Quantum Penrose Inequality

Bousso, Raphael; Shahbazi-Moghaddam, Arvin; Tomašević, Marija

doi:10.1103/physrevlett.123.241301

Cited by 18 publications

(33 citation statements)

References 54 publications

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“…1) has a manifestly smooth horizon. However, this picture just trades the firewall paradox for the state paradox [22]. Then the question becomes how the state paradox is resolved.…”

Section: E Discussionmentioning

confidence: 99%

“…A different, intriguing possibility is that there exists a novel kind of duality: between an appropriately defined version of the gravitational path integral, and an ensemble of quantum mechanical theories without gravity. This can resolve the state paradox [22]. According to this proposal, SðradiationÞ takes two different values on the two sides of Eq.…”

Section: Gravity/ensemble Dualitymentioning

confidence: 99%

“…The ensemble average of the entropy will follow the Page curve, while the entropy of the ensemble average follows Hawking's curve. The state paradox and its resolution by gravity/ensemble duality was first described in a slightly different setting [22], which we will review in Sec. II.…”

Section: Gravity/ensemble Dualitymentioning

confidence: 99%

“…In Sec. II, we use the RT prescription in an AdS d bulk spacetime to derive the Page curve in the dual CFT d−1 [22]. The setting is distinct from that of Refs.…”

Section: Outlinementioning

confidence: 99%

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Gravity/ensemble duality

2020

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For the first time, a gravitational calculation was recently shown to yield the Page curve for the entropy of Hawking radiation, consistent with unitary evolution. However, the calculation takes as essential input Hawking's result that the radiation entropy becomes large at late times. We call this apparent contradiction the state paradox. We exhibit its manifestations in standard and doubly holographic settings, with and without an external bath. We clarify which version(s) of the Ryu-Takayanagi prescription apply in each setting. We show that the two possible homology rules in the presence of a braneworld generate a bulk dual of the state paradox. The paradox is resolved if the gravitational path integral computes averaged quantities in a suitable ensemble of unitary theories, a possibility supported independently by several recent developments.

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“…1) has a manifestly smooth horizon. However, this picture just trades the firewall paradox for the state paradox [22]. Then the question becomes how the state paradox is resolved.…”

Section: E Discussionmentioning

confidence: 99%

Section: Gravity/ensemble Dualitymentioning

confidence: 99%

Section: Gravity/ensemble Dualitymentioning

confidence: 99%

“…In Sec. II, we use the RT prescription in an AdS d bulk spacetime to derive the Page curve in the dual CFT d−1 [22]. The setting is distinct from that of Refs.…”

Section: Outlinementioning

confidence: 99%

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Gravity/ensemble duality

2020

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“…Integration of the QFT stress tensor computed in Ref. [25], outside the regulator sphere H c , yields a QFT contribution to the energy at infinity of order −(l P /d c ) 2 M , where M = R/2G is the mass of the black hole [18]. Here we will go further; instead of naively gluing to QFT states across a surface (which is does not generally yield an allowed QFT state), we consider junction effects at H c .…”

Section: Figurementioning

confidence: 99%

Quantum information bound on the energy

2019

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According to the classical Penrose inequality, the mass at spatial infinity is bounded from below by a function of the area of certain trapped surfaces. We exhibit quantum field theory states that violate this relation at the semiclassical level. We formulate a Quantum Penrose Inequality, by replacing the area with the generalized entropy of the lightsheet of an appropriate quantum trapped surface. We perform a number of nontrivial tests of our proposal, and we consider and rule out alternative formulations. We also discuss the relation to weak cosmic censorhip.

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Distribution and Generation of Quantum Coherence for Gaussian States in de Sitter Space

et al. 2021

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The distribution and generation of quantum coherence for two‐mode and multi‐mode Gaussian states in de Sitter space are studied. It is found that the quantum coherence is redistributed among the mode in different open charts under the curvature effect of de Sitter space. In particular, the Gaussian coherence for the initially correlated state is found to survive in the limit of infinite curvature, while quantum entanglement vanishes in this limit. Unlike entanglement and steering, the coherence of a massive scalar field is more robust than a massless field under the influence of curvature of de Sitter space. In addition, it is shown that the curvature generates two‐mode Gaussian state and three‐mode Gaussian state quantum coherence among the open charts, even though the observers are localized in causally disconnected regions. It is worth noting that the gravity‐generated three‐mode coherence is extremely sensitive to the curvature effect for the conformal and massless scalar fields, which may be in principle employed to design an effective detector for the space curvature.

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Quantum Penrose Inequality

Cited by 18 publications

References 54 publications

Gravity/ensemble duality

Gravity/ensemble duality

Quantum information bound on the energy

Distribution and Generation of Quantum Coherence for Gaussian States in de Sitter Space

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