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We propose two coded schemes for the distributed computing problem of multiplying a matrix by a set of vectors. The first scheme is based on partitioning the matrix into submatrices and applying maximum distance separable (MDS) codes to…

信息论 · 计算机科学 2018-10-22 Albin Severinson , Alexandre Graell i Amat , Eirik Rosnes

A polar coding scheme is proposed for the Wiretap Broadcast Channel with two legitimate receivers and one eavesdropper. We consider a model in which the transmitter wishes to send a private and a confidential message that must be reliably…

信息论 · 计算机科学 2019-02-19 Jaume del Olmo Alos , Javier R. Fonollosa

We consider the class of (N+1)-partite states suitable for protocols where there is a powerful party, the authority, and the other N parties play the same role, namely the state of their system live in the symmetric Hilbert space. We show…

量子物理 · 物理学 2014-04-10 Carlos E. González Guillén

Real spherical designs and real and complex projective designs have been shown by Delsarte, Goethals, and Seidel to give rise to association schemes when the strength of the design is high compared to its degree as a code. In contrast,…

组合数学 · 数学 2011-04-26 Aidan Roy , Sho Suda

Quantum dense coding has been demonstrated experimentally in terms of quantum logic gates and circuits in quantum computation and NMR technique. Two bits of information have been transmitted through manipulating one of the maximally…

量子物理 · 物理学 2009-10-31 Ximing Fang , Xiwen Zhu , Mang Feng , Xi'an Mao , Fei Du

Recently, a quantum multi-party summation protocol based on the quantum Fourier transform has been proposed [Quantum Inf Process 17: 129, 2018]. The protocol claims to be secure against both outside and participant attacks. However, a…

量子物理 · 物理学 2021-06-16 Cai Zhang , Mohsen Razavi , Zhewei Sun , Haozhen Situ

Consider a communication scenario over a noiseless channel where a sender is required to broadcast messages to multiple receivers, each having side information about some messages. In this scenario, the sender can leverage the receivers'…

信息论 · 计算机科学 2017-06-13 Chandra Thapa , Lawrence Ong , Sarah J. Johnson

We propose in this paper a new coding scheme called twisted-pair superposition transmission (TPST). The encoding is to "mix together" a pair of basic codes by superposition, while the decoding can be implemented as a successive cancellation…

信息论 · 计算机科学 2021-01-25 Suihua Cai , Xiao Ma

The problem of three-user multiple-access channel (MAC) with noiseless feedback is investigated. A new coding strategy is presented. The coding scheme builds upon the natural extension of the Cover-Leung (CL) scheme; and uses quasi-linear…

信息论 · 计算机科学 2017-02-21 Mohsen Heidari , Farhad Shirani , S. Sandeep Pradhan

Coherence has been used as a resource for optical communications since its earliest days. It is widely used for multiplexing of data, but not for encoding of data. Here we introduce a coding scheme, which we call \textit{mutual coherence…

Sharing entangled pairs between non-signaling parties via entanglement swapping constitutes a striking demonstration of the nonlocality of quantum mechanics and a crucial building block for future quantum technologies. In this work, we…

量子物理 · 物理学 2026-01-28 Santeri Huhtanen , Yousef Mafi , Ali G. Moghaddam , Teemu Ojanen

Channel coding over arbitrarily-permuted parallel channels was first studied by Willems et al. (2008). This paper introduces capacity-achieving polar coding schemes for arbitrarily-permuted parallel channels where the component channels are…

信息论 · 计算机科学 2015-03-17 Eran Hof , Igal Sason , Shlomo Shamai , Chao Tian

We present experimental schemes that allow to study the entanglement classes of all symmetric states in multiqubit photonic systems. In addition to comparing the presented schemes in efficiency, we will highlight the relation between the…

量子物理 · 物理学 2015-05-14 N. Kiesel , W. Wieczorek , S. Krins , T. Bastin , H. Weinfurter , E. Solano

Hyper-hybrid entanglement for two indistinguishable bosons has been recently proposed by Li \textit{et al.} [Y. Li, M. Gessner, W. Li, and A. Smerzi, \href{https://doi.org/10.1103/PhysRevLett.120.050404}{Phys. Rev. Lett. 120, 050404…

量子物理 · 物理学 2021-01-26 Soumya Das , Goutam Paul , Anindya Banerji

In this contribution we present a concise introduction to quantum entanglement in multipartite systems. After a brief comparison between bipartite systems and the simplest non-trivial multipartite scenario involving three parties, we review…

量子物理 · 物理学 2024-09-10 Pawel Horodecki , Łukasz Rudnicki , Karol Życzkowski

A scheme to achieve dense quantum coding for the quadrature amplitudes of the electromagnetic field is presented. The protocol utilizes shared entanglement provided by nondegenerate parametric down conversion in the limit of large gain to…

量子物理 · 物理学 2009-10-31 Samuel L. Braunstein , H. J. Kimble

Genuine multipartite entanglement is a valuable resource in quantum information science, as it exhibits stronger non-locality compared to bipartite entanglement. This non-locality can be exploited in various quantum information protocols,…

量子物理 · 物理学 2024-09-05 Saesun Kim , Sho Onoe , Alberto M. Marino

Subspace codes were introduced by K\"otter and Kschischang for error control in random linear network coding. In this paper, a layered type of subspace codes is considered, which can be viewed as a superposition of multiple component…

信息论 · 计算机科学 2012-09-14 Chao Chen , Hongmei Xie , Baoming Bai

We classify protocols of entanglement distribution as excessive and non-excessive ones. In a non-excessive protocol, the gain of entanglement is bounded by the amount of entanglement being communicated between the remote parties, while…

A bipartite quantum state (for two systems in any dimensions) can be decomposed as a superposition of many components. For a superposition of more than two components we prove that there is a bound of the entanglement of the superposition…

量子物理 · 物理学 2009-11-13 Yang Xiang , Shi-Jie Xiong , Fang-Yu Hong
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