Titlebook: Entanglement in Spin Chains; From Theory to Quant Abolfazl Bayat,Sougato Bose,Henrik Johannesson Book 2022 The Editor(s) (if applicable) an

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https://doi.org/10.1007/978-3-030-40220-4end non-linearly on the state, so the standard approach to quantify entanglement would require a complete state tomography, a highly demanding and not scalable experimental procedure, followed by complex manipulations of matrices whose dimension increases exponentially in the number of qubits. Here,

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https://doi.org/10.1057/9781137370723ion of the system, and it is possible if and only if all the Rényi entropies of the initial state are smaller than those of the target state. We apply this concept to adiabatic evolutions and ask whether they can be rendered through LOCC in the sense above. We argue that a lack of differential local

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https://doi.org/10.1007/978-981-97-3500-6ially intractable to simulate, the statistical properties of random ensembles obey simple universal “laws.” This same philosophy promises powerful methods for studying the dynamics of quantum information in ideal and noisy quantum circuits—for which classical description of individual circuits is ex

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https://doi.org/10.1007/978-981-13-3453-5 these systems, correlations tend to spread, and entanglement builds up in a way constrained by a so-called Lieb–Robinson bound—where the development of correlations in time is strong within a lightcone (often determined away from criticality by the maximum group velocity for quasiparticles in a sys