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Transmission of classical information using quantum objects such as polarized photons is studied. The classical (Shannon) channel capacity and its relation to quantum (von Neumann) channel capacity is investigated for various receiver…

Quantum Physics · Physics 2007-05-23 Göran Einarsson

We consider a variation of the multi-party communication complexity scenario where the parties are supplied with an extra resource: particles in an entangled quantum state. We show that, although a prior quantum entanglement cannot be used…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Richard Cleve , Wim van Dam

As small quantum computers are becoming available on different physical platforms, a benchmarking task known as cross-platform verification has been proposed that aims to estimate the fidelity of states prepared on two quantum computers.…

Quantum Physics · Physics 2022-06-14 Anurag Anshu , Zeph Landau , Yunchao Liu

We consider the communication complexity of a number of distributed optimization problems. We start with the problem of solving a linear system. Suppose there is a coordinator together with $s$ servers $P_1, \ldots, P_s$, the $i$-th of…

Data Structures and Algorithms · Computer Science 2019-11-01 Santosh S. Vempala , Ruosong Wang , David P. Woodruff

In STOC 1999, Raz presented a (partial) function for which there is a quantum protocol communicating only $O(\log n)$ qubits, but for which any classical (randomized, bounded-error) protocol requires $\poly(n)$ bits of communication. That…

Computational Complexity · Computer Science 2010-09-21 Bo'az Klartag , Oded Regev

Determining the randomized (or distributional) communication complexity of disjointness is a central problem in communication complexity, having roots in the foundational work of Babai, Frankl, and Simon in the 1980s and culminating in the…

Computational Complexity · Computer Science 2026-03-23 Zach Hunter , Aleksa Milojević , Benny Sudakov , Istvan Tomon

We prove new bounds on the quantum communication complexity of the disjointness and equality problems. For the case of exact and non-deterministic protocols we show that these complexities are all equal to n+1, the previous best lower bound…

Quantum Physics · Physics 2017-01-03 Peter Hoyer , Ronald de Wolf

This note presents a quantum protocol for private information retrieval, in the single-server case and with information-theoretical privacy, that has O(\sqrt{n})-qubit communication complexity, where n denotes the size of the database. In…

Quantum Physics · Physics 2021-10-05 François Le Gall

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)…

Computational Complexity · Computer Science 2024-01-24 Clément L. Canonne , Venkatesan Guruswami , Raghu Meka , Madhu Sudan

The process of state preparation, its transmission and subsequent measurement can be classically simulated through the communication of some amount of classical information. Recently, we proved that the minimal communication cost is the…

Quantum Physics · Physics 2014-01-17 Alberto Montina , Stefan Wolf

Presently, classical optical communication systems employing strong laser pulses and quantum key distribution (QKD) systems working at single-photon levels are very different communication modalities. Dedicated devices are commonly required…

Quantum Physics · Physics 2016-11-01 Bing Qi

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

Quantum key distribution, which allows two distant parties to share an unconditionally secure cryptographic key, promises to play an important role in the future of communication. For this reason such technique has attracted many…

In this paper, we theoretically and experimentally analyze sequential processors with limited communication between parts. We compare the expressivity of sequential quantum and classical processors under the same constraints. They consist…

Quantum state verification provides an efficient approach to characterize the reliability of quantum devices for generating certain target states. The figure of merit of a specific strategy is the estimated infidelity $\epsilon$ of the…

Quantum entanglement cannot be used to achieve direct communication between remote parties, but it can reduce the communication needed for some problems. Let each of k parties hold some partial input data to some fixed k-variable function…

Quantum Physics · Physics 2007-05-23 Harry Buhrman , Wim van Dam , Peter Hoyer , Alain Tapp

We study the effect that the amount of correlation in a bipartite distribution has on the communication complexity of a problem under that distribution. We introduce a new family of complexity measures that interpolates between the two…

Computational Complexity · Computer Science 2015-08-25 Ralph C. Bottesch , Dmitry Gavinsky , Hartmut Klauck

In this paper we provide new bounds on classical and quantum distributional communication complexity in the two-party, one-way model of communication. In the classical model, our bound extends the well known upper bound of Kremer, Nisan and…

Information Theory · Computer Science 2008-02-29 Rahul Jain , Shengyu Zhang

Covert communication offers a method to transmit messages in such a way that it is not possible to detect that the communication is happening at all. In this work, we report an experimental demonstration of covert communication that is…

In this paper, we study the feasibility of conducting quantum key distribution (QKD) together with classical communication through the same optical fiber by employing dense-wavelength-division-multiplexing (DWDM) technology at telecom…

Quantum Physics · Physics 2015-05-19 Bing Qi , Wen Zhu , Li Qian , Hoi-Kwong Lo