A Spinwave Time-Multiplexed Ising Machine

We present a spinwave-based time-multiplexed Ising Machine (SWIM) where artificial Ising spins are formed with ns-long spinwave RF pulses propagating in a delay line based on $5-\mu m$ thick Yttrium Iron Garnet (YIG) film. The phase of artificial Ising spins is binarized using an off-the-shelf phase-sensitive microwave amplifier and the coupling between spins is implemented with microwave delay cables. Thanks to the very low spinwave group velocity, the 7-mm long YIG delay line can host an 8-spin MAX-CUT combinatorial optimization problem and solve it in less than 4 $\mu s$ while consuming only 7 $\mu J$ .