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The ZX-calculus is a graphical language for suitably represented tensor networks, called ZX-diagrams. Calculations are performed by transforming ZX-diagrams with rewrite rules. The ZX-calculus has found applications in reasoning about…

Computational Complexity · Computer Science 2022-06-22 Alex Townsend-Teague , Konstantinos Meichanetzidis

We describe a quantum cryptography protocol with up to twenty four-dimensional ($\mathcal{D} =4$) states generated by a polarization-, phase- and time-encoding transmitter. This protocol can be experimentally realized with existing…

Quantum Physics · Physics 2010-05-05 W. T. Buttler , S. K. Lamoreaux , J. R. Torgerson

Superdense coding, the application of entanglement to boost classical communication capacity, is a cornerstone of quantum communication. In this paper, we propose a high-dimensional superdense coding protocol using energy-time entangled…

We discuss and generalize multi-particle entanglement based on statistical correlations using Ursell-Mayer type of cluster coefficients. Cluster coefficients are used to distinguish different, independent entangled systems as well as those…

Quantum Physics · Physics 2009-11-15 Atul Kumar , Mangala Sunder Krishnan

Establishing a fully functional quantum internet relies on the efficient allocation of multipartite entangled states, which enables advanced quantum communication protocols, secure multipartite quantum key distribution, and distributed…

Quantum Physics · Physics 2024-09-26 Yu-Ao Chen , Xia Liu , Chenghong Zhu , Lei Zhang , Junyu Liu , Xin Wang

This paper presents a novel hybrid Quantum Key Distribution ,QKD, protocol that combines entanglement based and non entanglement based approaches to optimize security and the number of generated keys. We introduce a dynamic system that…

A set of protocols for teleportation and dense coding tasks with the use of a N particle quantum channel, presented by entangled states of the GHZ class, is introduced, when N>2. Using a found representation for the multiparticle entangled…

Quantum Physics · Physics 2007-05-23 V. N. Gorbachev , A. I. Trubilko , A. I. Zhiliba , E. S. Yakovleva

We investigate schemes for quantum secret sharing and quantum dense coding via tripartite entangled states. We present a scheme for sharing classical information via entanglement swapping using two tripartite entangled GHZ states. In order…

Quantum Physics · Physics 2009-11-11 Zheng-Yuan Xue , You-Min Yi , Zhuo-Liang Cao

The compositional techniques of categorical quantum mechanics are applied to analyse 3-qubit quantum entanglement. In particular the graphical calculus of complementary observables and corresponding phases due to Duncan and one of the…

Logic in Computer Science · Computer Science 2011-03-17 Bob Coecke , Bill Edwards

Quantum key distribution (QKD) enables two parties to establish a secret key over a potentially hostile channel by exchanging photonic quantum states, relying on the fact that it is impossible for an eavesdropper to tap the quantum channel…

Quantum Physics · Physics 2011-10-24 Jacob Mower , F. N. C. Wong , Jeff H. Shapiro , Dirk Englund

ZX-Calculus is a versatile graphical language for quantum computation equipped with an equational theory. Getting inspiration from Geometry of Interaction, in this paper we propose a token-machine-based asynchronous model of both pure…

Logic in Computer Science · Computer Science 2022-08-04 Kostia Chardonnet , Benoît Valiron , Renaud Vilmart

Recently, Hwang et al. [Eur. Phys. J. D. 61, 785 (2011)] and Yuan et al. [Int. J. Theo. Phys. 50, 2403 (2011)] have proposed two efficient protocols of secure quantum communication using 3-qubit and 4-qubit symmetric W state respectively.…

Quantum Physics · Physics 2015-06-04 Chitra Shukla , Anindita Banerjee , Anirban Pathak

High-dimensional entanglement promises to increase the information capacity of photons and is now routinely generated exploiting spatio-temporal degrees of freedom of single photons. A curious feature of these systems is the possibility to…

Quantum Physics · Physics 2021-03-17 Mirdit Doda , Marcus Huber , Gláucia Murta , Matej Pivoluska , Martin Plesch , Chrysoula Vlachou

We present a quantum hyperdense coding protocol with hyperentanglement in polarization and spatial-mode degrees of freedom of photons first and then give the details for a quantum secure direct communication (QSDC) protocol based on this…

Quantum Physics · Physics 2011-03-11 Tie-Jun Wang , Tao Li , Fang-Fang Du , Fu-Guo Deng

True tripartite entanglement of the state of a system of three qubits can be classified on the basis of stochastic local operations and classical communications (SLOCC). Such states can be classified in two categories: GHZ states and…

Quantum Physics · Physics 2015-06-26 Pankaj Agrawal , Arun Pati

Distributed computing, involving multiple servers collaborating on designated computations, faces a critical challenge in optimizing inter-server communication -- an issue central to the study of communication complexity. Quantum resources…

The ZX-Calculus is a graphical language for diagrammatic reasoning in quantum mechanics and quantum information theory. It comes equipped with an equational presentation. We focus here on a very important property of the language:…

Quantum Physics · Physics 2023-06-22 Emmanuel Jeandel , Simon Perdrix , Renaud Vilmart

We investigate the usefulness of different classes of genuine quadripartite entangled states as quantum resources for teleportation and superdense coding. We examine the possibility of teleporting unknown one, two and three qubit states. We…

Quantum Physics · Physics 2007-05-23 B. Pradhan , Pankaj Agrawal , A. K. Pati

The Greenberger-Horne-Zeilinger (GHZ) entanglement, originally introduced to uncover the extreme violation of local realism against quantum mechanics, is an important resource for multiparty quantum communication tasks. But the low…

Quantum Physics · Physics 2015-03-05 Yao Fu , Hua-Lei Yin , Teng-Yun Chen , Zeng-Bing Chen

Multipartite entangled states possess a number of non-intuitive properties, making them a useful resource for various quantum information-processing tasks. The three-qubit W-state is one such example where every state is robust to…

Quantum Physics · Physics 2026-01-01 Souvik Chatterjee , Prasenjit Deb , Chandan Datta , Pankaj Agrawal