Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al.,...

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Transcript of Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al.,...

Page 1: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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Annia Abtout Giulia Zheng Tutor : Anton Potocnik

1.12.2014 1

Page 2: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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INDEX

•  TELEPORTATION : Concept •  TELEPORTATION : Implementation •  TELEPORTATION : Fidelity

Page 3: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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CONCEPT

Page 4: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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TELEPORTATION

1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ;

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Def : «In a quantum mechanical context, teleportation describes the process of transferring an unknown quantum state between two parties at two different physical locations without transferring the physical carrier of information itself »1

Page 5: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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THOUGHT EXPERIMENT

Alice Bob

Quantum process

Classical information

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1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ;

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ALGORITHM

1

Page 7: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information".

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CALCULATIONS BEHIND THE ALGORITHM

Q1

Q2 & Q3

1

Page 8: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information".

8

CALCULATIONS BEHIND THE ALGORITHM

Q1

Q2 & Q3

Page 9: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information".

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CALCULATIONS BEHIND THE ALGORITHM

Q1

Q2 & Q3

CNOT + H

Page 10: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information".

10

CALCULATIONS BEHIND THE ALGORITHM

Q1

Q2 & Q3

CNOT + H

Page 11: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information".

11

CALCULATIONS BEHIND THE ALGORITHM2

Q1

Q2 & Q3

CNOT + H

Page 12: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

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IMPLEMENTATION

Page 13: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014

1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422

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IMPLEMENTATION 1

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IMPLEMENTATION 1

Chip design

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IMPLEMENTATION

Chip design

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1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422

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POST SELECTION •  Method that implies a great amount of measurements

and the selection of a sample according on the outcome

•  Readout obtained with Josephson a m p l i f i e r i n a phase-sensit ive mode :

1

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DETERMINISTIC MEASUREMENT

•  The four randomly distributed Bell states are measured in a deterministic way using a high fidelity dispersive single shot qubit readout

•  R e a d o u t s obtained with a J o s e p h s o n p a r a m e t r i c amplifier operated i n t h e p h a s e preserving mode:

Page 18: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information". 18

FIDELITY

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FIDELITY State-transfer process matrix for quantum teleportation with post selection

State-transfer process matrix for quantum teleportation with simultaneous deterministic measurement of all four outcomes

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FIDELITY

Characterization of the output state Q3

State-transfer process matrix for quantum teleportation with feed forward

Characterization of feed forward with a process fidelity of 72,4%

Page 21: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information". 21

CONCLUSION

Creation of an entangled pair between the

sender and the receiver

A two-qubit measurement of

all four Bell states at the sender

Feed-forward of the classical

information High fidelity

Space-like separation

between the sender and the

receiver

Page 22: Annia Abtout Giulia Zheng Tutor : Anton Potocnik · TELEPORTATION 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system",

| | 1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information". 22

Thank you for your attention !

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ETH Zurich Organisational unit Street address Postcode City www.ethz.ch/en.html Publisher: Organisational unit of ETH Zurich Design: Designer Name Images: Credit (slide xx), Credit (slide xx) © ETH Zurich, December 2013

1.12.2014 1 - L.Steffen and al., "Deterministic quantum teloportation with feed-forward in a solid state system", Nature 12422 ; 2- Nielsen and Chuang, "Quantum computation and Quantum information". 23

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