. Quantum Enhanced Classical Sensor Networks
    Nidhi Simmons, Justin P. Coon, Animesh Datta · 2017 · IEEE Globecom Workshops (GC Wkshps)
  63. R�nyi Quantum Conditional Mutual Information and Parity Quantum Optical Metrology
    Kaushik P. Seshadreesan · 2015
  64. The precision of Mach–Zehnder interferometer in the presence of bit-phase flip
    Duan Xie, Jian Guang Zhao · 2017 · Cluster Computing
  65. Identification and Estimation of Quantum Linear Input-Output Systems
    Levitt, Matthew, Guţă, Mădălin, Kypraios, Theodore · 2017 · Nottingham ePrints (University of Nottingham)
  66. Precision protection through multi-body indirect correlations and the reconstruction of stable probe qubit system
    Yao Jin · 2018 · Quantum Information Processing
  67. Connection of coherence measure and unitary evolutions
    Lei Li, Shu‐Qian Shen, Ming Li, Qing‐Wen Wang · 2019 · Quantum Information Processing
  68. Analysis of quantum information processors using quantum metrology
    Mark J. Kandula, Pieter Kok · 2018 · Physical Review A
  69. Phase Estimation in Linear and Nonlinear Interferometers
    Sushovit Adhikari · 2019
  70. Optimization of Quantum Optical Metrology Systems
    Studer, Nicholas Michael · 2019
  71. Precision of Parameter Estimation in Quantum Metrology
    Chenglong You · 2019
  72. Heisenberg Limit Phase Sensitivity in the Presence of Decoherence Channels
    Farzam Nosraty · 2016 · Communications in Theoretical Physics
  73. Using interaction-based readouts to approach the ultimate limit of detection noise robustness for quantum-enhanced metrology in collective spin systems
    Simon A. Haine, Ruvi Lecamwasam, J. J. Hope · 2019 · Optical and Quantum Sensing and Precision Metrology II
  74. Dissipative Quantum Metrology
    Da-Jian Zhang, Jiangbin Gong · 2019 · arXiv (Cornell University)
  75. Quantum correlation protection through spin self-rephasing in a one-dimensional Bose gas
    Konrad Szymański, Krzysztof Pawłowski · 2020 · Physical Review A
  76. Continuous Measurements for Advanced Quantum Metrology
    Francesco Albarelli, Matteo A. C. Rossi, Dario Tamascelli, Marco G. Genoni · 2019 · Italian Quantum Information Science Conference (IQIS)
  77. Quantum Brownian motion in Bose-Einstein condensates
    Christos Charalambous · 2020
  78. Multi-parameter Optical Metrology: Quantum and Classical
    Walker D. Larson · 2020 · Journal of International Crisis and Risk Communication Research
  79. Robustness of Imperfect Initialization in Quantum Parameter Estimation
    Liying Bao, Bo Qi · 2020 · Chinese Control Conference (CCC)
  80. Uncertainty relations with variances and the quantum Fisher information based on convex decompositions of density matrices
    Géza Tóth, Florian Fröwis · 2021 · arXiv (Cornell University)
  81. Introduction
    Michael A. Taylor · 2015 · Springer theses
  82. Limits on Parameter Estimation of Quantum Channels
    Vishal Katariya · 2021
  83. Report on 2205.02429v1
    2022 · SciPost Physics
  84. Report on 2205.02429v1
    2022 · SciPost Physics
  85. Report on 2205.02429v1
    2022 · SciPost Physics
  86. Quantum Fisher information matrix for the two-axis twisting model at thermal equilibrium
    Mona Aldhuwayhi, Nour Zidan, Abeer Alhashash, Atta Ur Rahman · 2022 · Modern Physics Letters A
  87. Copyright Page
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  88. Hidden-Variable Theories
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  89. Dedication
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  90. Quantum Teleportation
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  91. Particle Physics—Bell Inequalities
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  92. Entropy of Classical Systems
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  93. Density Matrices
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  94. Quantum States of Light
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  95. Preface
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  96. The Time-Independent Schrödinger Equation
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  97. Quantum Measurements
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  98. Mathematical Formalism of Quantum Mechanics
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  99. Open Quantum Systems, Decoherence, Atom-Field Coupling
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks
  100. The Time-Dependent Schrödinger Equation
    Reinhold A. Bertlmann, Nicolai Friis · 2023 · Oxford University Press eBooks