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We introduce the notion of distributed quantum dense coding, i.e. the generalization of quantum dense coding to more than one sender and more than one receiver. We show that global operations (as compared to local operations) of the senders…

The restrictions that nature places on the distribution of correlations in a multipartite quantum system play fundamental roles in the evolution of such systems, and yield vital insights into the design of protocols for the quantum control…

Quantum Physics · Physics 2007-05-23 Tracey E. Tessier

Quantum cryptography makes it possible to expand a short shared key (of e.g. 256 bits[1]) into an arbitrary long shared key. The novelty of quantum cryptography is that whenever a spy tries to eavesdrop the communication he causes…

Quantum Physics · Physics 2009-10-19 Thomas Durt , Alex Hermanne

We prove a one-shot "minimax" converse bound for quantum channel coding assisted by positive partial transpose channels between sender and receiver. The bound is similar in spirit to the converse by Polyanskiy, Poor, and Verdu [IEEE Trans.…

Quantum Physics · Physics 2015-06-01 Joseph M. Renes

We consider the fundamental protocol of dense coding of classical information assuming that noise affects both the forward and backward communication lines between Alice and Bob. Assuming that this noise is described by the same quantum…

Quantum Physics · Physics 2020-04-13 Riccardo Laurenza , Cosmo Lupo , Seth Lloyd , Stefano Pirandola

Imagine that Alice and Bob, unable to communicate, are both given a 16-bit string such that the strings are either equal, or they differ in exactly 8 positions. Both parties are then supposed to output a 4-bit string in such a way that…

Quantum Physics · Physics 2007-05-23 Viktor Galliard , Stefan Wolf , Alain Tapp

We propose several methods for quantum key distribution (QKD) based upon the generation and transmission of random distributions of coherent or squeezed states, and we show that they are are secure against individual eavesdropping attacks.…

Quantum Physics · Physics 2016-09-08 Frédéric Grosshans , Philippe Grangier

The fundamental question of how information spreads in closed quantum many-body systems is often addressed through the lens of the bipartite entanglement entropy, a quantity that describes correlations in a comprehensive (nonlocal) way.…

Statistical Mechanics · Physics 2023-06-06 Andrea Pizzi , Daniel Malz , Andreas Nunnenkamp , Johannes Knolle

We consider the problem of distributed hypothesis testing (or social learning) where a network of agents seeks to identify the true state of the world from a finite set of hypotheses, based on a series of stochastic signals that each agent…

Multiagent Systems · Computer Science 2020-04-06 Shreyas Sundaram , Aritra Mitra

Alice and Bob receive a bipartite state (possibly entangled) from some finite collection or from some subspace. Alice sends a message to Bob through a noisy quantum channel such that Bob may determine the initial state, with zero chance of…

Quantum Physics · Physics 2015-11-17 Dan Stahlke

A lower bound on the probability of decoding error of quantum communication channel is presented. The strong converse to the quantum channel coding theorem is shown immediately from the lower bound. It is the same as Arimoto's method exept…

Quantum Physics · Physics 2016-11-17 Tomohiro Ogawa , Hiroshi Nagaoka

Recall the classical hypothesis testing setting with two convex sets of probability distributions P and Q. One receives either n i.i.d. samples from a distribution p in P or from a distribution q in Q and wants to decide from which set the…

Information Theory · Computer Science 2020-07-20 Fernando G. S. L. Brandao , Aram W. Harrow , James R. Lee , Yuval Peres

Quantum information science explores the frontier of highly complex quantum states, the "entanglement frontier." This study is motivated by the observation (widely believed but unproven) that classical systems cannot simulate highly…

Quantum Physics · Physics 2012-11-13 John Preskill

We investigate the possibility of eavesdropping on a quantum key distribution network by local sequential quantum unsharp measurement attacks by the eavesdropper. In particular, we consider a pure two-qubit state shared between two parties…

Quantum Physics · Physics 2023-12-08 Yash Wath , Hariprasad M , Freya Shah , Shashank Gupta

In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy, and is…

Quantum Physics · Physics 2017-01-12 Salman Beigi , Amin Gohari

We show that with the fourpartite quantum channel used to teleport an arbitrary two qubit state, we can construct a superdense coding protocol where it is possible to transmit 4 bits of classical information sending only 2 qubits. Alice and…

Quantum Physics · Physics 2007-05-23 G. Rigolin

We explore the classical communication over quantum channels with one sender and two receivers, or with two senders and one receiver, First, for the quantum broadcast channel (QBC) and the quantum multi-access channel (QMAC), we study the…

Quantum Physics · Physics 2017-12-18 Wei Xie , Xin Wang , Runyao Duan

We study the problem of transmission of information over classical and classical-quantum channels in the one-shot regime where the underlying codes are constrained to be group codes. In the achievability part, we introduce a new input…

Information Theory · Computer Science 2024-06-21 James Chin-Jen Pang , Sandeep Pradhan , Hessam Mahdavifar

Secure key distribution among two remote parties is impossible when both are classical, unless some unproven (and arguably unrealistic) computation-complexity assumptions are made, such as the difficulty of factorizing large numbers. On the…

Quantum Physics · Physics 2011-11-01 Michel Boyer , Ran Gelles , Dan Kenigsberg , Tal Mor

A new proof of the direct part of the quantum channel coding theorem is shown based on a standpoint of quantum hypothesis testing. A packing procedure of mutually noncommutative operators is carried out to derive an upper bound on the error…

Quantum Physics · Physics 2007-05-23 Tomohiro Ogawa , Hiroshi Nagaoka