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For a classical channel, neither the Shannon capacity, nor the sum of conditional probabilities corresponding to the cases of successful transmission can be increased by the use of shared entanglement, or, more generally, a non-signaling…

量子物理 · 物理学 2022-03-09 Péter E. Frenkel , Mihály Weiner

We compare the multipartite entangling and disentangling powers of unitary operators by assessing their ability to generate or eliminate genuine multipartite entanglement. Our findings reveal that while diagonal unitary operators can…

量子物理 · 物理学 2025-05-27 Mrinmoy Samanta , Sudipta Mondal , Aditi Sen De

In quantum teleportation, the role of entanglement has been much discussed. It is known that entanglement is necessary for achieving non-classical teleportation fidelity. Here we focus on the amount of classical communication that is…

量子物理 · 物理学 2013-11-19 Manik Banik , Md. Rajjak Gazi

Quantifying the entanglement generation of a multipartite unitary operation is a key problem in quantum information processing. We introduce the definition of multipartite entangling, assisted entangling, and disentangling power, which is a…

量子物理 · 物理学 2024-10-22 Xinyu Qiu , Zhiwei Song , Lin Chen

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

Since the seminal work of Paturi and Simon \cite[FOCS'84 & JCSS'86]{PS86}, the unbounded-error classical communication complexity of a Boolean function has been studied based on the arrangement of points and hyperplanes. Recently,…

量子物理 · 物理学 2016-05-24 Kazuo Iwama , Harumichi Nishimura , Rudy Raymond , Shigeru Yamashita

We show that quantum entanglement can be used as a substitute for communication when the goal is to compute a function whose input data is distributed among remote parties. Specifically, we show that, for a particular function among three…

量子物理 · 物理学 2009-10-30 Richard Cleve , Harry Buhrman

The power of a quantum circuit is determined through the number of two-qubit entangling gates that can be performed within the coherence time of the system. In the absence of parallel quantum gate operations, this would make the quantum…

量子物理 · 物理学 2021-05-26 Rozhin Yousefjani , Abolfazl Bayat

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

It is shown that with the use of entanglement a specific two party communication task can be done with a systematically smaller expected error than any possible classical protocol could do. The example utilises the very tight correlation…

量子物理 · 物理学 2007-05-23 Lucien Hardy , Wim van Dam

We consider the problem of transmitting classical and quantum information reliably over an entanglement-assisted quantum channel. Our main result is a capacity theorem that gives a three-dimensional achievable rate region. Points in the…

量子物理 · 物理学 2010-08-23 Min-Hsiu Hsieh , Mark M. Wilde

The information capacities and ``distillability'' of a quantum channel are studied in the presence of auxiliary resources. These include prior entanglement shared between the sender and receiver and free classical bits of forward and…

量子物理 · 物理学 2009-11-10 Vittorio Giovannetti

Quantum information processing technology offers several communication strategies, which offer capacity advantages over classical technologies. However, advantages typically arise only in very particular communication scenarios which are of…

量子物理 · 物理学 2024-02-26 Simon Sekavčnik , Janis Nötzel

For any quantum discrete memoryless channel, we define a quantity called quantum entanglement capacity with classical feedback ($E_B$), and we show that this quantity lies between two other well-studied quantities. These two quantities -…

量子物理 · 物理学 2009-11-13 Alan W. Leung

We pose the fundamental question of communication properties of primitives irrespectively of their implementation. To illustrate the idea we introduce the concept of entanglement-swapping boxes, i.e. we consider any quantum operations which…

量子物理 · 物理学 2008-06-19 Andrzej Grudka , Michal Horodecki , Pawel Horodecki , Ryszard Horodecki , Marco Piani

Nonlocal unitary operations can create quantum entanglement between distributed particles, and the quantification of created entanglement is a hard problem. It corresponds to the concepts of entangling and assisted entangling power when the…

量子物理 · 物理学 2016-10-27 Lin Chen , Li Yu

In a variant of communication complexity tasks, two or more separated parties cooperate to compute a function of their local data, using a limited amount of communication. It is known that communication of quantum systems and shared…

量子物理 · 物理学 2015-12-21 Adrien Feix , Mateus Araújo , Časlav Brukner

Entangling and disentangling capacities are the key manifestation of the nonlocal content of a quantum operation. A lot of effort has been put recently into investigating (dis)entangling capacities of unitary operations, but very little is…

量子物理 · 物理学 2007-05-23 Berry Groisman

Despite the conceptual importance of contextuality in quantum mechanics, there is a hitherto limited number of applications requiring contextuality but not entanglement. Here, we show that for any quantum state and observables of…

量子物理 · 物理学 2023-03-07 Shashank Gupta , Debashis Saha , Zhen-Peng Xu , Adán Cabello , A. S. Majumdar

Motivated by recent experiments [Pashkin et al. Nature, \textbf{421}, 823 (2003)] which showed coherent oscillations of two superconducting qubits system, we consider a system of two charge qubits coupled to a common stripline microwave…

量子物理 · 物理学 2009-11-13 Nasser Metwally , Mahamoud Abde-Aty