Many thanks to my awesome co-author Lukasz Cincio for this fun project

Concluding thread with a TL;DR

... and on Fault-Tolerant hardware, with similar reductions in required T-gates compared to Trotterized circuits.

More pressingly, we show that our optimised circuits can realise the time evolution unitary e^{-iHt} with shallower circuits than all equivalent depth Trotterizations.

This helps simulations on NISQ hardware, with reduced CNOT depths required to reach a target error rate, ...

Among a range of applications, we show that infinite ground states can be prepared to high accuracy

All circuits are generated through variational optimization of infinite layers, to maximise overlap with a target state.

Our unified approach to this compilation is a cost function based on 'local fidelities' between states, using operations on mixed transfer matrices.

🎹 We exploit translation invariance, a symmetry found in many physical systems

😅 Circuits describing these systems are vastly simpler, reducing optimization complexity

♾️ Our compilation is based on infinite MPS, creating efficient circuits ready to upload to the QC to access higher entanglement

Yes please!

Please add me, thanks

Please add me, thanks

Please add me, thanks