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We consider several models of 1-round classical and quantum communication, some of these models have not been defined before. We "almost separate" the models of simultaneous quantum message passing with shared entanglement and the model of…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky

We demonstrate how to universally simulate ensemble statistics of projective local measurements on any $n$-qubit state shared among $n$ observers with classical communication and shared randomness. Our technique originates from protocols…

量子物理 · 物理学 2024-02-20 Kelvin Onggadinata , Pawel Kurzynski , Dagomir Kaszlikowski

In modern data center networks, thousands of hosts contend for shared link capacity; the scale of these systems makes centralized scheduling impractical. This article models such scheduling as a bipartite matching problem under…

分布式、并行与集群计算 · 计算机科学 2026-04-14 Moonmoon Mohanty , Gautham Bolar , Preetam Patil , Ayalvadi Ganesh , Jean-Francois Chamberland , Parimal Parag

Under the spin-position decoupling approximation, a vector with a phase in 3D orientation space endowed with geometric algebra, substitutes the vector-matrix spin model built on the Pauli spin operator. The standard quantum operator-state…

量子物理 · 物理学 2022-12-20 Sokol Andoni

We study statistical problems, such as planted clique, its variants, and sparse principal component analysis in the context of average-case communication complexity. Our motivation is to understand the statistical-computational trade-offs…

计算复杂性 · 计算机科学 2021-07-06 Cyrus Rashtchian , David P. Woodruff , Peng Ye , Hanlin Zhu

Although quantum correlations in a quantum system are characterized by the evolving quantities (which are entanglement and discord usually), we reveal such basis (i.e. the set of virtual particles) for the representation of the density…

量子物理 · 物理学 2015-02-11 E. B. Fel'dman , A. I. Zenchuk

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…

量子物理 · 物理学 2026-03-20 Satyaki Manna , Ankush Pandit , Debashis Saha

Variational inequalities are a broad and flexible class of problems that includes minimization, saddle point, and fixed point problems as special cases. Therefore, variational inequalities are used in various applications ranging from…

最优化与控制 · 数学 2024-04-02 Aleksandr Beznosikov , Martin Takáč , Alexander Gasnikov

We address the recently posed question as to whether the nonlocality of a single member of an entangled pair of spin $1/2$ particles can be shared among multiple observers on the other wing who act sequentially and independently of each…

量子物理 · 物理学 2016-05-02 Shiladitya Mal , A. S. Majumdar , Dipankar Home

We show that quantum entanglement can be used as a substitute for communication when the goal is to compute a function whose input data is distributed among remote parties. Specifically, we show that, for a particular function among three…

量子物理 · 物理学 2009-10-30 Richard Cleve , Harry Buhrman

Quantum entanglement, perhaps the most non-classical manifestation of quantum information theory, cannot be used to transmit information between remote parties. Yet, it can be used to reduce the amount of communication required to process a…

量子物理 · 物理学 2015-06-29 Gilles Brassard , Anne Broadbent , Alain Tapp

The communication complexity of many fundamental problems reduces greatly when the communicating parties share randomness that is independent of the inputs to the communication task. Natural communication processes (say between humans)…

计算复杂性 · 计算机科学 2024-01-24 Clément L. Canonne , Venkatesan Guruswami , Raghu Meka , Madhu Sudan

Two parties observing correlated random variables seek to run an interactive communication protocol. How many bits must they exchange to simulate the protocol, namely to produce a view with a joint distribution within a fixed statistical…

信息论 · 计算机科学 2016-02-01 Himanshu Tyagi , Shaileshh Venkatakrishnan , Pramod Viswanath , Shun Watanabe

Secret sharing allows three or more parties to share secret information which can only be decrypted through collaboration. It complements quantum key distribution as a valuable resource for securely distributing information. Here we take…

量子物理 · 物理学 2020-07-16 Michael de Oliveira , Isaac Nape , Jonathan Pinnell , Najmeh TabeBordbar , Andrew Forbes

What can we learn about entanglement between individual particles in macroscopic samples by observing only the collective properties of the ensembles? Using only a few experimentally feasible collective properties, we establish an…

量子物理 · 物理学 2007-05-23 Johannes Kofler , Caslav Brukner

We show that the communication cost of quantum broadcast channel simulation under free entanglement assistance between the sender and the receivers is asymptotically characterized by an efficiently computable single-letter formula in terms…

量子物理 · 物理学 2023-05-05 Hao-Chung Cheng , Li Gao , Mario Berta

This paper studies the complexity of distributed construction of purely additive spanners in the CONGEST model. We describe algorithms for building such spanners in several cases. Because of the need to simultaneously make decisions at far…

数据结构与算法 · 计算机科学 2016-07-20 Keren Censor-Hillel , Telikepalli Kavitha , Ami Paz , Amir Yehudayoff

Losses are one of the main bottlenecks for the distribution of entanglement in quantum networks, which can be overcome by the implementation of quantum repeaters. The most basic form of a quantum repeater chain is the swap ASAP repeater…

量子物理 · 物理学 2025-05-21 Kenneth Goodenough , Tim Coopmans , Don Towsley

Finding exponential separation between quantum and classical information tasks is like striking gold in quantum information research. Such an advantage is believed to hold for quantum computing but is proven for quantum communication…

Classical computation relies heavily on information manipulation. Each component of a hardware needs to communicate with others, and this is done by encoding information into strings of bits and application of logical operations. When…

量子物理 · 物理学 2026-05-12 Eduardo K. Soares