Dynamical Characterization of Quantum Coherence

• URL: http://arxiv.org/abs/2407.11568v2
• Date: Mon, 12 Aug 2024 01:58:25 GMT
• Title: Dynamical Characterization of Quantum Coherence
• Authors: Hai Wang,
• Abstract summary: We show that for time-independent Hamiltonians, quantum coherence is the average evolution speed and vice versa. Our results definitely clarify the role coherence playing in quantum systems' dynamics, correlating quantum resources with quantum dynamics.
• Score: 2.7624036517702577
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum coherence, rooted in the superposition nature of quantum mechanics, is one core quantum resource in quantum technologies. Until now, various measures, operational interpretations and generalizations about coherence have been proposed. However, it is still not clear about the role coherence playing in quantum dynamics. In this work, in terms of unitary evolutions, the effect of coherence is fully exhibited. Firstly, by introducing the new concept, average quantum distance, we show that for time-independent Hamiltonians, quantum coherence is the average evolution speed and vice versa. Secondly, beyond this average setting, for general cases, we show that how coherence and Hamiltonians' eigenvalues determine the instantaneous evolution speed together, where their trade-off is actually the energy uncertainty. Our results definitely clarify the role coherence playing in quantum systems' dynamics, correlating quantum resources with quantum dynamics.

Related papers

• Expressibility, entangling power and quantum average causal effect for causally indefinite circuits [37.69303106863453]
  We implement parameterized quantum circuits with definite and indefinite causal order. One of these is the expressibility, which measures how uniformly a given quantum circuit can reach the whole Hilbert space. We find a correlation between the quantum average causal effect and the entangling power.
  arXiv  Detail & Related papers  (2024-11-13T13:53:02Z)
• Quantum Speed Limit in Terms of Coherence Variations [0.0]
  We present an attainable quantum speed limit based on the variation of quantum coherence. As applications, we study the coherence quantum speed limits of the dephasing and dissipative dynamics.
  arXiv  Detail & Related papers  (2024-10-11T04:30:56Z)
• Quantum coarsening and collective dynamics on a programmable quantum simulator [27.84599956781646]
  We experimentally study collective dynamics across a (2+1)D Ising quantum phase transition. By deterministically preparing and following the evolution of ordered domains, we show that the coarsening is driven by the curvature of domain boundaries. We quantitatively explore these phenomena and further observe long-lived oscillations of the order parameter, corresponding to an amplitude (Higgs) mode.
  arXiv  Detail & Related papers  (2024-07-03T16:29:12Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Evolution of Quantum Resources in Quantum-walk-based Search Algorithm [3.604186493583444]
  We consider the effects of quantum coherence and quantum entanglement for the quantum walk search on the complete bipartite graph. First, we numerically show the complementary relationship between the success probability and the two quantum resources. At last, we discuss the role played by generalized depolarizing noises and find that it would influence the dynamics of success probability and quantum coherence sharply.
  arXiv  Detail & Related papers  (2023-09-30T12:16:28Z)
• 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)
• The singularities of the rate function of quantum coherent work in one-dimensional transverse field Ising model [0.0]
  We specialize our discussions to the one-dimensional transverse field quantum Ising model in the coherent Gibbs state. We find that quantum coherence not only recovers the quantum phase transition destroyed by thermal fluctuations. It can be manifested that these singularities are rooted in spin flips causing the sudden change of the domain boundaries of spin polarization.
  arXiv  Detail & Related papers  (2023-03-15T03:17:23Z)
• An Overview: Steady-State Quantum Entanglement via Reservoir Engineering [0.0]
  In addition to the focus on quantum entanglement stabilization, we briefly discuss the same objective for steady-state quantum coherence. The overview classifies the approaches into two main categories: hybrid drive and dissipation methods and purely dissipative schemes.
  arXiv  Detail & Related papers  (2023-03-01T13:26:05Z)
• 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)
• System-environment dynamics of GHZ-like states in noninertial frames [14.401323451758975]
  Quantum coherence, quantum entanglement and quantum nonlocality are important resources in quantum information precessing. We study the dynamical evolution of the three-qubit GHZ-like states in non-inertial frame when one and/or two qubits undergo decoherence.
  arXiv  Detail & Related papers  (2022-12-30T03:36:48Z)
• Quantum Instability [30.674987397533997]
  We show how a time-independent, finite-dimensional quantum system can give rise to a linear instability corresponding to that in the classical system. An unstable quantum system has a richer spectrum and a much longer recurrence time than a stable quantum system.
  arXiv  Detail & Related papers  (2022-08-05T19:53:46Z)
• Quantum correlations in molecules: from quantum resourcing to chemical bonding [0.0]
  The second quantum revolution is all about exploiting the quantum nature of atoms and molecules to execute quantum information processing tasks. This work establishes a toolbox for systematically exploring, quantifying and dissecting correlation effects in quantum chemical systems. By utilizing the geometric picture of quantum states we compare -- on a unified basis and in an operationally meaningful way -- total, quantum and classical correlation and entanglement in molecular ground states.
  arXiv  Detail & Related papers  (2022-05-31T15:30:52Z)
• 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)
• Quantum Data Compression and Quantum Cross Entropy [0.0]
  We show that quantum cross entropy acts as the compression rate for sub-optimal quantum source coding. This reveals that quantum cross entropy can effectively serve as a loss function in quantum machine learning algorithms.
  arXiv  Detail & Related papers  (2021-06-25T18:00:33Z)
• Preparing random states and benchmarking with many-body quantum chaos [48.044162981804526]
  We show how to predict and experimentally observe the emergence of random state ensembles naturally under time-independent Hamiltonian dynamics. The observed random ensembles emerge from projective measurements and are intimately linked to universal correlations built up between subsystems of a larger quantum system. Our work has implications for understanding randomness in quantum dynamics, and enables applications of this concept in a wider context.
  arXiv  Detail & Related papers  (2021-03-05T08:32:43Z)
• Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
  Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems. We propose an algorithm to implement imaginary time propagation on a quantum computer.
  arXiv  Detail & Related papers  (2021-02-24T12:48:00Z)
• 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)
• Experimental Validation of Fully Quantum Fluctuation Theorems Using Dynamic Bayesian Networks [48.7576911714538]
  Fluctuation theorems are fundamental extensions of the second law of thermodynamics for small systems. We experimentally verify detailed and integral fully quantum fluctuation theorems for heat exchange using two quantum-correlated thermal spins-1/2 in a nuclear magnetic resonance setup.
  arXiv  Detail & Related papers  (2020-12-11T12:55:17Z)

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.