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We give a basic overview of computational complexity, query complexity, and communication complexity, with quantum information incorporated into each of these scenarios. The aim is to provide simple but clear definitions, and to highlight…

量子物理 · 物理学 2016-11-23 Richard Cleve

Quantum information processing is at the crossroads of physics, mathematics and computer science. It is concerned with that we can and cannot do with quantum information that goes beyond the abilities of classical information processing…

量子物理 · 物理学 2009-11-10 Gilles Brassard , Anne Broadbent , Alain Tapp

Quantum information processing exploits the quantum nature of information. It offers fundamentally new solutions in the field of computer science and extends the possibilities to a level that cannot be imagined in classical communication…

量子物理 · 物理学 2012-10-02 Laszlo Gyongyosi , Sandor Imre

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…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Wim van Dam , Peter Hoyer , Alain Tapp

Sender and receiver can control noisy channels by means of the resources they own, that is local operations, potentially correlated using classical communication, and entangled pairs shared between them. Using the Choi-Jamiolkowski…

量子物理 · 物理学 2008-11-20 Raffaele Romano , Peter van Loock

Communication complexity problems (CCPs) are tasks in which separated parties attempt to compute a function whose inputs are distributed among the parties. Their communication is limited so that not all inputs can be sent. We show that…

量子物理 · 物理学 2017-04-12 Armin Tavakoli , Marek Zukowski

Quantum information processing exploits the quantum nature of information. It offers fundamentally new solutions in the field of computer science and extends the possibilities to a level that cannot be imagined in classical communication…

量子物理 · 物理学 2018-01-09 Laszlo Gyongyosi , Sandor Imre , Hung Viet Nguyen

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

In this paper we address the issue of universal or robust communication over quantum channels. Specifically, we consider memoryless communication scenario with channel uncertainty which is an analog of compound channel in classical…

量子物理 · 物理学 2009-11-13 I. Bjelakovic , H. Boche , J. Noetzel

The concepts of quantum correlation complexity and quantum communication complexity were recently proposed to quantify the minimum amount of resources needed in generating bipartite classical or quantum states in the single-shot setting.…

量子物理 · 物理学 2014-07-21 Rahul Jain , Zhaohui Wei , Penghui Yao , Shengyu Zhang

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…

量子物理 · 物理学 2014-01-17 Alberto Montina , Stefan Wolf

We study a new type of separation between quantum and classical communication complexity which is obtained using quantum protocols where all parties are efficient, in the sense that they can be implemented by small quantum circuits with…

量子物理 · 物理学 2019-11-07 Uma Girish , Ran Raz , Avishay Tal

The long-standing problem of quantum information processing is to remove the classical channel from quantum communication. Introducing a new information processing technique, it is discussed that both insecure and secure quantum…

量子物理 · 物理学 2007-05-23 Arindam Mitra

Communication complexity is a fundamental aspect of information science, concerned with the amount of communication required to solve a problem distributed among multiple parties. The standard quantification of one-way communication…

量子物理 · 物理学 2024-12-25 Satyaki Manna , Anubhav Chaturvedi , Debashis Saha

In this work we design a specific simulation tool for quantum channels which is based on the use of a control system. This allows us to simulate an average quantum channel which is expressed in terms of an ensemble of channels, even when…

量子物理 · 物理学 2018-12-19 Stefano Pirandola , Riccardo Laurenza , Leonardo Banchi

We define a new notion of information cost for quantum protocols, and a corresponding notion of quantum information complexity for bipartite quantum channels, and then investigate the properties of such quantities. These are the fully…

量子物理 · 物理学 2014-04-16 Dave Touchette

By considering quantum computation as a communication process, we relate its efficiency to a communication capacity. This formalism allows us to rederive lower bounds on the complexity of search algorithms. It also enables us to link the…

量子物理 · 物理学 2009-11-06 S. Bose , L. Rallan , V. Vedral

I show that a simple multi-party communication task can be performed more efficiently with quantum communication than with classical communication, even with low detection efficiency $\eta$. The task is a communication complexity problem in…

量子物理 · 物理学 2009-11-07 Ernesto F. Galvao

The simplest building blocks for quantum computations are the qubit-qubit quantum channels. In this paper, we analyze the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of…

数学物理 · 物理学 2023-07-24 Attila Lovas , Attila Andai

Communication complexity is an area of classical computer science which studies how much communication is necessary to solve various distributed computational problems. Quantum information processing can be used to reduce the amount of…

量子物理 · 物理学 2010-07-20 Ivan Fialík