Entanglement properties of a two spin-one particle system under a Lorentz transformation

Abstract

We analize the entanglement change, under a Lorentz transformation, of a system consisting of two spin-one particles, considering different partitions of the Hilbert space, which has spin and momentum degrees of freedom. We show that there exists a complete set of states of the spin subspace in which the entanglement change of any state in the set is zero for all partitions and all values of the Wigner angle. Moreover, these states only change by a global phase factor under the Lorentz boost. Within this basis, maximally entangled invariant states, interesting for quantum information purposes, are explicitly obtained. On the other hand, the entanglement in the particle- particle partition is Lorentz invariant, thus protecting the consistency of quantum correlations and teleportation results. We show how our results may be generalized to arbitrary spin.

16 pp, 9 figures

References in corpus (6)

• Quantum Entanglement of Moving Bodies
• Quantum entropy and special relativity
• Relativistic entanglement of two massive particles
• Relativistically invariant quantum information
• Lorentz transformations that entangle spins and entangle momenta
• Relativistic Doppler effect in quantum communication

Cited by in corpus (7)

• Relativistic quantum reference frames: the operational meaning of spin
• Relativistic Bell Test within Quantum Reference Frames
• Single particle entanglement in the mid-and ultra-relativistic regime
• Lorentz transformations for massive two-particle systems: entanglement change and invariant subspaces
• Effect of Wigner rotation on estimating unitary-shift parameter of relativistic spin-1/2 particle
• Information under Lorentz transformation
• Relativistic EPR-type experiments for photons in the background of reducible representation HOLA algebras