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Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery

2018/08/31 by Yanming Che, Jing Liu, Xiao-Ming Lu +1
Computer Science · Physics and Astronomy · #Coherence (philosophical gambling strategy) #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Dephasing #Interferometry #Noise (video) #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum decoherence #Quantum error correction #Quantum mechanics #Quantum metrology #Quantum network #Qubit #Statistical physics #quant-ph

paper · pdf · doi:10.1103/physreva.99.033807

published as Phys. Rev. A 99, 033807 (2019) · 9 pages, 4 figures

openalex publication_date 2019/03/04 · arxiv created 2019/03/05 · arxiv updated 2019/03/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Most matter-wave interferometry (MWI) schemes for quantum sensing have so far been evaluated in ideal situations without noise. In this work, we provide assessments of generic multiqubit MWI schemes under Markovian dephasing noise. We find that, for certain classes of the MWI schemes with scale factors that are nonlinearly dependent on the interrogation time, the optimal precision of maximally entangled probes decreases with increasing particle number N, for both independent and collective dephasing situations. This result challenges the conventional wisdom found in dephasing Ramsey-type interferometers. We initiate the analyses by investigating the optimal precision of multiqubit Sagnac atom interferometry for rotation sensing. And we show that, due to the competition between the unconventional interrogation-time quadratic phase accumulation and the exponential dephasing processes, the Greenberger--Horne--Zeilinger (GHZ) state, which is the optimal input state in noiseless scenarios, leads to vanishing quantum Fisher information in the large-N regime. Then our assessments are further extended to generic MWI schemes for quantum sensing with entangled states and under decoherence. Finally, a quantum error-correction logical GHZ state is tentatively analyzed, which could have the potential to recover the Heisenberg scaling and improve the sensitivity.

Citations