Quantifying dynamical coherence with coherence measures

• URL: http://arxiv.org/abs/2104.00003v3
• Date: Sat, 3 Jul 2021 02:40:51 GMT
• Title: Quantifying dynamical coherence with coherence measures
• Abstract summary: Quantum coherence, like entanglement, is a fundamental resource in quantum information. It is difficult to define incoherent operations directly, without requiring incoherent states. We introduce an alternate definition of incoherent operations, induced via coherence measures, and quantify dynamical coherence.
• Score: 2.446672595462589
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Quantum coherence, like entanglement, is a fundamental resource in quantum information. In recent years, remarkable progress has been made in formulating resource theory of coherence from a broader perspective. The notions of block-coherence and POVM-based coherence have been established. Certain challenges, however, remain to be addressed. It is difficult to define incoherent operations directly, without requiring incoherent states, which proves a major obstacle in establishing the resource theory of dynamical coherence. In this paper, we overcome this limitation by introducing an alternate definition of incoherent operations, induced via coherence measures, and quantify dynamical coherence based on this definition. Finally, we apply our proposed definition to quantify POVM-based dynamical coherence.

Related papers

• How Hard Does It Think? Analyzing Step-Aware Reasoning Energy in LLM Chain-of-Thought Trajectories [51.16651846289446]
  We propose Step-Aware Reasoning Energy (SARE), a geometric framework that quantifies effort at the granularity of individual CoT steps.<n>We find that reasoning energy is highly non-uniform across step types, exhibiting phase-like transitions invisible to trajectory-level metrics.<n>SARE-based features match or outperform output-based confidence baselines in most settings.
  arXiv  Detail & Related papers  (2026-07-28T06:15:51Z)
• Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion [6.859291682373523]
  We partition coherence into distinct imaginarity and residual components, thereby revealing a universal hierarchical relationship among these resources.<n>For bipartite systems, this decomposition provides explicit bounds on the extent to which nonlocal correlations and imaginarity limit local coherence generation.<n>We devise an explicit operational protocol that converts imaginarity into usable coherence, demonstrating the direct interconvertibility of these resources.
  arXiv  Detail & Related papers  (2026-07-16T00:05:02Z)
• Basis-Independent Coherence Dynamics of Tripartite States under Pure Dephasing [0.0]
  We study basis-independent quantum coherence for several representative tripartite pure and mixed states.<n>Non-Markovian environments give rise to nearly frozen coherence dynamics for both pure and mixed states.<n>Results provide new insights into the preservation of intrinsic multipartite coherence in open quantum systems.
  arXiv  Detail & Related papers  (2026-07-15T07:05:41Z)
• Hysteretic squashed entanglement in many-body quantum systems [42.085941481155295]
  Entanglement in many-body quantum systems is distributed across spatial regions.<n>We propose hysteretic entanglement $T_sq$, a conditional entanglement that measures the genuine quantum correlations between two subregions.<n>We show that $T_sq$ can detect genuine quantum correlations across both adjacent and long-range subsystems.
  arXiv  Detail & Related papers  (2026-03-10T17:00:49Z)
• From Chaos to Order: The Atomic Reasoner Framework for Fine-grained Reasoning in Large Language Models [46.02816479205161]
  We present textbfAtomic Reasoner (textbfAR), a cognitive inference strategy that enables fine-grained reasoning. AR decomposes the reasoning process into atomic cognitive units, employing a cognitive routing mechanism. Results show AR's superior reasoning capabilities without the computational burden of exhaustive solution searches.
  arXiv  Detail & Related papers  (2025-03-20T08:34:53Z)
• Rich-Observation Reinforcement Learning with Continuous Latent Dynamics [43.84391209459658]
  We introduce a new theoretical framework, RichCLD (Rich-Observation RL with Continuous Latent Dynamics), in which the agent performs control based on high-dimensional observations. Our main contribution is a new algorithm for this setting that is provably statistically and computationally efficient.
  arXiv  Detail & Related papers  (2024-05-29T17:02:49Z)
• Experimental verification of a coherence factorization law for quantum states [11.643116123945891]
  We propose a coherence factorization law, which describes the evolution of coherence passing through any noisy channels. Our work is a step toward the understanding of the evolution of coherence when the system interacts with the environment.
  arXiv  Detail & Related papers  (2023-07-17T13:07:05Z)
• Bounds on positive operator-valued measure based coherence of superposition [4.536603451832357]
  POVM-based coherence measures have been proposed with respect to the relative entropy of coherence. We derive analytically the lower and upper bounds on these POVM-based coherence of an arbitrary given superposed pure state. Our results can be used to estimate range of quantum coherence of superposed states.
