Energy cost of entanglement extraction in complex quantum systems

Bény, Cédric; Chubb, Christopher T.; Farrelly, Terry; Osborne, Tobias J.

doi:10.1038/s41467-018-06153-w

Cited by 20 publications

(15 citation statements)

References 55 publications

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“…Entanglement harvesting has been shown to be sensitive to accelerations [13], time dependence of the interaction and the number of spacetime dimensions [14], spacetime curvature [15][16][17][18], spacetime topology [19], boundary conditions [20,21], as well as indefinite causal ordering [22][23][24]. Entanglement harvesting has also been investigated in more practical, experimental settings [25][26][27][28][29][30][31]. In such studies, it is common to employ a form of particle-detector model such as the Unruh-DeWitt (UDW) model [32,33], which is a simplified scalar model derived from realistic light-matter interaction.…”

Section: Jhep08(2020)155mentioning

confidence: 99%

Harvesting correlations in Schwarzschild and collapsing shell spacetimes

Tjoa

Mann

2020

J. High Energ. Phys.

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We study the harvesting of correlations by two Unruh-DeWitt static detectors from the vacuum state of a massless scalar field in a background Vaidya spacetime consisting of a collapsing null shell that forms a Schwarzschild black hole (hereafter Vaidya spacetime for brevity), and we compare the results with those associated with the three preferred vacua (Boulware, Unruh, Hartle-Hawking-Israel vacua) of the eternal Schwarzschild black hole spacetime. To do this we make use of the explicit Wightman functions for a massless scalar field available in (1+1)-dimensional models of the collapsing spacetime and Schwarzschild spacetimes, and the detectors couple to the proper time derivative of the field. First we find that, with respect to the harvesting protocol, the Unruh vacuum agrees very well with the Vaidya vacuum near the horizon even for finite-time interactions. Second, all four vacua have different capacities for creating correlations between the detectors, with the Vaidya vacuum interpolating between the Unruh vacuum near the horizon and the Boulware vacuum far from the horizon. Third, we show that the black hole horizon inhibits any correlations, not just entanglement. Finally, we show that the efficiency of the harvesting protocol depend strongly on the signalling ability of the detectors, which is highly non-trivial in presence of curvature. We provide an asymptotic analysis of the Vaidya vacuum to clarify the relationship between the Boulware/Unruh interpolation and the near/far from horizon and early/late-time limits. We demonstrate a straightforward implementation of numerical contour integration to perform all the calculations.

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Section: Jhep08(2020)155mentioning

confidence: 99%

Harvesting correlations in Schwarzschild and collapsing shell spacetimes

Tjoa

Mann

2020

J. High Energ. Phys.

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“…This kind of simultaneous restrictions on locality and thermodynamics has also been considered in other previous works, see for example Refs. [71][72][73][74][75]. The multi-resource theory is obtained by considering two single-resource theories, the one of entanglement and the one of energy.…”

Section: Local Control Theory Under Energetic Restrictionsmentioning

confidence: 99%

The first law of general quantum resource theories

Sparaciari

Rio

Scandolo

et al. 2020

Quantum

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We extend the tools of quantum resource theories to scenarios in which multiple quantities (or resources) are present, and their interplay governs the evolution of physical systems. We derive conditions for the interconversion of these resources, which generalise the first law of thermodynamics. We study reversibility conditions for multi-resource theories, and find that the relative entropy distances from the invariant sets of the theory play a fundamental role in the quantification of the resources. The first law for general multi-resource theories is a single relation which links the change in the properties of the system during a state transformation and the weighted sum of the resources exchanged. In fact, this law can be seen as relating the change in the relative entropy from different sets of states. In contrast to typical single-resource theories, the notion of free states and invariant sets of states become distinct in light of multiple constraints. Additionally, generalisations of the Helmholtz free energy, and of adiabatic and isothermal transformations, emerge. We thus have a set of laws for general quantum resource theories, which generalise the laws of thermodynamics. We first test this approach on thermodynamics with multiple conservation laws, and then apply it to the theory of local operations under energetic restrictions.

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“…Among these resources, energy is one of the most important with regard to the evaluation of the generation cost. Recently, some studies dealt with the energy cost of quantum operations [20], including the generation of correlations [21] and entanglement [19,[22][23][24]. In particular, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Generation of minimum energy entangled states

Piccione,

Militello,

Napoli

et al. 2020

Preprint

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Energy cost of entanglement extraction in complex quantum systems

Cited by 20 publications

References 55 publications

Harvesting correlations in Schwarzschild and collapsing shell spacetimes

Harvesting correlations in Schwarzschild and collapsing shell spacetimes

The first law of general quantum resource theories

Generation of minimum energy entangled states

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