Joint Realizability Tradeoffs Bounded by Quantum Channel Incompatibility

• URL: http://arxiv.org/abs/2605.11924v1
• Date: Tue, 12 May 2026 10:37:47 GMT
• Title: Joint Realizability Tradeoffs Bounded by Quantum Channel Incompatibility
• Abstract summary: We show that generalized robustness, a typical resource quantifier of channel incompatibility, lower the total error of any approximate joint realization.<n>Applying this result to measurement channels provides a unified, model-independent framework.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Incompatible quantum channels cannot be jointly and exactly realized, meaning that any approximate joint realization inevitably entails a tradeoff in implementation accuracy. While this notion of channel incompatibility unifies fundamental limitations such as measurement uncertainty, the no information without disturbance principle, and the no-cloning and no-broadcasting theorems, connecting these traditional relations directly to the resource-theoretic strength of incompatibility has remained elusive. In this Letter, we show that generalized robustness, a typical resource quantifier of channel incompatibility, lower bounds the total error of any approximate joint realization. Applying this result to measurement channels provides a unified, model-independent framework encompassing error-error and information-error-disturbance tradeoffs. Furthermore, our robustness-based evaluation of disturbance outperforms an algebraic bound for all POVMs in dimensions up to six.

Related papers

• Conformal Fusion Under Missing Modalities [6.599344783327054]
  We argue that missing-modality robustness and calibrated uncertainty are a single coupled property, and introduce Modality-Conditioned Conformal Fusion (MCCF)<n>MCCF combines a multimodal bottleneck fusion backbone trained with modality dropout, per-modality evidential heads producing modality-decomposed Dirichlet distributions, and a Dempster-Shafer combination rule.<n>A Mondrian conformal calibration module keyed on the modality-presence mask then provides finite-sample group-conditional coverage for every non-empty modality subset.
  arXiv  Detail & Related papers  (2026-08-07T12:57:16Z)
• Characterising extremal decoherence by quantum measurement incompatibility [0.0]
  We show that decoherence can turn incompatible measurements into jointly measurable ones.<n>The corresponding loss of incompatibility can be captured by the channel's emphcompatibility region.
  arXiv  Detail & Related papers  (2026-07-23T10:56:33Z)
• Operational Concealment of Measurement Incompatibility by Quantum Channels [0.0]
  Measurement incompatibility can become operationally inaccessible when observations are restricted to the output of a quantum channel.<n>We develop a systematic adjoint- kernel framework for operational concealment in which observables are organized into operational equivalence classes.<n>We show that concealment robustness coincides with standard incompatibility for injective channels but can be strictly smaller for non-injective channels.
  arXiv  Detail & Related papers  (2026-07-13T16:23:22Z)
• Unsupervised Disentanglement Without Compromises : How Functional Orthogonality Enforces Identifiability [46.784084625532984]
  This paper explores unsupervised disentangled representation learning from a functional perspective.<n>We prove that this condition yields identifiability of general nonlinear generative models.
  arXiv  Detail & Related papers  (2026-06-19T12:47:07Z)
• Robust Covert Quantum Communication under Bounded Channel Uncertainty [37.58598417573807]
  We study covert quantum communication over compound quantum optical channels with bounded uncertainty in both transmissivity and thermal noise.<n>We develop a robust framework for certifying both covertness and reliability under uncertainty.
  arXiv  Detail & Related papers  (2026-04-13T08:40:14Z)
• Neural Uncertainty Principle: A Unified View of Adversarial Fragility and LLM Hallucination [60.197429875410286]
  Adversarial vulnerability in vision and hallucination in large language models are conventionally viewed as separate problems.<n>Formalizing a Neural Uncertainty Principle (NUP) under a loss-induced state, we find that in near-bound regimes, further compression must be accompanied by increased sensitivity dispersion.<n>In vision, masking highly coupled components improves robustness without costly adversarial training.<n>In language, the same prefill-stage probe detects hallucination risk before generating any answer tokens.
  arXiv  Detail & Related papers  (2026-03-20T02:07:10Z)
• 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)
• General framework of quantum complementarity from a measurement-based perspective [6.073419957391949]
  We develop a framework for demonstrating quantum complementarity in the form of information exclusion relations. We explore the applications of our theory in entanglement witnessing and elucidate that our IERs lead to an extended form of entropic uncertainty relations.
  arXiv  Detail & Related papers  (2022-10-03T14:20:52Z)
• Non-Linear Spectral Dimensionality Reduction Under Uncertainty [107.01839211235583]
  We propose a new dimensionality reduction framework, called NGEU, which leverages uncertainty information and directly extends several traditional approaches. We show that the proposed NGEU formulation exhibits a global closed-form solution, and we analyze, based on the Rademacher complexity, how the underlying uncertainties theoretically affect the generalization ability of the framework.
  arXiv  Detail & Related papers  (2022-02-09T19:01:33Z)
• Invariance Principle Meets Information Bottleneck for Out-of-Distribution Generalization [77.24152933825238]
  We show that for linear classification tasks we need stronger restrictions on the distribution shifts, or otherwise OOD generalization is impossible. We prove that a form of the information bottleneck constraint along with invariance helps address key failures when invariant features capture all the information about the label and also retains the existing success when they do not.
  arXiv  Detail & Related papers  (2021-06-11T20:42:27Z)
• Information Causality without concatenation [0.5043455303941253]
  Information Causality is a physical principle which states that the amount of randomly accessible data over a classical communication channel cannot exceed its capacity. We show that concatenation can be successfully replaced by limits on the communication channel capacity.
  arXiv  Detail & Related papers  (2021-01-29T18:05:40Z)
• Verification of joint measurability using phase-space quasiprobability distributions [0.0]
  We introduce an approach to verify the joint measurability of measurements based on phase-space quasiprobability distributions. Our results establish a connection between two notions of non-classicality, namely the negativity of quasiprobability distributions and measurement incompatibility.
  arXiv  Detail & Related papers  (2020-12-12T16:21:36Z)
• Amount of quantum coherence needed for measurement incompatibility [0.0]
  A pair of quantum observables diagonal in the same "incoherent" basis can be measured jointly. We first observe that coherence in a single observable is linked to the diagonal elements of any observable jointly measurable with it, leading to a general criterion for the coherence needed for incompatibility. We develop a concrete method for solving incompatibility problems, tractable even in large systems by analytical bounds, without resorting to numerical optimisation.
  arXiv  Detail & Related papers  (2020-11-14T08:21:57Z)
• Distributing entanglement with separable states: assessment of encoding and decoding imperfections [55.41644538483948]
  Entanglement can be distributed using a carrier which is always separable from the rest of the systems involved. We consider the effect of incoherent dynamics acting alongside imperfect unitary interactions. We show that entanglement gain is possible even with substantial unitary errors.
  arXiv  Detail & Related papers  (2020-02-11T15:25:19Z)

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.