In the last few days, a Denial of Service attack was launched on universities in Israel, leading the administrators of the Israel Academic network to block access to it from the global internet. Consequently, websites such as ECCC have been accessible only from within the Israeli and European academic networks.
It seems that this blocking was just removed, and we hope it will not be put back in the future.
Needless to say, deciding on such blocking is not in our control, but we do apologize for this disruption of service.
We establish tight connections between entanglement entropy and the approximation error in Trotter–Suzuki product formulas for Hamiltonian simulation. Product formulas remain the workhorse of quantum simulation on near-term devices, yet standard error analyses yield worst-case bounds that can vastly overestimate the resources required for structured problems.
For systems governed by ... more >>>
Recently, together with Kulikov, Mihajlin, and Smirnova (STACS 2026), we gave conditional constructions of functions with large monotone circuit complexity, matrices with high rigidity, and $3$-dimensional tensors of strongly superlinear rank.
In this note, I strengthen the rigidity construction under the same assumption and, as a direct consequence, immediately obtain ...
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Determining the randomized (or distributional) communication complexity of disjointness is a central problem in communication complexity, having roots in the foundational work of Babai, Frankl, and Simon in the 1980s and culminating in the famous works of Kalyanasundaram-Schnitger and Razborov in 1992. However, the question of obtaining tight bounds for ... more >>>
