A unitarity bound on the evolution of nonstationary states

Fleming, G. N.·1973·Il Nuovo Cimento A
DOI 10.1007/bf02819419

Cited by (218)

Items 101–200 of 218

  1. Quantum speed limit and geometric measure of entanglement
    Łukasz Rudnicki · 2021 · Physical Review A
  2. Time delays and advances in classical and quantum systems
    Evgeni E. Kolomeitsev, D N Voskresensky · 2013 · Journal of Physics G Nuclear and Particle Physics
  3. The classic paradoxes of quantum theory
    Asher Peres · 1984 · Foundations of Physics
  4. Taming Quantum Systems: A Tutorial for Using Shortcuts-To-Adiabaticity, Quantum Optimal Control, and Reinforcement Learning
    Callum W. Duncan, Pablo M. Poggi, Marin Bukov, Nikolaj Thomas Zinner, Steve Campbell · 2025 · PRX Quantum
  5. Exact zeros of the Loschmidt echo and quantum speed limit time for the dynamical quantum phase transition in finite-size systems
    Bozhen Zhou, Yumeng Zeng, Shu Chen · 2021 · Physical review. B./Physical review. B
  6. Jump Time and Passage Time: The Duration ofs a Quantum Transition
    Lawrence S. Schulman · 2007 · Springer eBooks
  7. Quantum speed limit based on the bound of Bures angle
    Shao-xiong Wu, Chang-shui Yu · 2020 · Scientific Reports
  8. Identification of the Keldysh time as a lower limit for the tunneling time
    Gianfranco Orlando, Chris McDonald, Nakib H. Protik, Thomas Brabec · 2014 · Physical Review A
  9. Signatures of chaos and thermalization in the dynamics of many-body quantum systems
    Eduardo Jonathan Torres-Herrera, Léa Ferreira dos Santos · 2019 · The European Physical Journal Special Topics
  10. Deviations from exponential decay in quantum mechanics
    K.J.F. Gaemers, T.D. Visser · 1988 · Physica A Statistical Mechanics and its Applications
  11. On proton decay
    Luciano Fonda, G. C. Ghirardi, T. Weber · 1983 · Physics Letters B
  12. Time-of-arrival probabilities and quantum measurements: III Decay of unstable states
    Charis Anastopoulos, Ntina Savvidou · 1989
  13. Quantum speed limit for a central system in Lipkin-Meshkov-Glick bath
    Hou, Lu, Shao, Bin, Zou, Jian · 2016 · The European Physical Journal D
  14. Tight and attainable quantum speed limit for open systems
    Zi-yi Mai, Chang‐shui Yu · 2023 · Physical Review A
  15. Quantum speed limit for a relativistic electron in the noncommutative phase space
    Kang Wang, Yu-Fei Zhang, Qing Wang, Zheng-Wen Long, Jian Jing · 2017 · International Journal of Modern Physics A
  16. Time-of-arrival probabilities and quantum measurements. III. Decay of unstable states
    Charis Anastopoulos · 2008 · Journal of Mathematical Physics
  17. Quantum speedup of uncoupled multiqubit open system via dynamical decoupling pulses
    Song, Ya-Ju, Kuang, Le-Man, Tan, Qing-Shou · 2016 · Quantum Information Processing
  18. Quantum speed limit of the evolution of the qubits in a finite XY spin chain
    Lu Hou, Bin Shao, Yong-Bo Wei, Jian Zou · 2017 · The European Physical Journal D
  19. Exponential Behavior of a Quantum System in a Macroscopic Medium
    Hiromichi Nakazato, Mikio Namiki, Saverio Pascazio · 1994 · Physical Review Letters
  20. A Critical Discussion on the Decay of Quantum Unstable Systems
    Luciano Fonda · 1977 · Fortschritte der Physik
  21. Quantum speed limit in a qubit-spin-bath system
    Lu Hou, Bin Shao, Yong-Bo Wei, Jian Zou · 2015 · Journal of Physics A Mathematical and Theoretical
  22. Speed limit for open systems coupled to general environments
    Naoto Shiraishi, Keiji Saito · 2021 · Physical Review Research
  23. Speedup of quantum evolution of multiqubit entanglement states
    Ying-Jie Zhang, Wei Han, Yun‐Jie Xia, Jianxiang Tian, Heng Fan · 2016 · Scientific Reports
  24. Unstable Systems in Generalized Quantum Theory
    E. C. G. Sudarshan, Charles B. Chiu, G. Bhamathi · 1996 · Advances in chemical physics
  25. Survival Probability of the Néel State in Clean and Disordered Systems: An Overview
