1. Sudden death of entanglement, teleportation fidelity loss and the Unruh effect Andre G.S. LandulfoAndre G.S. Landulfo and George E.A. Matsas George E.A. Matsas Andre G.S. LandulfoGeorge E.A. Matsas Instituto de Física Teórica/Unesp

2. “ I think of my lifetime as divided into three periods. In the first I was in the grip that everything is Particles...I call my second period “Everything is Fields.”..Now I am in the grip of a new vision, that everything is Information” “ I think of my lifetime as divided into three periods. In the first I was in the grip that everything is Particles...I call my second period “Everything is Fields.”..Now I am in the grip of a new vision, that everything is Information” John A. Wheeler (1911-2008) John A. Wheeler (1911-2008)

3. Outline Apologetic introduction - The semi-classical gravity programUnruh effect – fast reviewEntangled system with inertial and accelerated qubits Mutual information Concurrence Teleportation fidelity loss and Unruh effectHawking radiation and final remarks

4. Apologetic Introduction Semi-classical Gravity Program C. Rovelli, “Notes for a brief history of Quantum Gravity”, gr-qc/0006061 NOBODY NOWS what quantum gravity is

5. Necessary condition: Quantum Gravity includes observables which depend simultaneously on c, h and G. Quantum gravity effect space Complexity (# of parameters) Energy Semiclassical gravity regime Full quantum gravity regime

6. Relativity & Q. Information GPS

7. Unruh effect – fast review

8. TIME Minkowski vacuum

9. Unruh effect TIME

10. Unruh effect; for sake of nature consistency

11. Inertial observers perspective

12. Uniformly accelerated observers perspective

13. Review

14. Unruh effect in Quantum Information Physical Review A – to appear

15. Inertial and accelerated entangled qubits ALICEROB TIME beginning of acceleration end of acceleration Finite time acceleration

16. E B The qubit energy gap qubit sizeswitching function

17. E B E The qubit scalar field

18. ALICEROB E B E B TIME Spacetime diagrammatic description

19. Qubits correlation A R end of acceleration beginning of acceleration TIME + MUTUAL INFORMATION + CONCURRENCE Finite proper time acceleration

20. Qubits correlation A R end of acceleration beginning of acceleration TIME Finite proper time acceleration

21. Mutual Information end of acceleration beginning of acceleration

23. Entanglement between qubit system and field Mutual information

24. Concurrence

25. Alice and Rob share the entangled state Alice wishes to teleport to Rob the state Teleportation

26. A R end of acceleration beginning of acceleration TIME Alice makes Bell measurement classical signal Rob receives message Spacetime diagrammatic description

27. Fidelity

28. Unruh effect and Hawking radiation

29. Conclusions In general acceleration (due to external forces) disturbs entanglement. According to accelerated observers this is so because Minkowski vacuum is populated with thermal distribution of Rindler particles – UNRUH effect. Were Alice free falling in the vicinity of a black hole and Rob static under the influence of Hawking radiation with proper acceleration a outside it, the same results would hold.