Spin–spin entanglement in moving frames: Properties of negativity

Rastgoo, S.; Golshan, M.M.

doi:10.1007/s12043-014-0820-8

Cited by 3 publications

(2 citation statements)

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“…With the goal of studying entanglement and Bell nonlocality in states of relativistic spins, the standard strategy consists of starting with free particle states encoding momentum and spin degrees of freedom, and then tracing over momentum [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24]. In this scenario, a variety of interesting questions arises, including investigations regarding the operational significance of spin [13,14,18,[25][26][27].…”

Section: Introductionmentioning

confidence: 99%

“…On the other hand, U k (Λ) (k = 1, 2) does change the amount of entanglement between the spin and the momentum of the k-th particle [14,19,[28][29][30]. Further discussions on this line of research include the differences in treating momentum as a discrete [17,20] or continuous variable [19,21], Bell inequality violations [13], scattering states [22], entanglement between spin and parity eigenstates (for spin 1/2 fermions) [24,30,31], and the inclusion of non-inertial and gravitational effects [32,33]. The reader is also referred to Refs.…”

Section: Introductionmentioning

confidence: 99%

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Genuine multipartite entanglement and quantum coherence in an electron-positron system: Relativistic covariance

Petreca,

Cardoso,

Devecchi

et al. 2021

Preprint

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The last two decades have witnessed an increasing effort of the scientific community toward pursuing a better framework for quantum resource covariance, with the focus predominantly posed on quantum entanglement. In this work, we move the discussion one step further by analyzing the behavior of both genuine multipartite entanglement and quantum coherence under Lorentz boosts. Specifically, we conduct a case study for the problem of an electron-positron pair created in a superposed multipartite pure state. Our approach is different from the standard treatments also in that we consider all the components of the four-momentum, thus allowing for an inspection of scenarios wherein entanglement can be encoded among these degrees of freedom as well. Our analysis reveals interesting subtleties in this problem, like the fact that genuine 4-partite entanglement in the lab frame transforms into genuine 8-partite entanglement plus quantum coherence in the perspective of the Lorentz-boosted frame. Moreover, a given combination of these quantum resources is shown to form a Lorentz invariant. Although our findings are not able to determine, via first principles, an information-theoretic Lorentz invariant, they pave the way for fundamental incursions along this line.

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