Multipartite reflected entropy

Bao, Ning; Cheng, Newton

doi:10.1007/jhep10(2019)102

Cited by 48 publications

(62 citation statements)

References 28 publications

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“…Note added : After all the results in this paper were obtained, [57] appeared in which they construct similar generalization of reflected entropy for ∆ W , which is different from ours.…”

Section: Introductionmentioning

confidence: 71%

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Generalizations of reflected entropy and the holographic dual

Chu

Zhou

2020

J. High Energ. Phys.

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We introduce a new class of quantum and classical correlation measures by generalizing the reflected entropy to multipartite states. We define the new measures for quantum systems in one spatial dimension. For quantum systems having gravity duals, we show that the holographic duals of these new measures are various types of minimal surfaces consist of different entanglement wedge cross sections. One special generalized reflected entropy is ∆ R , with the holographic dual proportional to the so called multipartite entanglement wedge cross section ∆ W defined before. We then perform a large c computation of ∆ R and find precise agreement with the holographic computation of 2∆ W . This agreement shows another candidate ∆ R as the dual of ∆ W and also supports our holographic conjecture of the new class of generalized reflected entropies.

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“…Note added : After all the results in this paper were obtained, [57] appeared in which they construct similar generalization of reflected entropy for ∆ W , which is different from ours.…”

Section: Introductionmentioning

confidence: 71%

“…The difficulty to compute ∆ P makes it a bit hard to test ∆ P = ∆ W though this conjecture is the most natural generalization of the E P = E W conjecture proposed in [28,29]. See [30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,53,54,55,56,57] for recent progress.…”

Section: Introductionmentioning

confidence: 99%

Generalizations of reflected entropy and the holographic dual

Chu

Zhou

2020

J. High Energ. Phys.

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“…One immediate example is understanding the purifications involved in the E P ¼ E W and E R ¼ E W proposals. Moreover, we know of several other entanglement measures related to E W [19][20][21][22][23][24][25][26][27][28][29], for which our result will likely be useful in analyzing their connections to E P and E R .…”

Section: Discussionmentioning

confidence: 99%

Optimized correlation measures in holography

Cheng

2020

Phys. Rev. D

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We consider a class of correlation measures for quantum states called optimized correlation measures defined as a minimization of a linear combination of von Neumann entropies over purifications of a given state. Examples include the entanglement of purification E P and squashed entanglement E sq . We show that when evaluating such measures on "nice" holographic states in the large-N limit, the optimal purification has a semiclassical geometric dual. We then apply this result to confirm several holographic dual proposals, including the n-party squashed entanglement. Moreover, our result suggests two new techniques for determining holographic duals: holographic entropy inequalities and direct optimization of the dual geometry.NEWTON CHENG PHYS. REV. D 101, 066009 (2020)Note that ð P J ∈R α J ÞS mix ≥ 0 as both terms are nonnegative. By the minimality of our choice of jψi UU 0 , we must also have the upper bound NEWTON CHENG

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“…[17,18], and its area in Planck units, denoted by E W (A : B), was initially conjectured to be dual to the entanglement of purification, E P (A : B) [30]. Several other candidates for its holographic dual have since been proposed, including reflected entropy [19,31], odd entropy [32], and logarithmic negativity [33]; consensus about the correct holographic dual, however, has yet to emerge. In addition, E W (A : B) has been generalized to conditional and multipartite configurations in refs.…”

Section: Entanglement Wedge Cross Sectionmentioning

confidence: 99%

Warping wormholes with dust: a metric construction of the Python’s Lunch

Bao

Chatwin-Davies

Remmen

2020

J. High Energ. Phys.

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We show how wormholes in three spacetime dimensions can be customizably warped using pressureless matter. In particular, we exhibit a large new class of solutions in (2 + 1)-dimensional general relativity with energy-momentum tensor describing a negative cosmological constant and positive-energy dust. From this class of solutions, we construct wormhole geometries and study their geometric and holographic properties, including Ryu- Takayanagi surfaces, entanglement wedge cross sections, mutual information, and outer entropy. Finally, we construct a Python’s Lunch geometry: a wormhole in asymptotically anti-de Sitter space with a local maximum in size near its middle.

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Multipartite reflected entropy

Cited by 48 publications

References 28 publications

Generalizations of reflected entropy and the holographic dual

Generalizations of reflected entropy and the holographic dual

Optimized correlation measures in holography

Warping wormholes with dust: a metric construction of the Python’s Lunch

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