    E. J. Torres-Herrera, Marco Távora, Lea F. Santos · 2015 · Brazilian Journal of Physics
  26. Quantum brachistochrone
    Tatsuhiko Koike · 2022 · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences
  27. ANALYSIS OF LOWER BOUNDS FOR QUANTUM CONTROL TIMES AND THEIR RELATION TO THE QUANTUM SPEED LIMIT
    Pablo M. Poggi · 2020 · Anales/Anales AFA
  28. Survival Probability of the Neel State in Clean and Disordered Systems: An Overview
    Eduardo Jonathan Torres-Herrera, Marco Távora, Léa Ferreira dos Santos · 2016 · Redalyc (Universidad Autónoma del Estado de México)
  29. A class of time-energy uncertainty relations for time-dependent Hamiltonians
    Tien D. Kieu · 2019 · Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences
  30. Self-averaging in many-body quantum systems out of equilibrium: Time dependence of distributions
    Eduardo Jonathan Torres-Herrera, Isaías Vallejo-Fabila, A. J. Martínez-Mendoza, Léa Ferreira dos Santos · 2020 · Physical review. E
  31. Conservation-Law-Based Global Bounds to Quantum Optimal Control
    Hanwen Zhang, Zeyu Kuang, Shruti Puri, Owen D. Miller · 2021 · Physical Review Letters
  32. Singularity of the time-energy uncertainty in adiabatic perturbation and cycloids on a Bloch sphere
    Sangchul Oh, Xuedong Hu, Franco Nori, Sabre Kais · 2016 · Scientific Reports
  33. Dynamical decoupling assisted acceleration of two-spin evolution in XY spin-chain environment
    Yong-Bo Wei, Jian Zou, Zhao-Ming Wang, Bin Shao, Hai Li · 2015 · Physics Letters A
  34. Non-exponential decay and the effective proton lifetime
    F. Miglietta, A. Rimini · 1984 · Physics Letters B
  35. Distribution of quantum entanglement : principles and applications
    I Wayan Gede Tanjung Krisnanda · 2020
  36. Continuous Monitoring of Quantum Systems
    Asher Peres · 1987 · Springer eBooks
  37. Testing the unified bounds of the quantum speed limit
    Yaozu Wu, Jiale Yuan, Chuanyu Zhang, Zitian Zhu, Jinfeng Deng, Xu Zhang, Pengfei Zhang, Qiujiang Guo, Zhen Wang, Jie‐Hui Huang et al. · 2024 · Physical Review A
  38. Formal aspects of quantum decay
    David Fernández Jiménez, N. G. Kelkar · 2021 · Physical Review A
  39. Quantum-classical correspondence of strongly chaotic many-body spin models
    Luis Benet, F. Borgonovi, Felix M. Izrailev, Léa Ferreira dos Santos · 2023 · Physical review. B./Physical review. B
  40. Estimating the time evolution of NMR systems via a quantum-speed-limit–like expression
    David Velasco Villamizar, Eduardo I. Duzzioni, Adriane Consuelo Leal Auccaise, R. Auccaise · 2018 · Physical Review A
  41. Classical and quantum speed limits
    Katarzyna Bolonek-Lasoń, Joanna Gonera, Piotr Kosiński · 2021 · Quantum
  42. Quantum velocity limits for multiple observables: Conservation laws, correlations, and macroscopic systems
    Ryusuke Hamazaki · 2024 · Physical Review Research
  43. Quantum lower and upper speed limits using reference evolutions
    Kazutaka Takahashi · 2022 · New Journal of Physics
  44. Enhancement of quantum speed limit time due to cooperative effects in multilevel systems
    Pablo M. Poggi, Fernando C. Lombardo, Diego A. Wisniacki · 2015 · Journal of Physics A Mathematical and Theoretical
  45. Possible Consequences of the Zeno Effect on the Transition Probability of the 21 cm Line of Hydrogen
    Jacob Levitan, Lawrence Paul Horwitz, Yoel Rephaeli · 1987 · Europhysics Letters (EPL)
  46. Time-optimal control fields for quantum systems with multiple avoided crossings
    Pablo M. Poggi, Fernando C. Lombardo, Diego A. Wisniacki · 2015 · Physical Review A
  47. Quantum speedup in noninertial frames
    Kai Dong Xu, Han‐Jie Zhu, Guo‐Feng Zhang, Jieci Wang, Wu‐Ming Liu · 2020 · The European Physical Journal C
  48. Quantum speed limit with forbidden speed intervals
    H. F. Chau · 2013 · Physical Review A
  49. Quantum speed limits for Bell-diagonal states
