Shared Mode

Blue Sideband on the Other Ion Updates the Same Mode

A blue sideband pulse on a second ion adds one motional packet to the same shared mode ledger, so both ions write to one common count. The drive moves the shared packet from 2 to 3 exactly for the stated addressed ion and ideal sideband model; real traps have heating, detuning, pulse-area error, spectator modes, state-preparation error, photon-count shot noise, threshold drift, and calibration uncertainty.

The other ion cites the same shared mode contract. 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 addressed ion uses a checked drive

The drive starts from packet 2 and ends at packet 3.

2→32\to 3
Blue sideband updates shared mode driveThe drive packet update is checked first.driveEnergy=10 JstartPacket=2 packetendPacket=3 packetmatchedBit=1 bitacceptedBit=1 bit

A blue sideband on ion B raises the same shared packet

Ion B cites the same shared packet ledger, ending at packet 3.

nshared:2→3n_{\text{shared}}:2\to 3
Blue sideband updates shared modeThe shared-mode check cites the drive and trap source.driveEnergy=10 JstartPacket=2 packetendPacket=3 packetmatchedBit=1 bitacceptedBit=1 bitionA=AionB=BaddressedIon=BstartPacket=2 packetendPacket=3 packetacceptedBit=1 bit