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Dense coding is the seminal example of how entanglement can boost qubit communication, from sending one bit to sending two bits. This is made possible by projecting separate particles onto a maximally entangled basis. We investigate more…

Quantum entanglement cannot be unlimitedly shared among arbitrary number of qubits. Larger the number of entangled pairs in an N-qubit system, smaller the degree of bi-partite entanglement is. We analyze a system of N qubits in which an…

Quantum Physics · Physics 2009-11-06 Masato Koashi , Vladimir Buzek , Nobuyuki Imoto

Quantum secret-sharing and quantum error-correction schemes rely on multipartite decoding protocols, yet the non-local operations involved are challenging and sometimes infeasible. Here we construct a quantum secret-sharing protocol with a…

Quantum Physics · Physics 2013-09-02 Vlad Gheorghiu , Barry C. Sanders

Following initial work by Gregoratti and Werner [J. Mod. Optics 50, 913-933, 2003 and quant-ph/0403092] and Hayden and King [quant-ph/0409026], we study the problem of the capacity of a quantum channel assisted by a "friendly (channel)…

Quantum Physics · Physics 2017-08-01 Andreas Winter

Entanglement, a fundamental feature of quantum mechanics, has long been recognized as a valuable resource in enabling secure communications and surpassing classical limits. However, previous research has primarily concentrated on static…

Quantum Physics · Physics 2023-06-09 Junjing Xing , Tianfeng Feng , Zhaobing Fan , Haitao Ma , Kishor Bharti , Dax Enshan Koh , Yunlong Xiao

An (n,m,p) Random Access Code (RAC) allows to encode n bits in an m bit message, in such a way that a receiver of the message can guess any of the original $n$ bits with probability p, greater than 1/2. In Quantum RAC's (QRACs) one…

Quantum Physics · Physics 2013-05-29 Marcin Pawlowski , Marek Zukowski

The goal of demonstrating a quantum advantage with currently available experimental systems is of utmost importance in quantum information science. While this remains elusive for quantum computation, the field of communication complexity…

Quantum Physics · Physics 2019-09-16 Niraj Kumar , Iordanis Kerenidis , Eleni Diamanti

We show that the classical capacity of quantum states, as quantified by its ability to perform dense coding, respects an exclusion principle, for arbitrary pure or mixed three-party states in any dimension. This states that no two bipartite…

Quantum Physics · Physics 2013-06-03 R. Prabhu , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

Quantum error-correcting codes are analyzed from an information-theoretic perspective centered on quantum conditional and mutual entropies. This approach parallels the description of classical error correction in Shannon theory, while…

Quantum Physics · Physics 2008-12-18 Nicolas J. Cerf , Richard Cleve

We consider entanglement-assisted (EA) private communication over a quantum broadcast channel, in which there is a single sender and multiple receivers. We divide the receivers into two sets: the decoding set and the malicious set. The…

Quantum Physics · Physics 2018-08-13 Haoyu Qi , Kunal Sharma , Mark M. Wilde

For any quantum transmission line, with smaller output dimension than its input, the number of classical symbols that can be reliably encoded is strictly suboptimal. In other words, if the channel outputs a lesser number of symbols than it…

Quantum Physics · Physics 2025-09-12 Snehasish Roy Chowdhury , Sutapa Saha , Subhendu B. Ghosh , Ranendu Adhikary , Tamal Guha

A precise physical description and understanding of the classical dual content of quantum theory is necessary in many disciplines today: from concepts and interpretation to quantum technologies and computation. In this paper we investigate…

Quantum Physics · Physics 2025-12-01 Diego J. Cirilo-Lombardo , Norma G. Sanchez

Quantum error correcting codes play the role of suppressing noise and decoherence in quantum systems by introducing redundancy. Some strategies can be used to improve the parameters of these codes. For example, entanglement can provide a…

This thesis will be focused on the classical capacity of quantum channels, one of the first areas treated by quantum information theorists. The problem is fairly solved since some years. Nevertheless, this work will give me a reason to…

Quantum Physics · Physics 2016-09-08 David A. Herrera-Martí

We investigate practical finite-blocklength classical-quantum channel coding over the quantum amplitude damping channel (ADC), aiming to transmit classical information reliably through quantum outputs. Our findings indicate that for any…

Information Theory · Computer Science 2025-09-19 Tamás Havas , Hsuan-Yin Lin , Eirik Rosnes , Ching-Yi Lai

The ability to use the temporal and spatial degrees of freedom of quantum states of light to encode and transmit information is crucial for the implementation of a robust and efficient quantum network. In particular, the large…

Quantum Physics · Physics 2023-10-31 Gaurav Nirala , Siva T. Pradyumna , Ashok Kumar , Alberto M. Marino

Entanglement offers substantial advantages in quantum information processing, but loss and noise hinder its applications in practical scenarios. Although it has been well known for decades that the classical communication capacity over…

Quantum Physics · Physics 2020-03-16 Haowei Shi , Zheshen Zhang , Quntao Zhuang

We consider implementations of a bipartite unitary on many pairs of unknown input states by local operation and classical communication assisted by shared entanglement. We investigate to what extent the entanglement cost and the classical…

Quantum Physics · Physics 2014-07-21 Eyuri Wakakuwa , Mio Murao

It is known that the maximum classical mutual information that can be achieved between measurements on a pair of quantum systems can drastically underestimate the quantum mutual information between those systems. In this article, we…

Quantum Physics · Physics 2014-09-08 Frédéric Dupuis , Jan Florjanczyk , Patrick Hayden , Debbie Leung

We consider a secret sharing setting with a monotone access structure involving a control node and $L$ users, connected via a classical-quantum broadcast channel whose input is controlled by the control node, referred to as the dealer.…

Information Theory · Computer Science 2026-04-03 Truman Welling , Rémi A. Chou , Aylin Yener
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