Interplays between classical and quantum entanglement-assisted communication scenarios

• URL: http://arxiv.org/abs/2205.05171v3
• Date: Wed, 19 Apr 2023 13:43:46 GMT
• Title: Interplays between classical and quantum entanglement-assisted communication scenarios
• Authors: Carlos Vieira, Carlos de Gois, Lucas Pollyceno, Rafael Rabelo
• Abstract summary: We show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of greater dimension than the transmitted message.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Prepare-and-measure scenarios, in their many forms, can be seen as the basic building blocks of communication tasks. As such, they can be used to analyze a diversity of classical and quantum protocols -- of which dense coding and random access codes are key examples -- in a unified manner. In particular, the use of entanglement as a resource in prepare-and-measure scenarios have only recently started to be systematically investigated, and many crucial questions remain open. In this work, we explore such scenarios and provide answers to some seminal questions. More specifically, we show that, in scenarios where entanglement is a free resource, quantum messages are equivalent to classical ones with twice the capacity. We also prove that, in such scenarios, it is always advantageous for the parties to share entangled states of dimension greater than the transmitted message. Finally, we show that unsteerable states cannot provide advantages in classical communication tasks, thus proving that not all entangled states are useful resources in these scenarios.

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)
• ShadowNet for Data-Centric Quantum System Learning [188.683909185536]
  We propose a data-centric learning paradigm combining the strength of neural-network protocols and classical shadows. Capitalizing on the generalization power of neural networks, this paradigm can be trained offline and excel at predicting previously unseen systems. We present the instantiation of our paradigm in quantum state tomography and direct fidelity estimation tasks and conduct numerical analysis up to 60 qubits.
  arXiv  Detail & Related papers  (2023-08-22T09:11:53Z)
• Simple Information Processing Tasks with Unbounded Quantum Advantage [0.0]
  We show that it is possible to detect a definite, unbounded advantage of quantum systems over classical systems. No finite storage can be used to store all the coordinated actions needed to implement all the possible quantum communication tasks with classical systems.
  arXiv  Detail & Related papers  (2023-08-15T12:07:31Z)
• Almost qudits in the prepare-and-measure scenario [0.0]
  We introduce and investigate quantum information encoded in carriers that nearly, but not entirely, correspond to standard qudits. We show how small higher-dimensional components can significantly compromise the conclusions of established protocols. We also consider viewing almost qubit systems as a physical resource available to the experimenter.
  arXiv  Detail & Related papers  (2022-08-16T18:00:07Z)
• Adaptive advantage in entanglement-assisted communications [0.0]
  Entanglement-assisted classical communication protocols usually consist of two successive rounds. We show that adaptive protocols improve the success probability in Random Access Codes. We briefly discuss extension of these ideas to scenarios involving quantum communication.
  arXiv  Detail & Related papers  (2022-03-10T13:54:02Z)
• Commitment capacity of classical-quantum channels [70.51146080031752]
  We define various notions of commitment capacity for classical-quantum channels. We prove matching upper and lower bound on it in terms of the conditional entropy.
  arXiv  Detail & Related papers  (2022-01-17T10:41:50Z)
• Quantum secure direct communication with private dense coding using general preshared quantum state [59.99354397281036]
  We study secure direct communication by using a general preshared quantum state and a generalization of dense coding. For a practical application, we propose a concrete protocol and derive an upper bound of information leakage.
  arXiv  Detail & Related papers  (2021-12-30T16:12:07Z)
• Quantifying Qubit Magic Resource with Gottesman-Kitaev-Preskill Encoding [58.720142291102135]
  We define a resource measure for magic, the sought-after property in most fault-tolerant quantum computers. Our formulation is based on bosonic codes, well-studied tools in continuous-variable quantum computation.
  arXiv  Detail & Related papers  (2021-09-27T12:56:01Z)
• Entanglement in prepare-and-measure scenarios: many questions, a few answers [0.0]
  Entanglement and quantum communication are paradigmatic resources in quantum information science. Correlations due to entanglement when communication is absent have been studied in Bell scenarios. We focus on entanglement-assisted prepare-and-measure scenarios.
  arXiv  Detail & Related papers  (2021-08-01T12:22:00Z)
• Genuine quantum networks: superposed tasks and addressing [68.8204255655161]
  We show how to make quantum networks, both standard and entanglement-based, genuine quantum. We provide them with the possibility of handling superposed tasks and superposed addressing.
  arXiv  Detail & Related papers  (2020-04-30T18:00:06Z)
• Permutation Enhances Classical Communication Assisted by Entangled States [67.12391801199688]
  We show that the capacity satisfies the strong converse property and thus the formula serves as a sharp dividing line between achievable and unachievable rates of communication. As examples, we derive analytically the classical capacity of various quantum channels of interests.
  arXiv  Detail & Related papers  (2020-01-07T01:49:31Z)

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.