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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…

A relational bipartite communication problem is presented that has an efficient quantum simultaneous-messages protocol, but no efficient classical two-way protocol.

计算复杂性 · 计算机科学 2022-04-05 Dmytro Gavinsky

This work addresses two problems in the context of two-party communication complexity of functions. First, it concludes the line of research, which can be viewed as demonstrating qualitative advantage of quantum communication in the three…

计算复杂性 · 计算机科学 2022-04-05 Dmytro Gavinsky

We study quantum communication protocols, in which the players' storage starts out in a state where one qubit is in a pure state, and all other qubits are totally mixed (i.e. in a random state), and no other storage is available (for…

量子物理 · 物理学 2020-01-01 Hartmut Klauck , Debbie Lim

The communication complexity of a quantum channel is the minimal amount of classical communication required for classically simulating a process of state preparation, transmission through the channel and subsequent measurement. It…

量子物理 · 物理学 2012-09-14 Alberto Montina

Quantum network is a set of nodes connected with channels, through which the nodes communicate photons and classical information. Classical structural complexity of a quantum network may be defined through its physical structure, i.e.…

量子物理 · 物理学 2016-06-20 Michael Siomau

In some scenarios there are ways of conveying information with many fewer, even exponentially fewer, qubits than possible classically. Moreover, some of these methods have a very simple structure--they involve only few message exchanges…

量子物理 · 物理学 2018-03-22 Hartmut Klauck , Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

Quantum mechanics allows operations to be in indefinite causal order. Recently there have been active discussions on enhanced communication strategies through exotic causal structures. In light of this, through the process matrix formalism,…

量子物理 · 物理学 2021-04-21 Kaumudibikash Goswami , Fabio Costa

One of the most intriguing facts about communication using quantum states is that these states cannot be used to transmit more classical bits than the number of qubits used, yet there are ways of conveying information with exponentially…

量子物理 · 物理学 2007-05-23 Ashwin Nayak , Amnon Ta-Shma , David Zuckerman

Many quantum algorithms can be analyzed in a query model to compute Boolean functions where input is given by a black box. As in the classical version of decision trees, different kinds of quantum query algorithms are possible: exact,…

量子物理 · 物理学 2012-03-24 Alina Dubrovska Vasilieva

We give the first exponential separation between quantum and classical multi-party communication complexity in the (non-interactive) one-way and simultaneous message passing settings. For every k, we demonstrate a relational communication…

量子物理 · 物理学 2022-03-29 Dmytro Gavinsky , Pavel Pudlák

Classical and quantum physics provide fundamentally different predictions about experiments with separate observers that do not communicate, a phenomenon known as quantum nonlocality. This insight is a key element of our present…

量子物理 · 物理学 2017-02-17 Jonatan Bohr Brask , Rafael Chaves

A process of preparation, transmission and subsequent projective measurement of a qubit can be simulated by a classical model with only two bits of communication and some amount of shared randomness. However no model for n qubits with a…

量子物理 · 物理学 2011-12-30 Alberto Montina

In this paper the Neciporuk method for proving lower bounds on the size of Boolean formulae is reformulated in terms of one-way communication complexity. We investigate the scenarios of probabilistic formulae, nondeterministic formulae, and…

计算复杂性 · 计算机科学 2007-05-23 Hartmut Klauck

The quantum version of communication complexity allows the two communicating parties to exchange qubits and/or to make use of prior entanglement (shared EPR-pairs). Some lower bound techniques are available for qubit communication…

计算复杂性 · 计算机科学 2007-05-23 Harry Buhrman , Ronald de Wolf

We introduce a class of communication tests where the task is to communicate partial ignorance by means of a physical system. We present a full characterization of the implementations of these tests in the qubit case and partial results for…

量子物理 · 物理学 2019-10-04 Teiko Heinosaari , Oskari Kerppo

We present a simple and general simulation technique that transforms any black-box quantum algorithm (a la Grover's database search algorithm) to a quantum communication protocol for a related problem, in a way that fully exploits the…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Richard Cleve , Avi Wigderson

We establish fundamental and general techniques for formal verification of quantum protocols. Quantum protocols are novel communication schemes involving the use of quantum-mechanical phenomena for representation, storage and transmission…

量子物理 · 物理学 2007-05-23 Simon Gay , Rajagopal Nagarajan , Nikolaos Papanikolaou

Quantum correlations provide dramatic advantage over the corresponding classical resources in several communication tasks. However a broad class of probabilistic theories exists that attributes greater success than quantum theory in many of…

量子物理 · 物理学 2020-11-09 Sutapa Saha , Some Sankar Bhattacharya , Tamal Guha , Saronath Halder , Manik Banik

In order to perform Quantum Cryptography procedures it is often essencial to ensure that the parties of the communication are authentic. Such task is accomplished by quantum authentication protocols which are distributed algorithms based on…

信息论 · 计算机科学 2011-05-27 Elloá B. Guedes , Francisco Marcos de Assis