Multipartite channel assemblages

• URL: http://arxiv.org/abs/2205.05033v2
• Date: Thu, 22 Sep 2022 16:51:45 GMT
• Title: Multipartite channel assemblages
• Abstract summary: We show that beyond the bipartite case, the no-signaling and quantum descriptions of channel assemblages do not coincide. We present a complete characterization of these classes of assemblages and use this characterization to provide sufficient conditions for extremality of quantum channel assemblages.
• Score: 0.2343856409260935
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Motivated by the recent studies on post-quantum steering, we generalize the notion of bipartite channel steering by introducing the concept of multipartite no-signaling channel assemblages. We first show that beyond the bipartite case, the no-signaling and quantum descriptions of channel assemblages do not coincide. Using the Choi-Jamio{\l}kowski isomorphism, we present a complete characterization of these classes of assemblages and use this characterization to provide sufficient conditions for extremality of quantum channel assemblages within the set of all no-signaling channel assemblages. Finally, we introduce and discuss a relaxed version of channel steering where only certain subsystems obey the no-signaling constraints. In this latter asymmetric scenario we show the possibility of certifying a perfect key bit that is secure against a general no-signaling eavesdropper.

Related papers

• Quantum Key Distribution Without Shared Reference Frame Under Unital Noise [42.7789646649633]
  We consider a general and practical scenario of quantum key distribution (QKD) over an unknown, stationary, unital qubit channel.<n>We propose two methods to overcome the physical qubit noise and the lack of shared reference frame.
  arXiv  Detail & Related papers  (2026-06-22T12:24:11Z)
• Entanglement Fidelity in Standard Quantum Channels [7.792020418343022]
  Entanglement fidelity quantifies how well a quantum channel preserves the correlations between a transmitted system and an inaccessible reference system.<n>We derive closed-form expressions for the entanglement fidelity associated with several standard quantum noise models.
  arXiv  Detail & Related papers  (2026-03-08T18:50:15Z)
• On the Mechanism and Dynamics of Modular Addition: Fourier Features, Lottery Ticket, and Grokking [49.1352577985191]
  We present a comprehensive analysis of how two-layer neural networks learn features to solve the modular addition task.<n>Our work provides a full mechanistic interpretation of the learned model and a theoretical explanation of its training dynamics.
  arXiv  Detail & Related papers  (2026-02-18T20:25:13Z)
• Circulant quantum channels and its applications [7.293435425629241]
  This note introduces a family of circulant quantum channels -- a subclass of the mixed-permutation channels.<n>We show that the image of the circulant quantum channel is precisely the set of circulant matrices.<n>We prove that the channel is entanglement-breaking, implying a substantially reduced resource cost for erasing quantum correlations.
  arXiv  Detail & Related papers  (2026-01-23T04:22:15Z)
• Data Transmission over a Bosonic Arbitrarily Varying Quantum Channel [1.534667887016089]
  We give an explicit capacity formula for the lossy bosonic channel subject to semi-classical attacks.<n>We show how a recently conjectured new quantum entropy power relates to our capacity formula.
  arXiv  Detail & Related papers  (2025-07-24T10:01:16Z)
• Local models and Bell inequalities for the minimal triangle network [78.45663456116702]
  Nonlocal correlations enable surprising phenomena in quantum information and quantum foundations.<n>We study one of the simplest scenarios, namely that of distributions invariant under permutations of parties in the minimal triangle network.<n>We provide insights on the existence of a classical-quantum gap in the triangle network with binary outcomes.
  arXiv  Detail & Related papers  (2025-03-20T19:11:06Z)
• String commitment from unstructured noisy channels [53.04878543623513]
  Noisy channels are valuable resources for cryptography, enabling primitives like bit commitment and oblivious transfer. We present a protocol for string commitment over such channels that is complete, hiding, and binding, and derive its achievable commitment rate. The commitment rate coincides with previous results when the adversarial channels are the same binary symmetric channel as in the honest case.
  arXiv  Detail & Related papers  (2024-12-31T05:28:05Z)
• Pauli component erasing quantum channels [58.720142291102135]
