We consider the Bose-Hubbard model in two and three spatial dimensions numerically compute quantum circuit complexity of ground state Mott insulator superfluid phases using a mean field approximation with additional quadratic fluctuations. After mapping to qubit system, result is given by associated Bogoliubov transformation applied reference taken be state. In particular, has peaks at $O(2)$ c...

Motivated by recent studies of circuit complexity in weakly interacting scalar field theory, we explore the computation Z2 Even Effective Field Theories (Z2 EEFTs). We consider a massive free theory with higher-order Wilsonian operators such as ϕ4, ϕ6, and ϕ8. To facilitate our computation, regularize putting it on lattice. First, simple case two oscillators later generalize results to N oscill...

Notions of circuit complexity and cost play a key role in quantum computing simulation where they capture the (weighted) minimal number gates that is required to implement unitary. Similar notions also become increasingly prominent high energy physics study holography. While entanglement have general little implications for unitary, this note, we discuss simple such relationship when both state...

We study the quantum circuit complexity of cosmological perturbations in different models early universe. A natural measure for is based on symplectic group, allowing us to identify with geodesics hyperbolic plane. investigate both mode functions and physical perturbations, arguing that latter often provides a more insightful description physics involved. In all total reached rather large. Infl...