Multisetting Greenberger-Horne-Zeilinger theorem

Ryu, Junghee; Lee, Changhyoup; Yin, Zhi; Rahaman, Ramij; Angelakis, Dimitris G.; Lee, Jinhyoung; Żukowski, Marek

doi:10.1103/physreva.89.024103

Cited by 22 publications

(19 citation statements)

References 35 publications

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“…We show such a multigraph for the W state |W 4 in Fig. 4A 6 If every pair of vertices is connected with edges exactly once in a graph, we call such a graph as a complete graph. A complete graph with n vertices is denoted as Kn.…”

Section: Generation Of Dicke Statesmentioning

confidence: 99%

“…Increasing the number of involved degrees of freedom in the entanglement significantly increases the number of different possible states and the complexity of studying them. For example, the question about all-versus-nothing violations of high-dimensional GHZ states has only been understood in 2014 [6,7], and these states have only been experimentally implemented in the very recent past [8]. High-dimensional and multipartite entanglement can lead to new, asymmetric types of quantum correlations which are not seen in any qubit system [9,10].…”

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confidence: 99%

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Quantum experiments and graphs. III. High-dimensional and multiparticle entanglement

Chen

Zeilinger

et al. 2019

Phys. Rev. A

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Quantum entanglement plays an important role in quantum information processes, such as quantum computation and quantum communication. Experiments in laboratories are unquestionably crucial to increase our understanding of quantum systems and inspire new insights into future applications. However, there are no general recipes for the creation of arbitrary quantum states with many particles entangled in high dimensions. Here, we exploit a recent connection between quantum experiments and graph theory and answer this question for a plethora of classes of entangled states. We find experimental setups for Greenberger-Horne-Zeilinger states, W states, general Dicke states, and asymmetrically high-dimensional multipartite entangled states. This result sheds light on the producibility of arbitrary quantum states using photonic technology with probabilistic pair sources and allows us to understand the underlying technological and fundamental properties of entanglement. *

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Section: Generation Of Dicke Statesmentioning

confidence: 99%

mentioning

confidence: 99%

Quantum experiments and graphs. III. High-dimensional and multiparticle entanglement

Chen

Zeilinger

et al. 2019

Phys. Rev. A

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“…This may be the most interesting case experimentally. It is singled out here because its GHZ contradictions require three local measurement bases [21,28]. So, while we consider the same three GHZ states (1), the concurrent operator sets must now incorporate a third local basis, a natural choice being given by rotation of individual X factors through 4π/9: 2πk/9.…”

Section: The Case Of N =mentioning

confidence: 99%

Mermin inequalities for perfect correlations in many-qutrit systems

Lawrence

2017

Phys. Rev. A

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The existence of GHZ contradictions in many-qutrit systems was a long-standing theoretical question until it's (affirmative) resolution in 2013. To enable experimental tests, we derive Mermin inequalities from concurrent observable sets identified in those proofs. These employ a weighted sum of observables, called M, in which every term has the chosen GHZ state as an eigenstate with eigenvalue unity. The quantum prediction for M is then just the number of concurrent observables, and this grows asymptotically as 2^N/3 as the number of qutrits (N) goes to infinity. The maximum classical value falls short for every N, so that the quantum to classical ratio (starting at 1.5 when N=3), diverges exponentially (~ 1.064^N) as N goes to infinity, where the system is in a Schroedinger cat-like superposition of three macroscopically distinct states.Comment: 12 pages, two figure

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“…With respect to the 2014 HFLAV report, we removed the Belle result on τ − → K 0 S (particles) − ν τ [6] because the published information does not permit a reliable determination of the correlations with the other results in the same paper. The inclusion of that result made the correlation matrix of the 2014 fit results non positive-definite.…”

Section: Branching Fractions Fitsmentioning

confidence: 99%