Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1808.10201 · The European Physical Journal D

Higher dimensional entanglement without correlations

Waldemar Kłobus, Wiesław Laskowski, Tomasz Paterek, Marcin Wieśniak, Harald Weinfurter

Published Feb 1, 2019• 11 citations
arXivHTMLPDF

Abstract

It has been demonstrated both theoretically and experimentally that genuine multipartite entanglement between qubits can exist even in the absence of multipartite correlations. Here, we provide first examples of this effect in higher dimensional systems – qudits. We construct states in which genuine N-partite entanglement between qudits is supported only by correlations involving strictly less than N particles. The construction differs in several aspects from the ones for qubits. The states introduced here are a natural test-bed for candidate quantifiers of genuinely multipartite quantum correlations.

DOI
10.1140/epjd/e2018-90446-6

Related papers

Maximum N -body correlations do not in general imply genuine multipartite entanglement

Christopher Eltschka, Jens Siewert

The existence of correlations between the parts of a quantum system on the one hand, and entanglement between them on the other, are different properties. Yet, one intuitively would identify strong N -party correlations with N -party entanglement in an N -partite quantum state. If the local systems are qubits, this intuition is confirmed: The state with the strongest N -party correlations is the Greenberger-Horne-Zeilinger (GHZ) state, which does have genuine multipartite entanglement. However, for high-dimensional local systems the state with strongest N -party correlations may be a tensor product of Bell states, that is, partially separable. We show this by introducing several novel tools for handling the Bloch representation.

arXiv:1908.04220•Quantum•Feb 10, 2020•22 citations

Genuine Multipartite Entanglement without Multipartite Correlations

Christian Schwemmer, Lukas Knips, Minh C. Tran +4 more

Nonclassical correlations between measurement results make entanglement the essence of quantum physics and the main resource for quantum information applications. Surprisingly, there are n-particle states which do not exhibit n-partite correlations at all but still are genuinely n-partite entangled. We introduce a general construction principle for such states, implement them in a multiphoton experiment and analyze their properties in detail. Remarkably, even without multipartite correlations, these states do violate Bell inequalities showing that there is no classical, i.e., local realistic model describing their properties.

arXiv:1410.2367•Physical Review Letters•May 6, 2015•33 citations

Genuine N -partite entanglement without N -partite correlation functions

Minh C. Tran, Margherita Zuppardo, Anna de Rosier +4 more

A generalized and thorough investigation of entanglement without correlations is presented. The study sheds light on the different properties of systems composed of an even or odd number of qubits, and might help to construct computable measures of multipartite correlation.

arXiv:1704.03385•Physical Review A•Jun 26, 2017•13 citations

Experimentally feasible set of criteria detecting genuine multipartite entanglement in n -qubit Dicke states and in higher-dimensional systems

Marcus Huber, Paul Erker, Hans Schimpf +2 more

We construct a set of criteria detecting genuine multipartite entanglement in arbitrary dimensional multipartite systems. These criteria are optimally suited for detecting multipartite entanglement in $n$-qubit Dicke states with $m$ excitations, as shown in exemplary cases. Furthermore, they can be employed to detect multipartite entanglement in different states related to quantum cloning, decoherence-free communication, and quantum secret sharing. In a detailed analysis, we show that the criteria are also more robust to noise than any other criterion known so far, especially with increasing system size. Furthermore, it is shown that the number of required local observables scales only polynomially with size, thus making the criteria experimentally feasible.

arXiv:1011.4579•Physical Review A•Apr 18, 2011•56 citations

Multipartite entanglement detection from correlation tensors

Julio I. de Vicente, Marcus Huber

We introduce a general framework for detecting genuine multipartite entanglement and non-full-separability in multipartite quantum systems of arbitrary dimensions based on correlation tensors. Regarding genuine multipartite entanglement, our conditions are comparable to those of previous approaches in the case of qubits, while they show particular strength in the relatively unexplored case of higher-dimensional systems. In the case of non-full-separability, our conditions prove to be advantageous in situations where more than two-body correlations are relevant, where most previous conditions turned out to be weak. Moreover, they allow for the detection of fully bound entangled states. Finally, we also discuss experimentally friendly ways of implementing our conditions, which are based on directly measurable quantities.

