Multipartite Entanglement

Walter, Michael; Gross, David J.; Eisert, Jens

doi:10.1002/9783527805785.ch14

Cited by 56 publications

(49 citation statements)

References 149 publications

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“…The most common applications found in the literature are for bipartite systems [1,10,13,18,19], where subsystem entropies are typically within 1 nat of maximal mixing, but we have argued herein that it is often more useful to look at tri-partite or even multi-partite decompositions of the universe. (Indeed multi-partite decompositions have attracted and continue to attract considerable attention [3,4,6,12,21,83,84]. )…”

Section: Discussionmentioning

confidence: 99%

“…In order to fully quantify entanglement among different subsystems, in a N = 2 bipartite system it is enough, (when the total system is in a pure state), to consider the von Neumann (entanglement) entropy between the two subsystems, but in the case of N > 2 multi-partite systems this quantity does not provide us with a fully general measure of entanglement, and there is no universally agreed upon standard quantity for measuring multipartite entanglement [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 99%

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Multipartite analysis of average-subsystem entropies

Alonso-Serrano

Visser

2017

Phys. Rev. A

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Blackbody radiation contains (on average) an entropy of 3.9 ± 2.5 bits per photon. If the emission process is unitary, then this entropy is exactly compensated by "hidden information" in the correlations. We extend this argument to the Hawking radiation from GR black holes, demonstrating that the assumption of unitarity leads to a perfectly reasonable entropy/information budget. The key technical aspect of our calculation is a variant of the "average subsystem" approach developed by Page, which we extend beyond bipartite pure systems, to a tripartite pure system that considers the influence of the environment.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multipartite analysis of average-subsystem entropies

Alonso-Serrano

Visser

2017

Phys. Rev. A

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“…In this paper, we consider only certain elements of Davies semi-groups: the so called Davies maps [12,14,15,17,21] which are completely positive and describe time evolution of qubits (two-level systems with an energy splitting ω) coupled to a thermal environment [10,11] via a mapping [21] acting on single qubit density matrices in the following way [5]:…”

Section: Davies Decoherece and Entanglementmentioning

confidence: 99%

“…Various aspects of entanglement of open quantum systems is an object of intensive studies [4] both in a context of bi-and multi-partite entanglement. The latter is 'harder' to study simply because it is harder to define [5]. There are various classes of entangled multi-partite systems: all of them useful but often very different.…”

Section: Introductionmentioning

confidence: 99%

Multi-partite entanglement in Davies environment

Jałowiecki

Dajka

2019

Eur. Phys. J. Spec. Top.

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We analyse dynamics of genuinely multi-partite entanglement of N-qubit states initially prepared in the form of so called X-matrices with one qubit coupled to a Davies-type environment. We develop an analytic formula for genuinely multi-partite concurrence of the investigated states as a function of time and analyze its time evolution with an emphasis on the qualitative difference between systems affected by a pure decoherence only and those which do dissipate energy at finite temperature.

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“…This representation of the 2DM has important connections to natural-orbital functional theories and geminalbased theories in quantum chemistry [9][10][11][12][13][14][15][16]. It offers a natural separation between the nonlocal and local fermionic degrees of freedom in the system [17], scaling linearly and polynomially, respectively, and can be leveraged in a variational hybrid quantum-classical algorithm. The entangled nonlocal degrees are treated on the quantum computer while the local degrees are treated on the classical computer, leading to an efficient simulation of the system.…”

Section: Introductionmentioning

confidence: 99%

Efficient two-electron ansatz for benchmarking quantum chemistry on a quantum computer

Smart

Mazziotti

2020

Phys. Rev. Research

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Quantum chemistry provides key applications for near-term quantum computing, but these are greatly complicated by the presence of noise. In this work we present an efficient ansatz for the computation of twoelectron atoms and molecules within a hybrid quantum-classical algorithm. The ansatz exploits the fundamental structure of the two-electron system, treating the nonlocal and local degrees of freedom on the quantum and classical computers, respectively. Here the nonlocal degrees of freedom scale linearly with respect to basis-set size, giving a linear ansatz with only O(1) circuit preparations required for reduced state tomography. We implement this benchmark with error mitigation on two publicly available quantum computers, calculating accurate dissociation curves for four-and six-qubit calculations of H 2 and H 3 + .

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Multipartite Entanglement

Cited by 56 publications

References 149 publications

Multipartite analysis of average-subsystem entropies

Multipartite analysis of average-subsystem entropies

Multi-partite entanglement in Davies environment

Efficient two-electron ansatz for benchmarking quantum chemistry on a quantum computer

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