    Wei Han, Ke-Xia Jiang, Ying-Jie Zhang, Yun‐Jie Xia · 2015 · Chinese Physics B
  50. Jump Time and Passage Time: The Duration of a Quantum Transition
    Lawrence S. Schulman · 2007 · Springer eBooks
  51. A note on the uncertainty relation between the position and momentum
    Yu, Ting · 1996 · Physics Letters A
  52. Closed systems refuting quantum-speed-limit hypotheses
    Niklas Hörnedal, Ole Sönnerborn · 2023 · Physical Review A
  53. Analytic Results for Gaussian Wave Packets in Four Model Systems: II. Autocorrelation Functions
    R. W. Robinett, L. C. Bassett · 2004 · Foundations of Physics Letters
  54. A general formulation of time-optimal quantum control and optimality of singular protocols
    Hiroaki Wakamura, Tatsuhiko Koike · 2020 · New Journal of Physics
  55. On quantum revivals and quantum fidelity. A semiclassical approach
    Monique Combescure · 2005 · Journal of Physics A Mathematical and General
  56. Some inequalities for the trieste theory of unstable-particle decay
    Gordon N. Fleming · 1978 · Nuovo cimento della Società italiana di fisica. A, Nuclei, particles and fields
  57. Margolus–Levitin speed limit across quantum to classical regimes based on trace distance*
    Shao-Xiong Wu, Chang-Shui Yu · 2020 · Chinese Physics B
  58. Bounds on the breaking time for entanglement-breaking channels
    Fattah Sakuldee, Łukasz Rudnicki · 2023 · Physical Review A
  59. Quantum speed limit and stability of coherent states in quantum gravity
    Klaus Liegener, Łukasz Rudnicki · 2022 · Classical and Quantum Gravity
  60. Fast Functionalization with High Performance in the Autonomous Information Engine
    Zhiyu Cao, Ruicheng Bao, Jiming Zheng, Zhonghuai Hou · 2022 · The Journal of Physical Chemistry Letters
  61. A new route toward orthogonality
    Andrea Valds-Hernández, Francisco J. Sevilla · 2020 · Journal of Physics A Mathematical and Theoretical
  62. Generalized Survival Probability
    David A. Zarate-Herrada, Léa Ferreira dos Santos, Eduardo Jonathan Torres-Herrera · 2023 · Entropy
  63. Coherent-driving-assisted quantum speedup in Markovian channels*
    Xiang Lu, Yingjie Zhang, Yun‐Jie Xia · 2020 · Chinese Physics B
  64. Tight lower bounds on the time it takes to generate a geometric phase
    Niklas Hörnedal, Ole Sönnerborn · 2023 · Physica Scripta
  65. Quantum speed limit in the thermal spin-boson system with and without tunneling term
    Sh. Dehdashti, Firat Yasar, M. Bagheri Harouni, Ali Mahdifar, Behrouz Mirza · 2020 · Quantum Information Processing
  66. Quantum acceleration by an ancillary system in non-Markovian environments
    Jinna Fan, Shao-xiong Wu, Chang‐shui Yu · 2021 · Quantum Information Processing
  67. Quantum speed limit for the maximum coherent state under the squeezed environment*
    Kang-Ying Du, Ya-Jie Ma, Shao-xiong Wu, Chang‐shui Yu · 2021 · Chinese Physics B
  68. Spatial quantum Zeno effect
    Shunlong Luo · 2002 · Physica A Statistical Mechanics and its Applications
  69. Interference in the time domain of a decaying particle with itself as the physical mechanism for the exponential-nonexponential transition in quantum decay
    Gastón García‐Calderón, Roberto Romo · 2019 · Physical Review A
  70. Holonomy in Quantum Information Geometry
    Ole Andersson · 2019 · arXiv (Cornell University)
  71. Observation of minimal and maximal speed limits for few and many-body states
    Zitian Zhu, Lei Gao, Zehang Bao, Liang Xiang, Zixuan Song, Shibo Xu, Ke Wang, Jiachen Chen, Feitong Jin, Xuhao Zhu et al. · 2025 · Nature Communications
  72. Family of attainable geometric quantum speed limits
    Zi-yi Mai, Zheng Liu, Chang‐shui Yu · 2025 · Quantum
  73. Quantum Speed Limits for Time Evolution of a System Subspace
    Sergio A Albeverio, Alexander Konstantinovich Motovilov · 2022 · Physics of Particles and Nuclei
  74. Non-Markovian Speedup Dynamics in Markovian and Non-Markovian Channels
