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Related papers: Generalized Greenberger-Horne-Zeilinger arguments …

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The Greenberger-Horne-Zeilinger (GHZ) puzzle has been used to study quantum nonlocality and provide an all-or-nothing, no-go theorem for local hidden-variable models. Recent experiments using coincident-detected entangled photons prepared…

Quantum Physics · Physics 2021-04-30 Brian R. La Cour

The multipartite Greenberger-Horne-Zeilinger (GHZ) state is a paradigmatic example of a highly entangled multipartite states with distinct quantum features. However, the GHZ state is very sensitive to generic decoherence processes, where…

Quantum Physics · Physics 2012-06-01 Florian Fröwis , Wolfgang Dür

GHZ paradoxes are presented for all even numbers of qubits from four up. They are obtained from proofs of the Kochen-Specker (KS) theorem by showing how the assumption of noncontextuality can be justified on the basis of locality. The…

Quantum Physics · Physics 2015-06-11 Mordecai Waegell , P. K. Aravind

The Greenberger-Horne-Zeilinger (GHZ) argument provides an all-or-nothing contradiction between quantum mechanics and local-realistic theories. In its original formulation, GHZ investigated three and four particles entangled in two…

Quantum Physics · Physics 2018-12-14 Manuel Erhard , Mehul Malik , Mario Krenn , Anton Zeilinger

The generalized n-qubit Greenberger-Horne-Zeilinger (GHZ) states and their local unitary equivalents are the only pure states of n qubits that are not uniquely determined (among arbitrary states, pure or mixed) by their reduced density…

Quantum Physics · Physics 2014-08-26 Scott N. Walck , David W. Lyons

Nonlocality is the defining feature of quantum entanglement. Entangled states with multiple particles are of crucial importance in fundamental tests of quantum physics as well as in many quantum information tasks. One of the archetypal…

Quantum Physics · Physics 2024-04-22 Leizhen Chen , Bochi Wu , Liangliang Lu , Kai Wang , Yanqing Lu , Shining Zhu , Xiao-Song Ma

The Greenberger-Horne-Zeilinger (GHZ) effect provides an example of quantum correlations that cannot be explained by classical local hidden variables. This paper reports on the experimental realization of GHZ correlations using nuclear…

Quantum Physics · Physics 2009-10-31 Richard J. Nelson , David G. Cory , Seth Lloyd

Using simple quantum analysis we describe the correlations of Greenberger-Horne-Zeilinger (GHZ) states by the use of Hilbert-Schmidt (HS) representation. Our conclusion is that while these states disprove local-realism they do not prove any…

Quantum Physics · Physics 2009-11-10 Y. Ben-Aryeh

The parity game is an example of a nonlocal game: by sharing a Greenberger-Horne-Zeilinger (GHZ) state before playing this game, the players can win with a higher probability than is allowed by classical physics. The GHZ state of $N$ qubits…

Quantum Physics · Physics 2023-01-18 Vir B. Bulchandani , Fiona J. Burnell , S. L. Sondhi

Contextuality is a hallmark feature of the quantum theory that captures its incompatibility with any noncontextual hidden-variable model. The Greenberger--Horne--Zeilinger (GHZ)-type paradoxes are proofs of contextuality that reveal this…

Cluster states are multi-particle entangled states with special entanglement properties particularly suitable for quantum computation. It has been shown that cluster states can exhibit Greenberger-Horne-Zeilinger (GHZ)-type non-locality…

Quantum Physics · Physics 2009-11-13 X. -Q. Zhou , C. -Y. Lu , W. -B. Gao , J. Zhang , Z. -B. Chen , T. Yang , J. -W. Pan

In quantum theory, no-go theorems are important as they rule out the existence of a particular physical model under consideration. For instance, the Greenberger-Horne-Zeilinger (GHZ) theorem serves as a no-go theorem for the nonexistence of…

Quantum Physics · Physics 2016-07-12 Jing-Ling Chen , Hong-Yi Su , Zhen-Peng Xu , Arun Kumar Pati

The $N$-qubit Greenberger-Horne-Zeilinger (GHZ) states are the maximally entangled states of $N$ qubits, which have had many important applications in quantum information processing, such as quantum key distribution and quantum secret…

Quantum Physics · Physics 2021-11-03 Xing-Yan Fan , Jie Zhou , Hui-Xian Meng , Chunfeng Wu , Arun Kumar Pati , Jing-Ling Chen

Contextuality provides one of the fundamental characterizations of quantum phenomena, and can be used as a resource in lots of quantum information processing. In this paper, we summarize and derive some equivalent noncontextual inequalities…

Quantum Physics · Physics 2022-01-20 Shihao Ru , Weidong Tang , Yunlong Wang , Feiran Wang , Pei Zhang , Fuli li

The concatenated Greenberger-Horne-Zeilinger (C-GHZ) state is a new type of multipartite entangled state, which has potential application in future quantum information. In this paper, we propose a protocol of constructing arbitrary C-GHZ…

Quantum Physics · Physics 2016-09-28 Rui Guo , Lan Zhou , Shi-Pu Gu , Xing-Fu Wang , Yu-Bo Sheng

The multipartite Greenberger-Horne-Zeilinger (GHZ) states are indispensable elements for various quantum information processing tasks. Here we put forward two deterministic proposals to dissipatively prepare tripartite GHZ states in a…

Quantum Physics · Physics 2020-04-27 D. X. Li , H. W. Xiao , C. Yang , X. Q. Shao

We investigate local contents in $N$-qubit generalized Greenberger, Horne, and Zeilinger (GHZ) states. We suggest a decomposition for correlations in the GHZ states into a nonlocal and fully local part, and find a lower and upper bound on…

Quantum Physics · Physics 2013-05-29 Chang-liang Ren , Mahn-soo Choi

We present a brief historical introduction to the topic of Bell's theorem. Next we present the surprising features of the three particle Greenberger-Horne-Zeilinger (GHZ) states. Finally we shall present a method of analysis of the GHZ…

Quantum Physics · Physics 2007-05-23 D. Kaszlikowski , M. Zukowski

A hidden-variable model for quantum-mechanical spin, as represented by the Pauli spin operators, is proposed for systems illustrating the well-known no-hidden-variables arguments by Peres and Mermin (1990) and by Greenberger, Horne, and…

Quantum Physics · Physics 2022-07-01 Carsten Held

We broadly generalise Mermin-type arguments on GHZ states, and we provide exact group-theoretic conditions for non-locality to be achieved. Our results are of interest in quantum foundations, where they yield a new hierarchy of…

Quantum Physics · Physics 2023-06-22 Stefano Gogioso , William Zeng