Quantum Speed Limit and Quantum Thermodynamic Uncertainty Relation under Feedback Control

• URL: http://arxiv.org/abs/2502.09081v2
• Date: Fri, 25 Apr 2025 08:44:40 GMT
• Title: Quantum Speed Limit and Quantum Thermodynamic Uncertainty Relation under Feedback Control
• Authors: Hayato Yunoki, Yoshihiko Hasegawa,
• Abstract summary: There are two fundamental inequalities that describe trade-off relations in quantum mechanics.<n>We derive these inequalities based on the continuous matrix product state method.<n>We analytically derive the exact form of quantum dynamical activity under feedback control.
• Score: 1.6574413179773757
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum feedback control is a technique for controlling quantum dynamics by applying control inputs to the quantum system based on the results of measurements performed on the system. It is an important technique from both an applied and a fundamental theoretical point of view. There are two fundamental inequalities that describe trade-off relations in quantum mechanics, namely, the quantum speed limit and the quantum thermodynamic uncertainty relation. They characterize the operational limit of non-equilibrium quantum systems, making them essential for controlling such systems. Therefore, it is meaningful to formulate these trade-off relations within the framework of quantum feedback control. In this paper, we derive these inequalities based on the continuous matrix product state method. Additionally, we analytically derive the exact form of quantum dynamical activity under feedback control, which serves as the cost term in these inequalities. Specifically, we focus on the cases of Markovian feedback, i.e., the direct feedback of continuous measurement results. Our numerical analysis reveals that the presence of feedback control can improve the quantum speed limit time and the quality of continuous measurements. Furthermore, the relationship with quantum error correction, an important application of quantum feedback control, is discussed using numerical simulations. Thus, our work clarifies how feedback control affects these important trade-off relationships in quantum mechanics.

Related papers

• Fundamental constraints on quantum fluctuations: Conservation laws, reality, and no-signaling [0.0]
  Quantum fluctuations affect computing, sensing, cryptography, and thermodynamics. Despite the precise rules quantum mechanics provides for measuring observables at single points in time, no standard framework exists for characterizing the fluctuations of their variations over time. We propose four basic criteria that any consistent measurement of these variations must satisfy, grounded in conservation laws, the no-signaling principle, and expected constraints on physical realism. This result enables the extension of key quantum information concepts, such as entanglement, steering, and Bell's inequalities, to processes rather than instantaneous observables.
  arXiv  Detail & Related papers  (2025-02-18T14:48:21Z)
• Effect of the readout efficiency of quantum measurement on the system entanglement [44.99833362998488]
  We quantify the entanglement for a particle on a 1d quantum random walk under inefficient monitoring. We find that the system's maximal mean entanglement at the measurement-induced quantum-to-classical crossover is in different ways by the measurement strength and inefficiency.
  arXiv  Detail & Related papers  (2024-02-29T18:10:05Z)
• Quantum error mitigation for Fourier moment computation [49.1574468325115]
  This paper focuses on the computation of Fourier moments within the context of a nuclear effective field theory on superconducting quantum hardware. The study integrates echo verification and noise renormalization into Hadamard tests using control reversal gates. The analysis, conducted using noise models, reveals a significant reduction in noise strength by two orders of magnitude.
  arXiv  Detail & Related papers  (2024-01-23T19:10:24Z)
• Quantum steering ellipsoids and quantum obesity in critical systems [0.0]
  Quantum obesity (QO) is new function used to quantify quantum correlations beyond entanglement. We show that QO is a fundamental quantity to observe signature of quantum phase transitions.
  arXiv  Detail & Related papers  (2023-12-19T19:14:08Z)
• Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
  We explore the applicability of quantum-data learning to practical problems in high-energy physics. We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states. The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
  arXiv  Detail & Related papers  (2023-06-29T18:00:01Z)
• Unraveling the Mystery of Quantum Measurement with A New Space-Time Approach to Relativistic Quantum Mechanics [9.116661570248171]
  Quantum measurement is a fundamental concept in the field of quantum mechanics. Despite its significance, four fundamental issues continue to pose significant challenges to the broader application of quantum measurement. We employ a new space-time approach to relativistic quantum mechanics to address these issues systematically.
  arXiv  Detail & Related papers  (2023-06-01T13:25:08Z)
• Universality of critical dynamics with finite entanglement [68.8204255655161]
  We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement. Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
  arXiv  Detail & Related papers  (2023-01-23T19:23:54Z)
• Engineered Dissipation for Quantum Information Science [0.0]
  Dissipation is an essential tool for manipulating quantum information. Dissipation engineering enables quantum measurement, quantum state preparation, and quantum state stabilization.
  arXiv  Detail & Related papers  (2022-02-10T19:00:01Z)
• Efficient criteria of quantumness for a large system of qubits [58.720142291102135]
  We discuss the dimensionless combinations of basic parameters of large, partially quantum coherent systems. Based on analytical and numerical calculations, we suggest one such number for a system of qubits undergoing adiabatic evolution.
  arXiv  Detail & Related papers  (2021-08-30T23:50:05Z)
• The Transition from Quantum to Classical in weak measurements and reconstruction of Quantum Correlation [0.0]
  We show that the relation between the readout signal of a single electron spin and the quantum dynamics of the single nuclear spin is given by a parameter related to the measurement strength. We prove the validity of our approach by measuring violations of the Leggett-Garg inequality.
  arXiv  Detail & Related papers  (2021-04-09T17:46:55Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)
• Direct Quantum Communications in the Presence of Realistic Noisy Entanglement [69.25543534545538]
  We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement. Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
  arXiv  Detail & Related papers  (2020-12-22T13:06:12Z)
• Continuous measurements for control of superconducting quantum circuits [0.0]
  We introduce the concept of quantum feedback in the context of circuit QED. We discuss several experiments and see how they elucidate the concepts of continuous measurements and feedback. We conclude with an overview of coherent feedback, with application to fault-tolerant error correction.
  arXiv  Detail & Related papers  (2020-09-15T18:00:18Z)
• Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
  dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states. Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
  arXiv  Detail & Related papers  (2020-07-23T19:05:56Z)

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.