@nquirec.bsky.social @dlr-en.bsky.social @ehu.eus @OpenSuperQPlus100

The new protocol allow us to design a DAQC circuit to simulate an arbitrary two body Hamiltonian, which only requires O(n^3) classical computation time, compared with the O(exp(n)) of previous protocols. The result is a DAQC circuit with arbitrary SQR and suboptimal total circuit time.

It is always a pleasure to collaborate with Alberto, and the team with Pranav and @koushikphy.bsky.social worked so well together!

Good fire or bad fire?

Documento histórico, yo lo conocía del primer disco del Reno Renardo youtu.be/lf4hrQ19rng

This extend the possible applicability of DAQC protocols in the near future with softer requirements on the noise scaling. While previously DAQC was envisioned as a practical way of working with NISQ devices, now it opens the door to efficient implementations for larger systems.

@qmisanz.bsky.social, @nquirec.bsky.social, @tecnalia.bsky.social, @upvehu.bsky.social, @maxplanck.de, @univie.ac.at

This work was possible with the support of Tecnalia, the UPV/EHU, the Max Plank Institute, the University of Vienna, Ikerbasque and BCAM. We also acknowledge the OpenSuperQ+100, the Ikur strategy proyects, and Basque and Austrian goverments support.

The downside however is that this error mitigation protocol requires a protocol with a larger total circuit time, thus, one need to decide if applying it is worth it or not.

What is even better, is that we have found a natural way of reducing these errors in DAQC protocols by targeting the interactions assumed that are 0 but could have some unwanted contribution.

As the interaction Hamiltonian is an important piece for DAQC, errors in its characterization affect the results of the circuit. We study this by bounding the errors in quantum simulation and in expectation value estimation tasks, and we find they can only grow polynomically with the system size.

For the ones not familiar with DAQC, it is a computational paradigm that employs the natural interaction Hamiltonian and single qubit gates to perform universal computations. This allows us to have the robustness of the analog paradigm while having the flexibility of gate-based quantum computing.

Ni me acuerdo la última vez que me suscribí en directo 😅