Quantum Information with Solid-State Devices VO 141.246 SS2012 - - PowerPoint PPT Presentation

quantum information with solid state devices
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Quantum Information with Solid-State Devices VO 141.246 SS2012 - - PowerPoint PPT Presentation

Quantum Information with Solid-State Devices VO 141.246 SS2012 Dr. Johannes Majer Lecture 9 Coaxial Line r o r i r Transmission Line Resonator B E Coplanar Waveguide - - + + Transmission Line Resonator Z0 C in C out 1 2 L


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SLIDE 1

Quantum Information with Solid-State Devices

VO 141.246 SS2012

  • Dr. Johannes Majer

Lecture 9

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SLIDE 2

Coaxial Line

r r

  • ri
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SLIDE 3

Transmission Line Resonator

Coplanar Waveguide

+ +

  • E

B

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SLIDE 4

Transmission Line Resonator

Cin

1 2

Cout Z0 L

0.5 1.0 1.5 2.0 2.5 3.0 3.5 Ν 0.2 0.4 0.6 0.8 1.0 »S21»2

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SLIDE 5

Superconducting Resonator

6.30358 6.3036 6.30362 6.30364 6.30366 6.30368 6.3037 −46 −44 −42 −40 −38 −36 −34 −32 −30 −28 −26 Q: 491205.9163 f: 6.3036384e+09 Frequency (GHz) S21 (dB)

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SLIDE 6

circuit QED

~6 GHz

⇥n⇤ 1

number of photons in the resonator

Drive Amplifier

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SLIDE 7

The Chip

Coupling Capacitor ‘mirror’ Qubit ‘atom’

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SLIDE 8

Jaynes-Cummings

|e |e |g |g

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SLIDE 9

Vacuum Rabi Splitting

quton phobit

|g⇥ |1⇥ |e⇥ |0⇥ |g |1 + |e |0

|g |e