    Jing Nie, Ying-Shuang Liang, Biao Wang, Xiu-Yi Yang · 2021 · International Journal of Theoretical Physics
  75. Quantum speed limit of a single atom in a squeezed optical cavity mode
    Ya-Jie Ma, Xue-Chen Gao, Shao-xiong Wu, Chang‐shui Yu · 2023 · Chinese Physics B
  76. Analytic results for Gaussian wave packets in four model systems: II. Autocorrelation functions
    Robinett, R W, Bassett, L C · 2004 · CERN Document Server (European Organization for Nuclear Research)
  77. Possible Consequences of the Zeno Effect on Nuclear Double-Beta Decay and a Bound on m ν
    Jacob Levitan, Lawrence Paul Horwitz · 1989 · Europhysics Letters (EPL)
  78. A universal formulation of uncertainty relation for errors
    Jaeha Lee, Izumi Tsutsui · 2024 · Physics Letters A
  79. Fleming's bound for the decay of mixed states
    Florian Fröwis, Gebhard Grübl, Markus Penz · 2008 · Journal of Physics A Mathematical and Theoretical
  80. Nonstationarity and related measures for time-dependent hartree-fock and multiconfigurational models
    Anatoliy V. Luzanov · 2013 · International Journal of Quantum Chemistry
  81. Zerfallende Zustände als physikalisch nichtisolierbare Teilsysteme
    Gy. I. Szász · 1976 · Fortschritte der Physik
  82. Quantum speedup dynamics process without non-Markovianity
    Ying-Jie Zhang, Xiang Lu, Haifeng Lang, Zhong‐Xiao Man, Yun‐Jie Xia, Heng Fan · 2021 · Quantum Information Processing
  83. Is ergodicity a reasonable hypothesis?
    Bernard Gaveau, Lawrence S. Schulman · 2014 · arXiv (Cornell University)
  84. Quantum speed limit time in two-qubit system by dynamical decoupling method
    Arefeh Aaliray, Hamidreza Mohammadi · 2025 · Scientific Reports
  85. Correlations and energy in mediated dynamics
    Tanjung Krisnanda, Su‐Yong Lee, Changsuk Noh, Jaewan Kim, Alexander Streltsov, T. C. H. Liew, Tomasz Paterek · 2022 · New Journal of Physics
  86. Quantum state driving along arbitrary trajectories
    Le Hu, Andrew N. Jordan · 2023 · Physical Review Research
  87. Observations on unstable quantons, hyperplane dependence and quantum fields
    Gordon N. Fleming · 2011 · Studies in History and Philosophy of Science Part B Studies in History and Philosophy of Modern Physics
  88. Affinity-based geometric discord and quantum speed limits of its creation and decay
    R. Muthuganesan, S. Balakrishnan · 2022 · Physica Scripta
  89. The regeneration of an unstable quantum system
    Jacob Levitan · 1990 · Physics Letters A
  90. Quantum speed limits for an open system in contact with a thermal bath
    N. Il’in, A. Aristova, Oleg Valentinovich Lychkovskiy · 2024 · Physical Review A
  91. Attainable quantum speed limit for N -dimensional quantum systems
    Zi-yi Mai, Chang‐shui Yu · 2025 · Physical Review A
  92. On the orthogonalization of quantum states
    Yong Xiao, Guang Yang · 2013 · Europhysics Letters (EPL)
  93. Quantum Complementarity and Time Dilation
    Magdalena Zych · 2017 · Springer theses
  94. Uncertainty Relation for Errors Focusing on General POVM Measurements with an Example of Two-State Quantum Systems
    Jaeha Lee, Izumi Tsutsui · 2020 · Entropy
  95. Optimal bounds on the speed of subspace evolution*
    Sergio A Albeverio, Alexander Konstantinovich Motovilov · 2022 · Journal of Physics A Mathematical and Theoretical
  96. Energy-time uncertainty relation from entropy measures
    Nana Cabo Bizet, Octavio Obregón, Wilfredo Yupanqui · 2025 · The European Physical Journal Plus
  97. A Time Scale for Quantum Jumps
    Lawrence S. Schulman · 1999 · Journal of Superconductivity
  98. A limit on the variation of bounded positive operators
    Gordon N. Fleming · 1981 · Journal of Mathematical Physics
  99. Uses of a Quantum Master Inequality
    Fleming, Gordon N. · 2001 · arXiv (Cornell University)
  100. On the Reality of the Time State
    İnanç Şahin, Gazi Alumur · 2024 · Preprints.org