Carrier and Sidebands

Carrier Matches the Internal Gap

A carrier drive matches the ion's internal energy gap while leaving the motional packet index unchanged. The equality is exact only for the declared gap, packet index, and ideal drive model; real traps add linewidths, detuning error, Rabi-rate calibration, off-resonant sideband coupling, motional heating, and state-readout uncertainty.

Carrier drives change internal state without changing packet index. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The sideband cites the trap gap and packet spacing

The trap source has gap 8 joules and spacing 2 joules.

ΔE=8 J,hνm=2 J\Delta E=8\ \text{J},\quad h\nu_m=2\ \text{J}
Carrier drive sourceThe drive will cite this trap source.lowerEnergy=0 JupperEnergy=8 JqubitGap=8 JpacketIndex=2 packetmodeSpacing=2 JmotionalEnergy=4 JreadoutBit=1 bit

Carrier drive matches the internal gap and leaves motion unchanged

The drive energy is 8 joules, taking packet 2 to packet 2.

8 J,2→28\ \text{J},\quad 2\to 2
Carrier driveThe drive energy and packet update are checked together.driveEnergy=8 JstartPacket=2 packetendPacket=2 packetmatchedBit=1 bitacceptedBit=1 bit