Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations

• URL: http://arxiv.org/abs/2603.09240v1
• Date: Tue, 10 Mar 2026 06:16:13 GMT
• Title: Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations
• Abstract summary: We show that incoherent operations can achieve the state transformations forbidden under dephasing-covariant incoherent operations (DIOs)<n>We show that no set of IO monotones suffices to characterize state convertibility under strictly incoherent operations (SIOs)
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We show that incoherent operations (IOs) can achieve the state transformations that are forbidden under dephasing-covariant incoherent operations (DIOs), thereby resolving the open problem posed by Chitambar and Gour [Phys. Rev. Lett. 117, 030401 (2016)]. We further demonstrate that no set of IO monotones suffices to characterize state convertibility under strictly incoherent operations (SIOs), and that monotones common to IOs and DIOs are insufficient to characterize convertibility under DIOs.

Related papers

• Exceptional activated mode theory for generalized real-complex transitions [48.9823527611878]
  Real-to-complex transitions mark the onset of amplification in non-Hermitian systems.<n>We develop a general, non-perturbative activated-mode principle that governs the real-to-complex threshold across broad classes of non-Hermitian systems.
  arXiv  Detail & Related papers  (2026-08-12T18:00:37Z)
• 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)
• Pure State Transformations under Block Coherence [0.0]
  Block coherence provides a natural generalization of standard quantum coherence by treating superpositions across different subspaces as a resource.<n>This work studies deterministic pure-state conversion under three free operations: physically block incoherent operations (PBIO), strictly block incoherent operations (SBIO), and block dephasing covariant incoherent operations (BDCO)
  arXiv  Detail & Related papers  (2026-05-28T21:35:02Z)
• State convertibility under genuinely incoherent operations [0.0]
  State convertibility is fundamental in the study of resource theory of quantum coherence. In this paper, we give a complete characterization of state convertibility under genuinely incoherent operations.
  arXiv  Detail & Related papers  (2024-08-06T01:28:53Z)
• UTSGAN: Unseen Transition Suss GAN for Transition-Aware Image-to-image Translation [57.99923293611923]
  We introduce a transition-aware approach to I2I translation, where the data translation mapping is explicitly parameterized with a transition variable. We propose the use of transition consistency, defined on the transition variable, to enable regularization of consistency on unobserved translations. Based on these insights, we present Unseen Transition Suss GAN (UTSGAN), a generative framework that constructs a manifold for the transition with a transition encoder.
  arXiv  Detail & Related papers  (2023-04-24T09:47:34Z)
• 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)
• Real quantum operations and state transformations [44.99833362998488]
  Resource theory of imaginarity provides a useful framework to understand the role of complex numbers. In the first part of this article, we study the properties of real'' (quantum) operations in single-party and bipartite settings. In the second part of this article, we focus on the problem of single copy state transformation via real quantum operations.
  arXiv  Detail & Related papers  (2022-10-28T01:08:16Z)
• Equivariant Disentangled Transformation for Domain Generalization under Combination Shift [91.38796390449504]
  Combinations of domains and labels are not observed during training but appear in the test environment. We provide a unique formulation of the combination shift problem based on the concepts of homomorphism, equivariance, and a refined definition of disentanglement.
  arXiv  Detail & Related papers  (2022-08-03T12:31:31Z)
• Conditions for local transformations between sets of quantum states [12.4026969327695]
  We study the problem of transforming a set of pure bipartite states into another using deterministic LOCC (local operations and classical communication) Necessary conditions for the existence of such a transformation are obtained using LOCC constraints on state transformation, entanglement, and distinguishability.
  arXiv  Detail & Related papers  (2022-04-19T11:41:20Z)
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations [0.0]
  We investigate the transformation from a mixed coherent state into a pure one by using both incoherent operations and incoherent operations. We show that both the incoherent operations and the incoherent operations can increase the dimension of the maximal pure coherent subspace of a state.
  arXiv  Detail & Related papers  (2020-12-29T04:54:25Z)
• SurVAE Flows: Surjections to Bridge the Gap between VAEs and Flows [78.77808270452974]
  SurVAE Flows is a modular framework for composable transformations that encompasses VAEs and normalizing flows. We show that several recently proposed methods, including dequantization and augmented normalizing flows, can be expressed as SurVAE Flows.
  arXiv  Detail & Related papers  (2020-07-06T13:13:22Z)

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.