Measuring Loschmidt echo via Floquet engineering in superconducting circuits

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The Loschmidt echo is a useful diagnostic for the perfection of quantum time-reversal process and the sensitivity of quantum evolution to small perturbations.The main challenge for measuring the Loschmidt echo is the time reversal of a quantum evolution.In this work,we demonstrate the measurement of the Loschmidt echo in a superconducting 10-qubit system using Floquet engineering and discuss the imperfection of an initial Bell-state recovery arising from the next-nearest-neighbor(NNN)coupling present in the qubit device.Our results show that the Loschmidt echo is very sensitive to small perturbations during quantum-state evolution,in contrast to the quantities like qubit population that is often considered in the time-reversal experiment.These properties may be employed for the investigation of multiqubit system concerning many-body decoherence and entanglement,etc.,especially when devices with reduced or vanishing NNN coupling are used.
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