Entanglement Swapping

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Information about Entanglement Swapping
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Published on March 10, 2014

Author: vasudhapande

Source: slideshare.net

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At Amity Institute of Applied Sciences, Amity University, Noida, India. 14 Dec 2012.

Entanglement Swapping Vasudha Pande M.Sc. Applied Physics (Sem-I) 14 December 2012

Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 2

Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 3

|Ψ = α|0 + β|1 4

|Ψ = α|0 + β|1 5 basis states

|Ψ = α|0 + β|1 6 basis states complex numbers

|Ψ = α|0 + β|1 7 basis states complex numbers linear superposition

|Ψ corresponds to a wave function. 8

|Ψ corresponds to a wave function. 9 wave packet vector in complex Hilbert Space

|Ψ corresponds to a wave function. 10 wave packet vector in complex Hilbert Space superposition of eigenstates of an observable

|Ψ corresponds to a wave function. 11 wave packet vector in complex Hilbert Space superposition of eigenstates of an observable measurement leads to collapse

12 Bloch Sphere

|Ψ yields one classical bit post-measurement. 13

|Ψ yields one classical bit post-measurement. 14 basis state |0 with probability ||2 probabilistic outcome

Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 15

N(|0012 + |1112) 16

N(|0012 + |1112) 17 inseparable

N(|0012 + |1112) 18 inseparable nonlocal correlation

N(|0012 + |1112) 19 inseparable nonlocal correlation monogamous

Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 20

Disembodied transport of a physical system. 21

22 Teleportation Protocol: Schematic Diagram

Outline 1. Quantum State 2. Quantum Entanglement 3. Quantum Teleportation 4. Entanglement Swapping 23

Transfer of nonlocal correlations between quantum systems. 24

25 Swapping Protocol: Schematic Diagram

Thank you. 26

Questions? 27

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