Abstract: Quantum error correction is a powerful method for protecting a quantum system from the damaging effects of noise. Besides computation and communication, quantum error correction can also improve the performance of quantum sensing and quantum simulation. We study how measurement precision can be enhanced through quantum error correction by identifying a necessary and sufficient condition for achieving the Heisenberg limit using quantum probes subject to Markovian noise. We develop a new class of bosonic encoding that can preserve the bosonic nature at the logical level while correcting excitation loss error, which will enable error-corrected quantum simulation. The talk will provide a perspective on using quantum error correction for various applications.
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