  We demonstrate that exciting possible realizations of quantum Floquet matter
are within reach for modern silicon spin qubits based in quantum dots, most
notably the discrete time crystal (DTC). This is significant given that spin
qubits have fallen behind other qubit architectures in terms of size and
control. However, silicon spin qubits are especially well suited to this task
as the charge noise that usually foils gate operations can now be leveraged as
an asset in this time-crystal realization. We illustrate differences between
prethermal phenomena and true time-crystalline spatiotemporal order. We
demonstrate that even for a spin chain of four qubits, rich regime structures
can be established by observing signatures of the discrete time crystal and the
Floquet symmetry-protected topological regime both distinct from the thermal
regime. We also analyze the persistence of these signatures at longer chain
lengths, showing that the DTC lifetime grows exponentially with the system
length and that these signatures may even be detectable for chains as small as
three qubits. We also discuss the effects of longer pulse durations and the
effectiveness of pulse sequences for converting the exchange interaction to an
Ising model. Our theoretical predictions are well suited for immediate
experimental implementations using currently existing quantum dot spin qubit
systems.
