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It is shown on a simple classical model of a quantum particle at rest that information contained into the quantum state (quantum information) can be obtained by integrating the corresponding probability distribution on phase space, i.e. by…

Quantum Physics · Physics 2007-05-23 B. A. Nikolov

This paper addresses the problem of generating a common random string with min-entropy k using an unlimited supply of noisy EPR pairs or quantum isotropic states, with minimal communication between Alice and Bob. The paper considers two…

Quantum Physics · Physics 2023-11-27 Yangjing Dong , Penghui Yao

Partially smoothed information measures are fundamental tools in one-shot quantum information theory. In this work, we determine the exact strong converse exponents of these measures for both pure quantum states and classical states.…

Quantum Physics · Physics 2025-05-12 Mario Berta , Yongsheng Yao

In this paper, we design the first computationally efficient codes for simultaneously reliable and covert communication over Binary Symmetric Channels (BSCs). Our setting is as follows: a transmitter Alice wishes to potentially reliably…

Information Theory · Computer Science 2018-06-12 Qiaosheng Zhang , Mayank Bakshi , Sidharth Jaggi

Quantum resources can be more powerful than classical resources - a quantum computer can solve certain problems exponentially faster than a classical computer, and computing a function of two people's inputs can be done with exponentially…

Quantum Physics · Physics 2015-10-05 Christopher Perry , Rahul Jain , Jonathan Oppenheim

One of the fundamental tasks in quantum information theory is quantum data compression, which can be realized via quantum autoencoders that first compress quantum states to low-dimensional ones and then recover to the original ones with a…

Quantum Physics · Physics 2025-03-31 Hailan Ma , Gary J. Mooney , Ian R. Petersen , Lloyd C. L. Hollenberg , Daoyi Dong

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

We show that quantum-to-classical channels, i.e., quantum measurements, can be asymptotically simulated by an amount of classical communication equal to the quantum mutual information of the measurement, if sufficient shared randomness is…

Quantum Physics · Physics 2014-11-25 Mario Berta , Joseph M. Renes , Mark M. Wilde

Consider a situation in which a quantum system is secretly prepared in a state chosen from the known set of states. We present a principle that gives a definite distinction between the operations that preserve the states of the system and…

Quantum Physics · Physics 2007-05-23 Masato Koashi , Nobuyuki Imoto

Suppose two separated parties, Alice and Bob, share a bipartite quantum state or a classical correlation called a \emph{seed}, and they try to generate a target classical correlation by performing local quantum or classical operations on…

Quantum Physics · Physics 2024-05-15 Zhenyu Chen , Lijinzhi Lin , Xiaodie Lin , Zhaohui Wei , Penghui Yao

We consider the private classical capacity of a quantum wiretap channel, where the users (sender Alice, receiver Bob, and eavesdropper Eve) have access to the resource of a shared quantum state, additionally to their channel inputs and…

Quantum Physics · Physics 2024-09-25 Minglai Cai , Andreas Winter

Quantum data hiding stores classical information in bipartite quantum states that are, in principle, perfectly distinguishable, yet remain almost indistinguishable without access to a quantum communication channel. Here, we investigate…

Quantum Physics · Physics 2025-11-07 Aby Philip , Alexander Streltsov

Data compression is a ubiquitous aspect of modern information technology, and the advent of quantum information raises the question of what types of compression are feasible for quantum data, where it is especially relevant given the…

Quantum Physics · Physics 2014-12-17 Lee A. Rozema , Dylan H. Mahler , Alex Hayat , Peter S. Turner , Aephraim M. Steinberg

We consider lossy compression of an information source when decoder-only side information may be absent. This setup, also referred to as the Heegard-Berger or Kaspi problem, is a special case of robust distributed source coding. Building…

Information Theory · Computer Science 2024-05-08 Eyyup Tasci , Ezgi Ozyilkan , Oguzhan Kubilay Ulger , Elza Erkip

We study compression strategies for multipartite entanglement distribution under uncertainty in the partitioning of the quantum state. When the partition is not known at the time of state preparation, we show that a joint design of the…

Security and privacy are major concerns in modern communication networks. In recent years, the information theory of covert communications, where the very presence of the communication is undetectable to a watchful and determined adversary,…

Information Theory · Computer Science 2017-11-29 Ramin Soltani , Dennis Goeckel , Don Towsley , Amir Houmansadr

A classical random variable can be faithfully compressed into a sequence of bits with its expected length lies within one bit of Shannon entropy. We generalize this variable-length and faithful scenario to the general quantum source…

Quantum Physics · Physics 2009-11-07 Masato Koashi , Nobuyuki Imoto

Quantum direct coding or Schumacher compression generalised the ideas of Shannon theory, gave an operational meaning to the von Neumann entropy and established the term qubit. But remembering that information processing is carried out by…

Quantum Physics · Physics 2025-04-01 Jake Xuereb , Tiago Debarba , Marcus Huber , Paul Erker

We consider a rate-distortion version of the quantum state redistribution task, where the error of the decoded state is judged via an additive distortion measure; it thus constitutes a quantum generalisation of the classical Wyner-Ziv…

Quantum Physics · Physics 2025-04-11 Zahra Baghali Khanian , Andreas Winter

The problem of secure lossy source-channel wiretapping with arbitrarily correlated side informations at both receivers is investigated. This scenario consists of an encoder (referred to as Alice) that wishes to compress a source and send it…

Information Theory · Computer Science 2011-10-11 Joffrey Villard , Pablo Piantanida , Shlomo Shamai
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