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Large multipartite quantum systems tend to rapidly reach extraordinary levels of complexity as their number of constituents and entanglement links grow. Here we use complex network theory to study a class of continuous variables quantum states that present both multipartite entanglement and nonGaussian statistics. In particular, the states are built from an initial imprinted cluster state created via Gaussian entangling operations according to a complex network structure. To go beyond states that can be easily simulated via classical computers we engender nonGaussian statistics via multiple photon subtraction operations. We then use typical networks measures, the degree and clustering, to characterizemore »

Highfidelity single and twoqubit gates are essential building blocks for a faulttolerant quantum computer. While there has been much progress in suppressing singlequbit gate errors in superconducting qubit systems, twoqubit gates still suffer from error rates that are orders of magnitude higher. One limiting factor is the residual ZZinteraction, which originates from a coupling between computational states and higherenergy states. While this interaction is usually viewed as a nuisance, here we experimentally demonstrate that it can be exploited to produce a universal set of fast single and twoqubit entangling gates in a coupled transmon qubit system. To implement arbitrary singlequbitmore »

The BBM is a promising candidate to study spinone systems and to design quantum simulators based on its underlying Hamiltonian. The variety of different phases contains amongst other valuable and exotic phases the Haldane phase. We study the KibbleZurek physics of linear quenches into the Haldane phase. We outline ideal quench protocols to minimize defects in the final state while exploiting different linear quench protocols via the uniaxial or interaction term. Furthermore, we look at the fate of the string order when quenching from a topologically nontrivial phase to a trivial phase. Our studies show this depends significantly on themore »

Cellular automata are interacting classical bits that display diverse behaviors, from fractals to randomnumber generators to Turingcomplete computation. We introduce entangled quantum cellular automata subject to Goldilocks rules, tradeoffs of the kind underpinning biological, social, and economic complexity. Tweaking digital and analog quantumcomputing protocols generates persistent entropy fluctuations; robust dynamical features, including an entangled breather; and network structure and dynamics consistent with complexity. Presentday quantum platformsRydberg arrays, trapped ions, and superconducting qubitscan implement Goldilocks protocols, which generate quantum manybody states with rich entanglement and structure. Moreover, the complexity studies reported here underscore an emerging idea in manybody quantum physics: somemore »