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We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel. Our main result is a capacity theorem that gives a three-dimensional achievable rate region. Points in the…

Quantum Physics · Physics 2010-08-23 Min-Hsiu Hsieh , Mark M. Wilde

How could quantum cryptography help us achieve what are not achievable in classical cryptography? In this work we study the classical cryptographic problem that two parties would like to perform secure computations with long outputs. As a…

Quantum Physics · Physics 2025-08-14 Jiayu Zhang

We prove coding theorems for two scenarios of cooperating encoders for the multiple access channel with two classical inputs and one quantum output. In the first scenario (ccq-MAC with common messages), the two senders each have their…

Quantum Physics · Physics 2013-10-09 Holger Boche , Janis Noetzel

Quantum networks are essential for advancing scalable quantum information processing. Quantum nonlocality sharing provides a crucial strategy for the resource-efficient recycling of quantum correlations, offering a promising pathway toward…

Quantum Physics · Physics 2025-12-16 Ming-Xiao Li , Yuqi Li , Rui-Bin Xu , Mo-Ran Zhu , Haitao Ma , Chang-Yue Zhang , Zhu-Jun Zheng

Designing encoding and decoding circuits to reliably send messages over many uses of a noisy channel is a central problem in communication theory. When studying the optimal transmission rates achievable with asymptotically vanishing error…

Quantum Physics · Physics 2024-11-07 Matthias Christandl , Alexander Müller-Hermes

We prove that the correlations present in a multipartite quantum state have an \emph{operational} quantum character as soon as the state does not simply encode a multipartite classical probability distribution, i.e. does not describe the…

Quantum Physics · Physics 2008-05-09 Marco Piani , Pawel Horodecki , Ryszard Horodecki

In network coding, we discuss the effect of sequential error injection on information leakage. We show that there is no improvement when the operations in the network are linear operations. However, when the operations in the network…

Information Theory · Computer Science 2018-09-27 Masahito Hayashi , Masaki Owari , Go Kato , Ning Cai

Since a quantum measurement generally disturbs the state of a quantum system, one might think that it should not be possible for a sender and receiver to communicate reliably when the receiver performs a large number of sequential…

Quantum Physics · Physics 2013-07-12 Mark M. Wilde

We present a method that allows the study of classical and quantum correlations in networks with causally-independent parties, such as the scenario underlying entanglement swapping. By imposing relaxations of factorization constraints in a…

Quantum technology promises revolutionary advantages in information processing and transmission compared to classical technology; however, determining which specific resources are needed to surpass the capabilities of classical machines…

Quantum Physics · Physics 2017-03-20 Yuxiang Yang , Giulio Chiribella , Gerardo Adesso

In this work, we present a protocol for comparing the performance of arbitrary quantum processes executed on spatially or temporally disparate quantum platforms using Local Operations and Classical Communication (LOCC). The protocol…

Quantum Physics · Physics 2024-01-05 Congcong Zheng , Xutao Yu , Kun Wang

Small interconnected quantum processors can collaborate to tackle quantum computational problems that typically demand more capable devices. These linked processors, referred to as quantum nodes, can use shared entangled states to execute…

Quantum Physics · Physics 2024-08-26 Lars Talsma , Álvaro G. Iñesta , Stephanie Wehner

We study quantum algorithms working on classical probability distributions. We formulate four different models for accessing a classical probability distribution on a quantum computer, which are derived from previous work on the topic, and…

Quantum Physics · Physics 2019-04-05 Aleksandrs Belovs

Quantum key-distribution protocols allow two honest distant parties to establish a common truly random secret key in the presence of powerful adversaries, provided that the two users share beforehand a short secret key. This pre-shared…

Quantum Physics · Physics 2024-01-10 Georgios M. Nikolopoulos , Marc Fischlin

Quantum networks exhibit fundamental differences from their classical counterparts. These differences necessitate novel principles when organizing, managing, and operating them. Here we propose an unconventional approach to organize and…

Quantum Physics · Physics 2025-11-13 Alexander Pirker , Belen Munoz , Wolfgang Dür

A fundamental problem in statistics and learning theory is to test properties of distributions. We show that quantum computers can solve such problems with significant speed-ups. In particular, we give fast quantum algorithms for testing…

Quantum Physics · Physics 2019-02-05 András Gilyén , Tongyang Li

Running quantum algorithms often involves implementing complex quantum circuits with such a large number of multi-qubit gates that the challenge of tackling practical applications appears daunting. To date, no experiments have successfully…

Quantum Key Distribution (QKD) protocols rely on authenticated classical communication. Typical QKD security proofs are carried out in an idealized setting where authentication is assumed to behave honestly: it never aborts, and all…

Quantum Physics · Physics 2026-01-27 Devashish Tupkary , Shlok Nahar , Ernest Y. -Z. Tan

Achieving reliable performance on early fault-tolerant quantum hardware will depend on protocols that manage noise without incurring prohibitive overhead. We propose a novel framework that integrates quantum computation with the…

Quantum Physics · Physics 2026-03-10 IlKwon Sohn , Changyeol Lee , Wooyeong Song , Kwangil Bae , Wonhyuk Lee

We construct a classical oracle relative to which $\mathsf{P} = \mathsf{NP}$ but quantum-computable quantum-secure trapdoor one-way functions exist. This is a substantial strengthening of the result of Kretschmer, Qian, Sinha, and Tal (STOC…

Quantum Physics · Physics 2025-09-18 William Kretschmer , Luowen Qian , Avishay Tal