Fully quantum arbitrarily varying channel coding for entanglement-assisted communication

• URL: http://arxiv.org/abs/2404.08200v1
• Date: Fri, 12 Apr 2024 02:10:04 GMT
• Title: Fully quantum arbitrarily varying channel coding for entanglement-assisted communication
• Authors: Paula Belzig,
• Abstract summary: We study the problem of entanglement-assisted capacity in the presence of system uncertainty. We find that, under the assumption of a finite environment dimension, it is equal to a corresponding compound capacity. Our results imply that in certain fully quantum arbitrarily varying channel models, the entanglement-assisted capacity can be positive while the classical capacity is equal to zero.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: If a sender and a receiver lack precise knowledge about the communication line that connects them, designing a scheme to reliably transmit information becomes more challenging. This has been studied in classical and quantum information theory in the context of compound channel models and arbitrarily varying channel models. However, a fully quantum version of system uncertainty allows for an even more challenging coding scenario with entangled channel uses. This type of model has previously been investigated for classical and quantum capacity. Here, we address the problem of entanglement-assisted capacity in the presence of such system uncertainty. We find that, under the assumption of a finite environment dimension, it is equal to a corresponding compound capacity. Intriguingly, our results imply that in certain fully quantum arbitrarily varying channel models, the entanglement-assisted capacity can be positive while the classical capacity is equal to zero, a phenomenon that does not occur in regular single-channel coding.

Related papers

• Operational Nonclassicality in Quantum Communication Networks [9.312605205492458]
  We apply an operational framework for witnessing quantum nonclassicality in communication networks. We demonstrate nonclassicality in many basic networks such as entanglement-assisted point-to-point and multi-point channels. Our approaches could be implemented on quantum networking hardware and used to automatically establish certain protocols.
  arXiv  Detail & Related papers  (2024-03-05T14:07:37Z)
• Quantum Autoencoders for Learning Quantum Channel Codes [0.0]
  We develop a machine learning framework to generate quantum channel codes and evaluate their effectiveness. Applying it to various quantum channel models as proof of concept, we demonstrate strong performance in each case.
  arXiv  Detail & Related papers  (2023-07-13T08:37:21Z)
• Fault-tolerant Coding for Entanglement-Assisted Communication [46.0607942851373]
  This paper studies the study of fault-tolerant channel coding for quantum channels. We use techniques from fault-tolerant quantum computing to establish coding theorems for sending classical and quantum information in this scenario. We extend these methods to the case of entanglement-assisted communication, in particular proving that the fault-tolerant capacity approaches the usual capacity when the gate error approaches zero.
  arXiv  Detail & Related papers  (2022-10-06T14:09:16Z)
• Quantum Network Tomography with Multi-party State Distribution [10.52717496410392]
  characterization of quantum channels in a quantum network is of paramount importance. We introduce the problem of Quantum Network Tomography. We study this problem in detail for the case of arbitrary star quantum networks with quantum channels described by a single Pauli operator.
  arXiv  Detail & Related papers  (2022-06-06T21:47:09Z)
• Information transmission with continuous variable quantum erasure channels [2.8655318786364408]
  We identify a continuous variable quantum erasure channel in continuous variable settings. We derive the quantum capacity of the continuous variable erasure channel in the framework of decoupling theory. The discussion in this paper fills the gap of quantum erasure channel in continuous variable settings and sheds light on the understanding of other type of continuous variable quantum channels.
  arXiv  Detail & Related papers  (2022-05-19T17:24:48Z)
• Computation-aided classical-quantum multiple access to boost network communication speeds [61.12008553173672]
  We quantify achievable quantum communication rates of codes with computation property for a two-sender cq-MAC. We show that it achieves the maximum possible communication rate (the single-user capacity), which cannot be achieved with conventional design.
  arXiv  Detail & Related papers  (2021-05-30T11:19:47Z)
• Error mitigation and quantum-assisted simulation in the error corrected regime [77.34726150561087]
  A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations. We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
  arXiv  Detail & Related papers  (2021-03-12T20:58:41Z)
• Quantum information spreading in a disordered quantum walk [50.591267188664666]
  We design a quantum probing protocol using Quantum Walks to investigate the Quantum Information spreading pattern. We focus on the coherent static and dynamic disorder to investigate anomalous and classical transport. Our results show that a Quantum Walk can be considered as a readout device of information about defects and perturbations occurring in complex networks.
  arXiv  Detail & Related papers  (2020-10-20T20:03:19Z)
• Fault-tolerant Coding for Quantum Communication [71.206200318454]
  encode and decode circuits to reliably send messages over many uses of a noisy channel. For every quantum channel $T$ and every $eps>0$ there exists a threshold $p(epsilon,T)$ for the gate error probability below which rates larger than $C-epsilon$ are fault-tolerantly achievable. Our results are relevant in communication over large distances, and also on-chip, where distant parts of a quantum computer might need to communicate under higher levels of noise.
  arXiv  Detail & Related papers  (2020-09-15T15:10:50Z)
• Aggregating Quantum Networks [0.0]
  Single packets of information can now be split and transmitted in a coherent way over different routes. This aggregation allows information to be transmitted in a fault tolerant way between different parts of the quantum network. It is a quantum phenomenon not available in conventional telecommunication networks either.
  arXiv  Detail & Related papers  (2020-08-10T01:53:10Z)
• Quantum Channel State Masking [78.7611537027573]
  Communication over a quantum channel that depends on a quantum state is considered when the encoder has channel side information (CSI) and is required to mask information on the quantum channel state from the decoder. A full characterization is established for the entanglement-assisted masking equivocation region, and a regularized formula is given for the quantum capacity-leakage function without assistance.
  arXiv  Detail & Related papers  (2020-06-10T16:18:03Z)

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.