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Sudden death of Sudden death of entanglement, teleportation entanglement, teleportation fidelity loss and the Unruh fidelity loss and the Unruh
effecteffect
Andre G.S. LandulfoAndre G.S. Landulfo and George E.A. and George E.A. MatsasMatsas
Instituto de Física Teórica/UnespInstituto de Física Teórica/Unesp
““I think of my lifetime as I think of my lifetime as divided into three periods. divided into three periods. In the first I was in the grip In the first I was in the grip that everything is that everything is ParticlesParticles...I call my second ...I call my second period “Everything is period “Everything is FieldsFields.”..Now I am in the .”..Now I am in the grip of a new vision, that grip of a new vision, that everything iseverything is Information Information””
John A. Wheeler (1911-John A. Wheeler (1911-2008)2008)
Apologetic Introduction Apologetic Introduction Semi-classical Gravity Semi-classical Gravity
ProgramProgram
C. Rovelli, “Notes for a brief history of Quantum Gravity”, gr-qc/0006061
NOBODY NOWS
what quantum gravity is
Necessary condition: Quantum Gravity includes observables which depend simultaneously on c, h and G.
Quantum gravity effect space
Complexity (# of parameters)
Energy
238
8
)/(101cM
MMPl
bhsun
2cM Pl
Semiclassical gravity regime
Full quantum gravity regime
Unruh effect in Quantum Unruh effect in Quantum InformationInformation
Physical Review A – to appear
Inertial and accelerated entangled Inertial and accelerated entangled qubitsqubits
ALICE ROBTIM
E
beginning of acceleration
end of acceleration
Finite time acceleration
RARAAR 0|1|2
11|0|
2
1|
Qubits correlation Qubits correlation
A R
end of acceleration
beginning of acceleration
TIM
E
+ MUTUAL INFORMATION+ CONCURRENCE
Finite proper time acceleration
Qubits correlation Qubits correlation
A R
end of acceleration
beginning of acceleration
TIM
E
Finite proper time acceleration
Alice and Rob share the entangled state
Alice wishes to teleport to Rob the state
TeleportationTeleportation
CCC 1|2
10|
2
1|
RARAAR 0|1|2
11|0|
2
1|
A R
end of acceleration
beginning of acceleration
TIM
E
Alice makes Bell measurement
classical signal
Rob receives message
Spacetime diagrammatic descriptionSpacetime diagrammatic description
CCC 1|2
10|
2
1| RARAAR 0|1|
2
11|0|
2
1|
CA|