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RESONATORS

A resonator on a chip

Coplanar waveguide A strip of metal between two ground planes.
Quarter wave Length sets frequency: about 4.5 mm for 6.6 GHz.
Meander Folded up to fit beside the qubit.
A resonator is just a carefully cut length of line.

QUALITY FACTOR

How long does it ring?

Q = f/Δf A narrow dip means a long ring.
Readout Kept leaky (low Q) so the signal comes out fast.
Materials tests A Q of a million reveals tiny losses.
Q is a fab's favourite measure of material loss.

DISPERSIVE READOUT

Listening to the qubit

Frequency shift The qubit moves the resonator by ±χ.
Gentle A weak tone reads the state without flipping it.
Best spot Probe between the two dips.
We never measure the qubit directly, only its resonator.

SINGLE SHOT

One measurement, one answer

Two clouds Shots of 0 and 1 form two blobs.
Trade-off Longer beats the noise but lets the qubit decay.
State of the art About 99% accuracy in a few hundred nanoseconds.
Readout has to be both fast and accurate.

AMPLIFIERS

Amplifying a whisper

Parametric amplifier Close to the quantum limit, at 10 mK.
HEMT A low-noise transistor amplifier at 4 K.
Isolators Keep amplifier noise away from the qubits.
A chain of amplifiers turns a few photons into a 0 or a 1.

UNIT 19 STUDY COMPLETE

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Ready for the Fab Challenge?

You've tuned a resonator, read a qubit through it, optimised single-shot readout and followed the signal up the amplifier chain.