Quantum signaling in relativistic motion and across acceleration horizons

Jonsson, Robert H.

doi:10.1088/1751-8121/aa7d3c

Cited by 32 publications

(46 citation statements)

References 44 publications

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“…In fact, this construction does not only apply to mixed states but to bi-linear forms in general. Thus, it may be used to further develop techniques such as [81] to efficiently describe the interaction of several quantum systems with a given bath of harmonic oscillators, with applications ranging from open system dynamics to fundamental quantum communication between local observers via relativistic fields [82][83][84][85][86][87]…”

Section: Outlook: Mixed Statesmentioning

confidence: 99%

Minimal energy cost of entanglement extraction

Hackl

Jonsson

2019

Quantum

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We compute the minimal energy cost for extracting entanglement from the ground state of a bosonic or fermionic quadratic system. Specifically, we find the minimal energy increase in the system resulting from replacing an entangled pair of modes, sharing entanglement entropy ∆S, by a product state, and we show how to construct modes achieving this minimal energy cost. Thus, we obtain a protocol independent lower bound on the extraction of pure state entanglement from quadratic systems. Due to their generality, our results apply to a large range of physical systems, as we discuss with examples.A ⊕ B, we have the unique decompositionwhere the projections P A : V → A and P B : V → B with P A + P B = 1 provide the unique decomposition of a vector v = a + b into its part inGiven such a decomposition, the spectrum of J 2 A and J 2 B is the same except for the number of eigenvalues equal to −1. Put differently, given an eigenvalue λ of J 2 A , we have λ = −1 or J 2 B also has λ as eigenvalue.Proof. We write J 2 = −1 in blocks to find

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Section: Outlook: Mixed Statesmentioning

confidence: 99%

Minimal energy cost of entanglement extraction

Hackl

Jonsson

2019

Quantum

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“…More specifically, by acting on the field conditional on Bob's state, it undoes the displacement that Alice imprinted on the field in her first interaction, which was specified by α 1 . All three interactions have the same structure as Alice's interactions, and consequently the corresponding unitaries also have the form of controlled displacement operators, as in (10).…”

Section: Retrieving the Qubit State From The Fieldmentioning

confidence: 99%

Transmitting qubits through relativistic fields

Jonsson¹,

Ried²,

Martín-Martínez³

et al. 2018

J. Phys. A: Math. Theor.

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Wireless communication derives its power from the simultaneous emission of signals in multiple directions. However, in the context of quantum communication, this phenomenon must be reconciled carefully with the no-cloning principle. In this context, we here study how wireless communication of quantum information can be realized via relativistic fields. To this end, we extend existing frameworks to allow for a non-perturbative description of, e.g., quantum state transfer. We consider, in particular, the case of 1+1 spacetime dimensions, which already allows a number of interesting scenarios, pointing to, for example, new methods for tasks similar to quantum secret sharing. arXiv:1708.04249v2 [quant-ph]

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“…One says that the strong Huygens principle is violated. Notably this is remarkably important for the physics of detectors and allows for the transmission of information along timelike paths, without energy cost [25,[33][34][35][36][37]. This is not radically different from our conformal case, especially since the interior contribution decays with time.…”

Section: Entangled Geodesic Detectorsmentioning

confidence: 76%

Unruh-DeWitt detectors and entanglement: The anti–de Sitter space

Ng¹,

Mann²,

Martín-Martínez³

2018

Phys. Rev. D

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We investigate entanglement harvesting in AdS4. Applying the general results of [1], we consider two scenarios: one where two particle detectors are geodesic, with equal redshift; and one where both are static, at unequal redshift. As expected, at large AdS length L, our results approximate flat space. However at smaller L we observe non-trivial effects for various field boundary conditions. Furthermore, in the static case we observe a novel feature of the entanglement as a function of switching time delay, which we attribute to different (coordinate) frequencies of the detectors. We also find an island of separability in parameter space, analogous that that observed in AdS3, to which we compare and contrast our other results. The variety of features observed in both cases suggest further study in other spacetimes. arXiv:1809.06878v1 [quant-ph]

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Quantum signaling in relativistic motion and across acceleration horizons

Cited by 32 publications

References 44 publications

Minimal energy cost of entanglement extraction

Minimal energy cost of entanglement extraction

Transmitting qubits through relativistic fields

Unruh-DeWitt detectors and entanglement: The anti–de Sitter space

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