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
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Slide1
Linear Optical Quantum Computing
-Rishabh Sahu
Slide2Summary
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.
Slide3Two-qubit CZ gate
Control
Target
CZ
|0>
|0>
|0,0>
|0>
|1>
|0,1>
|1>
|0>
|1,0>
|1>
|1>-|1,1>> >
CZ
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Success probability is
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Quantum Teleportation Fix
Proposed by Gottesman and Chuang, 1999
Introduction
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Bell Measurement
Slide5Quantum Teleportation Fix
Several identities:
Slide6Quantum Teleportation Fix
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CZ
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Quantum Teleportation Fix
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CZ
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Quantum Teleportation Fix
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CZ
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Quantum Teleportation Fix
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CZ
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Quantum Teleportation Fix
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CZ
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Quantum Teleportation Fix
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CZ
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Offline
System
Slide12Quantum Teleportation using Linear Optics
Entangled
Resource
Dual-Rail
bit
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Quantum Teleportation using Linear Optics
Entangled
Resource
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Mode 1
QFT
Mode 2
Slide14Quantum 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
=
Experimental Realization?
Slide16Thank You