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Linear Optical Quantum Computing Linear Optical Quantum Computing

Linear Optical Quantum Computing - PowerPoint Presentation

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Uploaded On 2020-08-26

Linear Optical Quantum Computing - PPT Presentation

Rishabh Sahu Summary Qubits Dualrail bits 1gt 0gt 0gt 0gt 1gt 1gt Single bit unitary transformation are trivial Twobit gates are challenge as photons dont interact ID: 802409

teleportation quantum linear fix quantum teleportation fix linear probability mode success system bit optics dual measurement resource entangled dimensional

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Slide1

Linear Optical Quantum Computing

-Rishabh Sahu

Slide2

Summary

Qubits: (Dual-rail bits)

|1>

|0>

|0>

|0>

|1>

|1>

Single bit unitary transformation are trivial.

Two-bit gates are challenge as photons don’t interact.

Slide3

Two-qubit CZ gate

Control

Target

CZ

|0>

|0>

|0,0>

|0>

|1>

|0,1>

|1>

|0>

|1,0>

|1>

|1>-|1,1>> >

 

 

 

CZ

>

 

Success probability is

.

 

Slide4

Quantum Teleportation Fix

Proposed by Gottesman and Chuang, 1999

Introduction

>

 

>

 

>

 

Bell Measurement

Slide5

Quantum Teleportation Fix

Several identities:

Slide6

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Slide7

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Slide8

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Slide9

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Slide10

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Slide11

Quantum Teleportation Fix

>

 

>

 

CZ

>

 

>

 

>

 

Offline

System

Slide12

Quantum Teleportation using Linear Optics

Entangled

Resource

Dual-Rail

bit

:

 

 

:

 

Slide13

Quantum Teleportation using Linear Optics

Entangled

Resource

>

 

>

 

Mode 1

QFT

Mode 2

Slide14

Quantum Teleportation using Linear Optics

Measurement

Output

Mode

Probability

Total probability of success = 2/3

(for 3-dimensional system)

For a n-dimensional system,

success probability

=

 

Slide15

Experimental Realization?

Slide16

Thank You