  We propose a family of quantum maps that preserve or completely erase the components of a multi-qubit system. For the corresponding channels, it is shown that the preserved components can be interpreted as a finite vector subspace. We show that the obtained family of channels forms a semigroup and derive its generators.
  arXiv  Detail & Related papers  (2022-05-12T00:11:43Z)
• Bi-PPT channels are entanglement breaking [77.34726150561087]
  We show that bi-PPT channels are always entanglement breaking. We also show that degradable quantum channels staying completely positive under composition with a transposition are entanglement breaking.
  arXiv  Detail & Related papers  (2022-04-04T17:53:38Z)
• Multi-Channel End-to-End Neural Diarization with Distributed Microphones [53.99406868339701]
  We replace Transformer encoders in EEND with two types of encoders that process a multi-channel input. We also propose a model adaptation method using only single-channel recordings.
  arXiv  Detail & Related papers  (2021-10-10T03:24:03Z)
• Weakly-Supervised Spatio-Temporal Anomaly Detection in Surveillance Video [128.41392860714635]
  We introduce Weakly-Supervised Snoma-Temporally Detection (WSSTAD) in surveillance video. WSSTAD aims to localize a-temporal tube (i.e. sequence of bounding boxes at consecutive times) that encloses abnormal event. We propose a dual-branch network which takes as input proposals with multi-granularities in both spatial-temporal domains.
  arXiv  Detail & Related papers  (2021-08-09T06:11:14Z)
• Hybrid no-signaling-quantum correlations [0.2085467441379275]
  We introduce and study an intermediate hybrid no-signaling quantum set of non-local correlations that we term $textbfHNSQ$ in the multi-party Bell scenario. Specifically, the set $textbfHNSQ$ is a super-quantum set of correlations derived from no-signaling assemblages. In contrast to the usual no-signaling correlations, the new set allows for simple security of (one-sided)-device-independent applications against super-quantum adversaries.
  arXiv  Detail & Related papers  (2021-07-14T17:40:42Z)
• Statistical intrusion detection and eavesdropping in quantum channels with coupling: Multiple-preparation and single-preparation methods [2.2469167925905777]
  Non-quantum communications include configurations with multiple-input multiple-output (MIMO) channels. Some associated signal processing tasks consider these channels in a symmetric way, i.e. by assigning the same role to all inputs. We here address asymmetric (blind and non-blind) ones, with emphasis on intrusion detection and additional comments about eavesdropping.
  arXiv  Detail & Related papers  (2021-06-17T07:04:54Z)
• Coherent control and distinguishability of quantum channels via PBS-diagrams [59.94347858883343]
  We introduce a graphical language for coherent control of general quantum channels inspired by practical quantum optical setups involving polarising beam splitters (PBS) We characterise the observational equivalence of purified channels in various coherent-control contexts, paving the way towards a faithful representation of quantum channels under coherent control.
  arXiv  Detail & Related papers  (2021-03-02T22:56:25Z)
• Quantum Polarization of Qudit Channels [5.607676459156789]
  We provide a generalization of quantum polar codes to quantum channels with qudit-input. We show how to decode the proposed quantum polar codes on Pauli qudit channels.
  arXiv  Detail & Related papers  (2021-01-25T15:58:37Z)
• Batch Coherence-Driven Network for Part-aware Person Re-Identification [79.33809815035127]
  Existing part-aware person re-identification methods typically employ two separate steps: namely, body part detection and part-level feature extraction. We propose NetworkBCDNet that bypasses body part during both the training and testing phases while still semantically aligned features.
  arXiv  Detail & Related papers  (2020-09-21T09:04:13Z)
• On the edge of the set of no-signaling assemblages [0.11719282046304676]
  We introduce the notion of the edge of the set of no-signaling assemblages. Next, we use this concept to construct witnesses for no-signaling assemblages without an LHS model. Finally, we discuss the possibility of quantum realization of assemblages on the edge.
  arXiv  Detail & Related papers  (2020-08-27T18:29:57Z)
• Single trusted qubit is necessary and sufficient for quantum realisation of extremal no-signaling correlations [0.2085467441379275]
  We show that quantum statistics can never reproduce an extremal non-local point within the set of no-signaling boxes. We prove a positive result showing that already a single trusted qubit is enough for quantum theory to produce a self-testable extremal point.
  arXiv  Detail & Related papers  (2020-04-30T13:52:01Z)

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.