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We consider the task of distributed inner product estimation when allowed limited quantum communication. Here, Alice and Bob are given $k$ copies of an unknown $n$-qubit quantum states $\vert \psi \rangle,\vert \phi \rangle$ respectively.…

量子物理 · 物理学 2024-10-17 Srinivasan Arunachalam , Louis Schatzki

Alice, Bob, and Eve share a pure quantum state. We introduce the notion of state degradability by asking whether the joint density of Alice and Eve can be transformed to the joint density of Alice and Bob by processing Eve's part through a…

量子物理 · 物理学 2014-05-09 Chi-Hang Fred Fung , Chi-Kwong Li , Nung-Sing Sze , H. F. Chau

The accessible information quantifies the amount of classical information that can be extracted from an ensemble of quantum states. Analogously, the informational power quantifies the amount of classical information that can be extracted by…

量子物理 · 物理学 2014-08-06 Michele Dall'Arno , Francesco Buscemi , Masanao Ozawa

Using a mild variant of polar codes we design linear compression schemes compressing Hidden Markov sources (where the source is a Markov chain, but whose state is not necessarily observable from its output), and to decode from Hidden Markov…

信息论 · 计算机科学 2018-10-05 Venkatesan Guruswami , Preetum Nakkiran , Madhu Sudan

Consider many instances of an arbitrary quadripartite pure state of four quantum systems ABCD. Alice holds the AC part of each state, Bob holds B, while D represents all other parties correlated with ABC. Alice is required to redistribute…

量子物理 · 物理学 2020-09-29 Jon Yard , Igor Devetak

Masking quantum information, which is impossible without randomness as a resource, is a task that encodes quantum information into bipartite quantum state while forbidding local parties from accessing to that information. In this work, we…

量子物理 · 物理学 2020-05-20 Seok Hyung Lie , Hyunseok Jeong

Secure multi-party computation is a central problem in modern cryptography. An important sub-class of this are problems of the following form: Alice and Bob desire to produce sample(s) of a pair of jointly distributed random variables. Each…

信息论 · 计算机科学 2010-02-10 Vinod Prabhakaran , Manoj Prabhakaran

We establish a universal complementarity relation between the capacity of classical information transmission by employing a multiparty quantum state as a multiport quantum channel, and the genuine multipartite entanglement of the quantum…

量子物理 · 物理学 2013-10-30 R. Prabhu , Aditi Sen De , Ujjwal Sen

It is well known that classical information can be cloned, but non-orthogonal quantum states cannot be cloned, and non-commuting quantum states cannot be broadcast. We conceive a scenario in which the object we want to broadcast is the…

量子物理 · 物理学 2013-05-20 Xiao-Ming Lu , Zhe Sun , Xiaoguang Wang , Shunlong Luo , C. H. Oh

This work studies distributed compression for the uplink of a cloud radio access network where multiple multi-antenna base stations (BSs) are connected to a central unit, also referred to as cloud decoder, via capacity-constrained backhaul…

信息论 · 计算机科学 2012-06-19 Seok-Hwan Park , Osvaldo Simeone , Onur Sahin , Shlomo Shamai

Communication complexity is the amount of communication needed to compute a function when the function inputs are distributed over multiple parties. In its simplest form, one-way communication complexity, Alice and Bob compute a function…

计算复杂性 · 计算机科学 2023-05-24 Naresh Goud Boddu , Rahul Jain , Han-Hsuan Lin

In the theory of classical statistical inference one can derive a simple rule by which two or more observers may combine {\em independently} obtained states of knowledge together to form a new state of knowledge, which is the state which…

量子物理 · 物理学 2007-05-23 Kurt Jacobs

Coded source compression, also known as source compression with helpers, has been a major variant of distributed source compression, but has hitherto received little attention in the quantum regime. This work treats and solves the…

信息论 · 计算机科学 2019-03-08 Min-Hsiu Hsieh , Shun Watanabe

Classical information encoded in composite quantum states can be completely hidden from the reduced subsystems and may be found only in the correlations. Can the same be true for quantum information? If quantum information is hidden from…

量子物理 · 物理学 2018-06-14 Kavan Modi , Arun Kumar Pati , Aditi Sen De , Ujjwal Sen

Entanglement is a fundamental resource for quantum information processing. In its pure form, it allows quantum teleportation and sharing classical secrets. Realistic quantum states are noisy and their usefulness is only partially…

量子物理 · 物理学 2014-04-15 Maris Ozols , Graeme Smith , John A. Smolin

We consider the transfer of classical and quantum information through a memory amplitude damping channel. Such a quantum channel is modeled as a damped harmonic oscillator, the interaction between the information carriers - a train of…

量子物理 · 物理学 2012-06-15 A. D'Arrigo , G. Benenti , G. Falci

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…

量子物理 · 物理学 2015-11-17 Dan Stahlke

This paper addresses the problem of how much information we can extract without disturbing a statistical experiment, which is a family of partially known normal states on a von Neumann algebra. We define the classical part of a statistical…

量子物理 · 物理学 2018-05-23 Yui Kuramochi

Classical data can be copied and re-used for computation, with adverse consequences economically and in terms of data privacy. Motivated by this, we formulate problems in one-way communication complexity where Alice holds some data $x$ and…

量子物理 · 物理学 2025-07-22 Dar Gilboa , Siddhartha Jain , Jarrod R. McClean

As conventional communication systems based on classic information theory have closely approached the limits of Shannon channel capacity, semantic communication has been recognized as a key enabling technology for the further improvement of…

信息论 · 计算机科学 2023-06-06 Jiancheng Tang , Qianqian Yang , Zhaoyang Zhang