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

量子物理 · 物理学 2013-12-24 A. Montina , M. Pfaffhauser , S. Wolf

We study the amount of classical communication needed for distributed quantum information processing. In particular, we introduce the concept of "remote preparation" of a quantum state. Given an ensemble of states, Alice's task is to help…

量子物理 · 物理学 2009-10-31 Hoi-Kwong Lo

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

A two-party quantum communication process with classical inputs and outcomes can be simulated by replacing the quantum channel with a classical one. The minimal amount of classical communication required to reproduce the statistics of the…

量子物理 · 物理学 2016-04-20 A. Hansen , A. Montina , S. Wolf

We study the prepare-and-measure scenario in which Alice transmits a quantum system to Bob, who then performs a quantum measurement. The quantum state of the system is unknown to Bob, and the measurement is unknown to Alice. It has recently…

量子物理 · 物理学 2026-03-03 Sebastian Schlösser , Matthias Kleinmann

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

We consider the process consisting of preparation, transmission through a quantum channel, and subsequent measurement of quantum states. The communication complexity of the channel is the minimal amount of classical communication required…

量子物理 · 物理学 2014-11-21 Alberto Montina , Stefan Wolf

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

In most communication scenarios, sending a symbol encoded in a quantum state requires spending resources such as energy, which can be quantified by a cost of communication. A standard approach in this context is to quantify the performance…

量子物理 · 物理学 2017-10-09 Marcin Jarzyna

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

A fundamental objective in quantum information science is to determine the cost in classical resources of simulating a particular quantum system. The classical simulation cost is quantified by the signaling dimension which specifies the…

量子物理 · 物理学 2022-03-29 Brian Doolittle , Eric Chitambar

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…

量子物理 · 物理学 2007-05-23 Harry Buhrman , Richard Cleve , Wim van Dam

The most trivial way to simulate classically the communication of a quantum state is to transmit the classical description of the quantum state itself. However, this requires an infinite amount of classical communication if the simulation…

量子物理 · 物理学 2014-01-07 Alberto Montina

Understanding the classical communication cost of simulating a quantum channel is a fundamental problem in quantum information theory, which becomes even more intriguing when considering the role of non-locality in quantum information…

量子物理 · 物理学 2025-07-29 Chengkai Zhu , Xuanqiang Zhao , Xin Wang

We investigate the amount of communication that must augment classical local hidden variable models in order to simulate the behaviour of entangled quantum systems. We consider the scenario where a bipartite measurement is given from a set…

量子物理 · 物理学 2009-10-31 Gilles Brassard , Richard Cleve , Alain Tapp

We investigate whether certain non-classical communication channels can be simulated by a classical channel with a given number of states and a given `amount' of noise. It is proved that any noisy quantum channel can be simulated by a…

信息论 · 计算机科学 2022-06-29 Péter E. Frenkel

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

The amount of information transferred during standard quantum teleportation or remote state preparation is equal to the preparation information of the transmitted state, rather than the classical communication required by respective…

量子物理 · 物理学 2007-05-23 R. Srikanth

This paper surveys the field of quantum communication complexity. Some interesting recent results are collected concerning relations to classical communication, lower bound methods, one-way communication, and applications of quantum…

量子物理 · 物理学 2007-05-23 Hartmut Klauck

We show that any classical two-way communication protocol with shared randomness that can approximately simulate the result of applying an arbitrary measurement (held by one party) to a quantum state of $n$ qubits (held by another), up to…

量子物理 · 物理学 2019-07-03 Ashley Montanaro
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