Protocol using kicked Ising dynamics for generating states with maximal multipartite entanglement

Abstract

We present a solvable model of iterating cluster state protocols that lead to entanglement production, between contiguous blocks, of 1 ebit per iteration. This continues till the blocks are maximally entangled at which stage an unravelling begins at the same rate till the blocks are unentangled. The model is a variant of the transverse field Ising model and can be implemented with CNOT and single qubit gates. The inter qubit entanglement as measured by the concurrence is shown to be zero for periodic chain realizations while for open boundaries there are very specific instances at which these can develop. Thus we introduce a class of simply produced states with very large multipartite entanglement content of potential use in measurement based quantum computing.

7 pages, 3 figures

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• Pulse and quench induced dynamical phase transition in a chiral multiferroic spin chain
• Quantum signatures of chaos, thermalization and tunneling in the exactly solvable few body kicked top
• Quantum chaos, thermalization and tunneling in an exactly solvable few body system
• Entanglement entropy in a periodically driven quantum Ising chain
• Controlled generation of genuine multipartite entanglement in Floquet Ising spin models
• Floquet integrability and long-range entanglement generation in the one-dimensional quantum Potts model
• Unraveling the emergence of quantum state designs in systems with symmetry
• Characteristic, dynamic, and near saturation regions of Out-of-time-order correlation in Floquet Ising models
• Exactly solvable dynamics and signatures of integrability in an infinite-range many-body Floquet spin system
• Signatures of Integrability and Exactly Solvable Dynamics in an Infinite-Range Many-Body Floquet Spin System
• Kicked-Ising Quantum Battery
• Exact Solvability Of Entanglement For Arbitrary Initial State in an Infinite-Range Floquet System
• Floquet thermalization by power-law induced permutation symmetry breaking
• Characterizing quantum dynamics using multipartite entanglement generation
• Out-of-time-order correlators of nonlocal block-spin and random observables in integrable and nonintegrable spin chains