Universal Precision Limits in General Open Quantum Systems

• URL: http://arxiv.org/abs/2508.21567v2
• Date: Wed, 08 Oct 2025 04:42:06 GMT
• Title: Universal Precision Limits in General Open Quantum Systems
• Authors: Tan Van Vu, Ryotaro Honma, Keiji Saito,
• Abstract summary: We derive universal bounds on the precision of generic observables in open quantum systems.<n>We show that the relative fluctuation of any time-antisymmetric current is constrained not only by entropy production but also by this asymmetry.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The intuition that the precision of observables is constrained by thermodynamic costs has recently been formalized through thermodynamic and kinetic uncertainty relations. While such trade-offs have been extensively studied in Markovian systems, corresponding constraints in the non-Markovian regime remain largely unexplored. In this Letter, we derive universal bounds on the precision of generic observables in open quantum systems that interact with their environments at arbitrary coupling strengths and are subjected to two-point measurements. By introducing an asymmetry term that quantifies the disparity between forward and backward processes, we show that the relative fluctuation of any time-antisymmetric current is constrained not only by entropy production but also by this asymmetry. For general observables, we further prove that their relative fluctuation is always bounded from below by a generalized activity term that characterizes environmental changes. These results establish a comprehensive framework for understanding the fundamental limits of precision in a broad class of open quantum systems, beyond the traditional Markovian setting.

Related papers

• Phase Transitions without gap closing in monitored quantum mean-field systems [0.0]
  We investigate the monitored dynamics of many-body quantum systems in which projective measurements of extensive operators are alternated with unitary evolution.<n>We uncover novel stationary states, distinct from the conventional infinite-temperature state, that arise upon taking the infinite-volume limit.
  arXiv  Detail & Related papers  (2025-12-03T19:17:48Z)
• Open-system quantum many-body scars: a theory [0.0]
  We introduce a notion of quantum many-body scarring in open quantum systems governed by the Lindblad equation.<n>We dub open-system quantum many-body scars (OSQMBS) besides a typical infinite-temperature state.
  arXiv  Detail & Related papers  (2025-09-22T17:00:26Z)
• Time Symmetry, Retrocausality, and Emergent Collapse: The Tlalpan Interpretation of Quantum Mechanics [51.56484100374058]
  The Tlalpan Interpretation (QTI) proposes that the wavefunction collapse is not a primitive, axiomatic rule but an emergent phenomenon.<n>The novelty of QTI lies in its embedding of collapse within the conceptual language of critical phenomena in statistical physics.
  arXiv  Detail & Related papers  (2025-08-25T20:30:56Z)
• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Fundamental bounds on precision and response for quantum trajectory observables [0.0]
  We show that quantum coherence can enhance precision and violate classical uncertainty relations in quantum systems.<n>We present three key results: (i) a quantum generalization of the uncertainty relation, which bounds the relative fluctuations of currents in terms of entropy production and dynamical activity; (ii) a quantum inverse uncertainty relation, which constrains the relative fluctuations of arbitrary counting observables based on their instantaneous fluctuations and the spectral gap of the symmetrized Liouvillian; and (iii) a quantum response kinetic uncertainty relation, which bounds the response of general observables to kinetic perturbations in terms of dynamical activity.
  arXiv  Detail & Related papers  (2024-11-29T08:45:34Z)
• Precision bounds for multiple currents in open quantum systems [37.69303106863453]
  We derivation quantum TURs and KURs for multiple observables in open quantum systems undergoing Markovian dynamics.<n>Our bounds are tighter than previously derived quantum TURs and KURs for single observables.<n>We also find an intriguing quantum signature of correlations captured by the off-diagonal element of the Fisher information matrix.
  arXiv  Detail & Related papers  (2024-11-13T23:38:24Z)
• Measurement events relative to temporal quantum reference frames [44.99833362998488]
  We compare two consistent approaches to the Page-Wootters formalism to clarify the operational meaning of evolution and measurements.<n>We show that for non-ideal clocks, the purified measurement approach yields a time non-local evolution equation.<n>We argue that these approaches describe operationally distinct situations.
  arXiv  Detail & Related papers  (2023-08-21T18:26:12Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Thermodynamics of Precision in Markovian Open Quantum Dynamics [0.0]
  thermodynamic and kinetic uncertainty relations indicate trade-offs between the relative fluctuation of observables and thermodynamic quantities. We derive finite-time lower bounds on the relative fluctuation of both dynamical observables and their first passage times for arbitrary initial states. We find that the product of the relative fluctuation and entropy production or dynamical activity is enhanced by quantum coherence in a generic class of dissipative processes of systems with nondegenerate energy levels.
  arXiv  Detail & Related papers  (2021-11-08T16:12:03Z)
• Thermodynamic uncertainty relation for general open quantum systems [4.111899441919164]
  We derive a thermodynamic uncertainty relation for general open quantum dynamics. We apply our relation to continuous measurement and the quantum walk to find that the quantum nature of the system can enhance the precision.
  arXiv  Detail & Related papers  (2020-03-19T03:45:03Z)
• Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
  We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations. We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
  arXiv  Detail & Related papers  (2020-03-04T14:01:17Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.