  arXiv  Detail & Related papers  (2023-05-11T10:31:04Z)
• Unifying different notions of quantum incompatibility into a strict hierarchy of resource theories of communication [60.18814584837969]
  We introduce the notion of q-compatibility, which unifies different notions of POVMs, channels, and instruments incompatibility. We are able to pinpoint exactly what each notion of incompatibility consists of, in terms of information-theoretic resources.
  arXiv  Detail & Related papers  (2022-11-16T21:33:31Z)
• A Quantum Optimal Control Problem with State Constrained Preserving Coherence [68.8204255655161]
  We consider a three-level $Lambda$-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We formulate the quantum optimal control problem with state constraints where the decoherence level remains within a pre-defined bound.
  arXiv  Detail & Related papers  (2022-03-24T21:31:34Z)
• Quantum Dynamical Resource Theory under Resource Non-increasing Framework [0.0]
  We show that maximally incoherent operations (MIO) and incoherent operations (IO) in the static coherence resource theory are free in the sense of dynamical coherence. We also present convenient measures and give the analytic calculation for the amplitude damping channel.
  arXiv  Detail & Related papers  (2022-03-13T04:19:01Z)
• From geometry to coherent dissipative dynamics in quantum mechanics [68.8204255655161]
  We work out the case of finite-level systems, for which it is shown by means of the corresponding contact master equation. We describe quantum decays in a 2-level system as coherent and continuous processes.
  arXiv  Detail & Related papers  (2021-07-29T18:27:38Z)
• Quantum Causal Inference in the Presence of Hidden Common Causes: an Entropic Approach [34.77250498401055]
  We put forth a new theoretical framework for merging quantum information science and causal inference by exploiting entropic principles. We apply our proposed framework to an experimentally relevant scenario of identifying message senders on quantum noisy links. This approach can lay the foundations of identifying originators of malicious activity on future multi-node quantum networks.
  arXiv  Detail & Related papers  (2021-04-24T22:45:50Z)
• Self-adjointness in Quantum Mechanics: a pedagogical path [77.34726150561087]
  This paper aims to make quantum observables emerge as necessarily self-adjoint, and not merely hermitian operators. Next to the central core of our line of reasoning, the necessity of a non-trivial declaration of a domain to associate with the formal action of an observable.
  arXiv  Detail & Related papers  (2020-12-28T21:19:33Z)
• Converting coherence based on positive-operator-valued measures into entanglement [2.624902795082451]
  Quantum coherence is the basic ingredient in many quantum information tasks. We show that the block coherence can be transformed into entanglement via a block incoherent operation.
  arXiv  Detail & Related papers  (2020-10-31T09:16:26Z)
• Coordinated Online Learning for Multi-Agent Systems with Coupled Constraints and Perturbed Utility Observations [91.02019381927236]
  We introduce a novel method to steer the agents toward a stable population state, fulfilling the given resource constraints. The proposed method is a decentralized resource pricing method based on the resource loads resulting from the augmentation of the game's Lagrangian.
  arXiv  Detail & Related papers  (2020-10-21T10:11:17Z)
• Learning Implicit Credit Assignment for Cooperative Multi-Agent Reinforcement Learning [31.147638213056872]
  We present a multi-agent actor-critic method that aims to implicitly address the credit assignment problem under fully cooperative settings. Our key motivation is that credit assignment among agents may not require an explicit formulation as long as the policy gradients from a centralized critic carry sufficient information for the decentralized agents to maximize their joint action value. Our algorithm, referred to as LICA, is evaluated on several benchmarks including the multi-agent particle environments and a set of challenging Star II micromanagement tasks.
  arXiv  Detail & Related papers  (2020-07-06T05:25:02Z)
• Quantifying dynamical coherence with dynamical entanglement [1.6114012813668934]
  We show that the coherence of an operation upper bounds the dynamical entanglement that can be generated from it with the help of additional incoherent operations. An analog to the entanglement potential exists on the level of operations and serves as a valid quantifier for dynamical coherence.
  arXiv  Detail & Related papers  (2020-04-09T13:45:17Z)
• Direct estimation of quantum coherence by collective measurements [54.97898890263183]
  We introduce a collective measurement scheme for estimating the amount of coherence in quantum states. Our scheme outperforms other estimation methods based on tomography or adaptive measurements. We show that our method is accessible with today's technology by implementing it experimentally with photons.
  arXiv  Detail & Related papers  (2020-01-06T03:50:42Z)

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.