Generating GHZ states with squeezing and post-selection

Abstract

Many quantum state preparation methods rely on a combination of dissipative quantum state initialization, followed by unitary evolution to a desired target state. Here we demonstrate the usefulness of quantum measurement as an additional tool for quantum state preparation. Starting from a pure separable multipartite state, a control sequence, which includes rotation, spin squeezing via one-axis twisting, quantum measurement and post-selection, generates a highly entangled multipartite state, which we refer to as Projected Squeezed states (or PS states). Through an optimization method, we then identify parameters required to maximize the overlap fidelity of the PS states with the maximally entangled Greenberger-Horne-Zeilinger states (or GHZ states). The method leads to an appreciable decrease in state preparation time of GHZ states when compared to preparation through unitary evolution with one-axis twisting only.

9 pages, 15 figures

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• Initial-state-dependent quantum speed limit for dissipative state preparation: Framework and optimization
• Achieving the Heisenberg limit of metrology via measurement on an ancillary qubit
• Coherent Generation and Protection of Anticoherent Spin States
• Robustness of the projected squeezed state protocol
• Exactly-solved model of light-scattering errors in quantum simulations with metastable trapped-ion qubits