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A game is played by a team of two --- say Alice and Bob --- in which the value of a random variable $x$ is revealed to Alice only, who cannot freely communicate with Bob. Instead, she is given a quantum $n$-level system, respectively a…

Information Theory · Computer Science 2015-12-16 Péter E. Frenkel , Mihály Weiner

We present a controlled quantum teleportation protocol. In the protocol, quantum information of an unknown state of a 2-level particle is faithfully transmitted from a sender (Alice) to a remote receiver (Bob) via an initially shared…

Quantum Physics · Physics 2009-11-10 T Gao , F L Yan , Z X Wang

Quantum key distribution is the most well-known application of quantum cryptography. Previous proposed proofs of security of quantum key distribution contain various technical subtleties. Here, a conceptually simpler proof of security of…

Quantum Physics · Physics 2008-11-26 Hoi-Kwong Lo

We consider the hypothetical quantum network case where Alice wishes to transmit one qubit of information (specifically a pure quantum state) to $M$ parties, where $M$ is some large number. The remote receivers locally perform single qubit…

Quantum Physics · Physics 2025-09-16 Elijah Pelofske

Remote state preparation is the variant of quantum state teleportation in which the sender knows the quantum state to be communicated. The original paper introducing teleportation established minimal requirements for classical communication…

Quantum Physics · Physics 2007-05-23 Charles H. Bennett , Patrick Hayden , Debbie W. Leung , Peter W. Shor , Andreas Winter

We investigate the quantum advantage that can arise in typical two-party communication scenarios, where the sender and the receiver are allowed to share prior correlations. Focusing on communication tasks constrained by the…

Quantum Physics · Physics 2026-03-20 Satyaki Manna , Ankush Pandit , Debashis Saha

We consider the problem of distributed compression for correlated quantum sources. The classical version of this problem was solved by Slepian and Wolf, who showed that distributed compression could take full advantage of redundancy in the…

Quantum Physics · Physics 2007-05-23 Charlene Ahn , Andrew Doherty , Patrick Hayden , Andreas Winter

We prove an optimal $\Omega(n)$ lower bound on the randomized communication complexity of the much-studied Gap-Hamming-Distance problem. As a consequence, we obtain essentially optimal multi-pass space lower bounds in the data stream model…

Computational Complexity · Computer Science 2012-07-02 Amit Chakrabarti , Oded Regev

We study the communication complexity of computing functions $F:\{0,1\}^n\times \{0,1\}^n \rightarrow \{0,1\}$ in the memoryless communication model. Here, Alice is given $x\in \{0,1\}^n$, Bob is given $y\in \{0,1\}^n$ and their goal is to…

Computational Complexity · Computer Science 2020-09-10 Srinivasan Arunachalam , Supartha Podder

Most coding theorems in quantum Shannon theory can be proven using the decoupling technique: to send data through a channel, one guarantees that the environment gets no information about it; Uhlmann's theorem then ensures that the receiver…

Quantum Physics · Physics 2014-07-16 Frédéric Dupuis , Oleg Szehr , Marco Tomamichel

Quantum teleportation provides a way to transfer unknown quantum states from one system to another via an entangled state as a quantum channel without physical transmission of the object itself. The entangled channel, measurement performed…

Quantum Physics · Physics 2023-01-24 Xiang Chen , Yao Shen , Fu-Lin Zhang

This work explores entanglement-assisted communication, where quantum entanglement resources enable the transmission of classical information at an enhanced rate. We consider a scenario where entanglement is distributed ahead of time based…

Quantum Physics · Physics 2023-08-01 Stephen DiAdamo , Janis Nötzel

The framework of distributed computing, consisting of several spatially separated input-output servers, has immense importance in distant data manipulation. One of the most challenging parts of this setting is to optimize the use of…

Quantum Physics · Physics 2023-04-11 Sutapa Saha , Tamal Guha , Some Sankar Bhattacharya , Manik Banik

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

Quantum Physics · Physics 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

Suppose that Alice and Bob are located in distant laboratories, which are connected by an ideal quantum channel. Suppose further that they share many copies of a quantum state $\rho_{ABE}$, such that Alice possesses the $A$ systems and Bob…

Quantum Physics · Physics 2020-02-12 Kunal Sharma , Eyuri Wakakuwa , Mark M. Wilde

We introduce a simple model illustrating the role of context in communication and the challenge posed by uncertainty of knowledge of context. We consider a variant of distributional communication complexity where Alice gets some information…

Computational Complexity · Computer Science 2015-07-21 Badih Ghazi , Ilan Komargodski , Pravesh Kothari , Madhu Sudan

We analyze the amount of classical communication required to reproduce the statistics of local projective measurements on a general pair of entangled qubits, $|\Psi_{AB}>=\sqrt{p}\ |00>+\sqrt{1-p}\ |11>$ (with $1/2\leq p \leq 1$). We…

Quantum Physics · Physics 2023-10-25 Martin J. Renner , Marco Túlio Quintino

We introduce and analyse the problem of encoding classical information into different resources of a quantum state. More precisely, we consider a general class of communication scenarios characterised by encoding operations that commute…

Quantum Physics · Physics 2022-08-08 Kamil Korzekwa , Zbigniew Puchała , Marco Tomamichel , Karol Życzkowski

The problem of converting noisy quantum correlations between two parties into noiseless classical ones using a limited amount of one-way classical communication is addressed. A single-letter formula for the optimal trade-off between the…

Quantum Physics · Physics 2017-08-02 I. Devetak , A. Winter

This paper presents a new quantum protocol designed to simultaneously transmit information from one source to many recipients. The proposed protocol, which is based on the phenomenon of entanglement, is completely distributed and is…

Quantum Physics · Physics 2025-03-14 Theodore Andronikos , Alla Sirokofskich