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.

We have published a new paper on arXiv. This one is about a new DAQC protocol for Hamiltonian simulation. This has been a nice colaboration between the quantum computing group at the DLR in germany and the UPV/EHU at the basque country. scirate.com/arxiv/2511.1...

Happy to see the results of the collaboration between Philipp Hauke's group at UniTrento and @nquirec.bsky.social here at the @ehu.eus published on PRR. If you like to optimize your circuits using symmetries, you should take a look doi.org/10.1103/6ldg-3w1f

Task for my last day of work before my unpaid leave I took for writing my PhD thesis: save and classify +200 arXiv papers.

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.