Is bound entanglement Lorentz invariant?
arXiv:2212.01286 · doi:10.1038/s41598-023-38217-3
Abstract
Bound entanglement, in contrast to free entanglement, cannot be distilled into maximally entangled states by two local observers applying measurements and utilizing classical communication. In this paper we ask whether a relativistic observer classifies states according to being separable, bound or free entangled in the same manner as an unboosted observer. Surprisingly, this turns out not to be the case. And that even if the system in a given inertial frame of reference is separable with respect to the partition momenta versus spins. In detail, we show that if the spin state is initially bound entangled, some boosted observers observe their spin states to be either bound entangled, separable or free entangled. This also explains why a general measure of the entanglement property is difficult to find.
8 pages, 3 figures
References in corpus (11)
- Disproving the Peres conjecture: Bell nonlocality from bipartite bound entanglement
- The state space for two qutrits has a phase space structure in its core
- The geometry of bipartite qutrits including bound entanglement
- Lorentz-covariant reduced spin density matrix and EPR-Bohm correlations
- Strange behavior of the relativistic Einstein-Podolsky-Rosen correlations
- Free versus Bound Entanglement: Machine learning tackling a NP-hard problem
- Einstein-Podolsky-Rosen correlations of vector bosons
- Helicity correlations of vector bosons
- Detection and typicality of bound entangled states
- Comparing bound entanglement of bell diagonal pairs of qutrits and ququarts
- Almost complete solution for the NP-hard separability problem of Bell diagonal qutrits
Cited by in corpus (6)
- On the structure of mirrored operators obtained from optimal entanglement witnesses
- Bipartite Bound Entanglement
- A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist
- Group-Theoretic Perspective on the PPT and Realignment Criteria in the Magic Simplex for Bipartite Qutrits
- Bound entanglement in symmetric random induced states
- Does Quantum Information Require Additional Structure?