Reviving the precision of multiple entangled probes in an open system by simple $\pi$-pulse sequences

Abstract

Quantum metrology with entangled states in realistic noisy environments always suffers from decoherence. Therefore, the measurement precision is greatly reduced. Here we applied the dynamical decoupling method to protect the $N$-qubit quantum metrology protocol and successfully revived the scaling of the measurement precision as $N^{-k}$ with $k\in \left[5/6,11/12\right]$. The degree of the precision revival, as determined by the noise spectrum distribution, indicates that the performance of the protected protocol can be further improved by controlling the noise spectrum. Such a protected protocol is proved to be universal for entanglement-based quantum metrology in the pure dephasing and relaxation noise, which should stimulate the development of practical quantum metrology for weak signal detection of microscopic physics.

8 pages, 4 figures, to appear in PRA

References in corpus (5)

• How to Enhance Dephasing Time in Superconducting Qubits
• Extending Quantum Coherence in Diamond
• Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Experimental demonstration of phase measurement precision beating standard quantum limit by projection measurement

Cited by in corpus (5)

• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Non-Markovianity-assisted high-fidelity Deutsch-Jozsa algorithm in diamond
• Quantum metrology in the noisy intermediate-scale quantum era
• Optimal demonstration of Autler Townes splitting
• Experimental implementation of universal holonomic quantum computation on solid-state spins with optimal control