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)

OutlineOutline

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

Relativity & Q. Information Relativity & Q. Information

GPS

Unruh effect – fast reviewUnruh effect – fast review

TIM

E

Minkowski vacuum

Unruh effect

TIM

E

Unruh effect; for sake of nature consistencyUnruh effect; for sake of nature consistency

Inertial observers perspective

Uniformly accelerated observers perspective

Review

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|

E

B

The qubitThe qubit

energy gap

qubit sizeswitching function

E

B

The qubitThe qubit

scalar field

ALICE ROB

EB

EB

Spacetime diagrammatic descriptionSpacetime diagrammatic description

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

Mutual InformationMutual Information

end of acceleration

beginning of acceleration

Entanglement between qubit system and field

Mutual information

ConcurrenceConcurrence

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|

FidelityFidelity

Unruh effect and Hawking Unruh effect and Hawking radiationradiation

ConclusionsConclusions