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This article discusses the essential difficulties in developing model-checking techniques for quantum systems that are never present in model checking classical systems. It further reviews some early researches on checking quantum…

量子物理 · 物理学 2018-07-26 Mingsheng Ying , Yuan Feng

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

A major open problem in communication complexity is whether or not quantum protocols can be exponentially more efficient than classical protocols on _total_ Boolean functions in the two-party interactive model. The answer appears to be…

量子物理 · 物理学 2008-04-14 Yaoyun Shi , Yufan Zhu

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

Communication complexity is the amount of communication needed to compute a function when the function inputs are distributed over multiple parties. In its simplest form, one-way communication complexity, Alice and Bob compute a function…

计算复杂性 · 计算机科学 2023-05-24 Naresh Goud Boddu , Rahul Jain , Han-Hsuan Lin

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

Due to their compatibility to existing telecom technology, continuous variable (CV) weak coherent state protocols are promising candidates for a broad deployment of quantum key distribution (QKD) technology. We demonstrate how an existing…

We consider the communication complexity of the binary inner product function in a variation of the two-party scenario where the parties have an a priori supply of particles in an entangled quantum state. We prove linear lower bounds for…

量子物理 · 物理学 2008-02-03 Richard Cleve , Wim van Dam , Michael Nielsen , Alain Tapp

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…

计算复杂性 · 计算机科学 2010-09-21 Bo'az Klartag , Oded Regev

Quantum resources, such as entanglement or quantum communication, offer significant communication advantages in information processing. We develop an operational framework for realizing these communication advantages in resource-constrained…

量子物理 · 物理学 2026-04-16 Brian Doolittle , Felix Leditzky , Eric Chitambar

In this letter we show that communication when restricted to a single information carrier (i.e. single particle) and finite speed of propagation is fundamentally limited for classical systems. On the other hand, quantum systems can surpass…

量子物理 · 物理学 2018-02-22 Flavio Del Santo , Borivoje Dakić

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

We prove a general lower bound on the bounded-error entanglement-assisted quantum communication complexity of Boolean functions. The bound is based on the concept that any classical or quantum protocol to evaluate a function on distributed…

量子物理 · 物理学 2011-11-09 Ashley Montanaro , Andreas Winter

We consider highly inaccurate measurements made on classical stochastic and quantum systems. In the quantum case such a \e{weak} measurement preserves coherence between the system's alternatives. We demonstrate that in both cases the…

量子物理 · 物理学 2026-03-16 D. Sokolovski , D. Alonso , S. Brouard

The goal of demonstrating a quantum advantage with currently available experimental systems is of utmost importance in quantum information science. While this remains elusive for quantum computation, the field of communication complexity…

量子物理 · 物理学 2019-09-16 Niraj Kumar , Iordanis Kerenidis , Eleni Diamanti

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

A recent method to certify the classical capacity of quantum communication channels is applied for general damping channels in finite dimension. The method compares the mutual information obtained by coding on the computational and a…

量子物理 · 物理学 2020-10-23 Chiara Macchiavello , Massimiliano F. Sacchi , Tito Sacchi

We initiate the study of quantifying nonlocalness of a bipartite measurement by the minimum amount of classical communication required to simulate the measurement. We derive general upper bounds, which are expressed in terms of certain…

量子物理 · 物理学 2011-11-04 Yaoyun Shi , Yufan Zhu

We study the problem of decoding classical information encoded on quantum states at the output of a quantum channel, with particular focus on increasing the communication rates towards the maximum allowed by Quantum Mechanics. After a brief…

量子物理 · 物理学 2017-10-25 Matteo Rosati

We define "coherent communication" in terms of a simple primitive, show it is equivalent to the ability to send a classical message with a unitary or isometric operation, and use it to relate other resources in quantum information theory.…

量子物理 · 物理学 2009-11-10 Aram W. Harrow