arXiv:1106.5756•Physical Review A•Dec 6, 2011•110 citations

Quadratic Entanglement Criteria for Qutrits

Krzysztof Rosołek, Marcin Wieśniak, Lukas Knips

The problem of detecting non-classical correlations of states of many qudits is incomparably more involved than in the case of qubits.One reason is that for qubits we have a convenient description of the system by the means of the well-studied correlation tensor allowing to encode the complete information about the state in mean values of dichotomic measurements.The other reason is the more complicated structure of the state space, where, for example, different Schmidt ranks or bound entanglement comes into play.We demonstrate that for three-dimensional quantum subsystems we are able to formulate nonlinear entanglement criteria of the state with existing formalisms.We also point out where the idea for constructing these criteria fails for higher-dimensional systems, which poses well-defined open questions.

arXiv:1512.07099•Acta Physica Polonica A•Mar 1, 2020•0 citations
It has been demonstrated both theoretically and experimentally that genuine multipartite entanglement between qubits can exist even in the absence of multipartite correlations. Here, we provide first examples of this effect in higher dimensional systems – qudits. We construct states in which genuine N-partite entanglement between qudits is supported only by correlations involving strictly less than N particles. The construction differs in several aspects from the ones for qubits. The states introduced here are a natural test-bed for candidate quantifiers of genuinely multipartite quantum correlations.
The existence of correlations between the parts of a quantum system on the one hand, and entanglement between them on the other, are different properties. Yet, one intuitively would identify strong N -party correlations with N -party entanglement in an N -partite quantum state. If the local systems are qubits, this intuition is confirmed: The state with the strongest N -party correlations is the Greenberger-Horne-Zeilinger (GHZ) state, which does have genuine multipartite entanglement. However, for high-dimensional local systems the state with strongest N -party correlations may be a tensor product of Bell states, that is, partially separable. We show this by introducing several novel tools for handling the Bloch representation.
Nonclassical correlations between measurement results make entanglement the essence of quantum physics and the main resource for quantum information applications. Surprisingly, there are n-particle states which do not exhibit n-partite correlations at all but still are genuinely n-partite entangled. We introduce a general construction principle for such states, implement them in a multiphoton experiment and analyze their properties in detail. Remarkably, even without multipartite correlations, these states do violate Bell inequalities showing that there is no classical, i.e., local realistic model describing their properties.
We construct a set of criteria detecting genuine multipartite entanglement in arbitrary dimensional multipartite systems. These criteria are optimally suited for detecting multipartite entanglement in nnn-qubit Dicke states with mmm excitations, as shown in exemplary cases. Furthermore, they can be employed to detect multipartite entanglement in different states related to quantum cloning, decoherence-free communication, and quantum secret sharing. In a detailed analysis, we show that the criteria are also more robust to noise than any other criterion known so far, especially with increasing system size. Furthermore, it is shown that the number of required local observables scales only polynomially with size, thus making the criteria experimentally feasible.
We introduce a general framework for detecting genuine multipartite entanglement and non-full-separability in multipartite quantum systems of arbitrary dimensions based on correlation tensors. Regarding genuine multipartite entanglement, our conditions are comparable to those of previous approaches in the case of qubits, while they show particular strength in the relatively unexplored case of higher-dimensional systems. In the case of non-full-separability, our conditions prove to be advantageous in situations where more than two-body correlations are relevant, where most previous conditions turned out to be weak. Moreover, they allow for the detection of fully bound entangled states. Finally, we also discuss experimentally friendly ways of implementing our conditions, which are based on directly measurable quantities.
The problem of detecting non-classical correlations of states of many qudits is incomparably more involved than in the case of qubits.One reason is that for qubits we have a convenient description of the system by the means of the well-studied correlation tensor allowing to encode the complete information about the state in mean values of dichotomic measurements.The other reason is the more complicated structure of the state space, where, for example, different Schmidt ranks or bound entanglement comes into play.We demonstrate that for three-dimensional quantum subsystems we are able to formulate nonlinear entanglement criteria of the state with existing formalisms.We also point out where the idea for constructing these criteria fails for higher-dimensional systems, which poses well-defined open questions.