Multiqubit matter-wave interferometry under decoherence and the Heisenberg scaling recovery
arXiv:1808.04632 · doi:10.1103/PhysRevA.99.033807
Abstract
Most matter-wave interferometry (MWI) schemes for quantum sensing are so far evaluated in ideal situations without noises. In this work, we provide assessments of generic multiqubit MWI schemes under Markovian dephasing noises. 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 \emph{decreases} with increasing the particle number , 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- 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.
arXiv comment9 pages, 4 figures
References in corpus (54)
- Theory of Bose-Einstein condensation in trapped gases
- Quantum sensing
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantum metrology
- Multi-particle entanglement of hot trapped ions
- On the Improvement of Frequency Stardards with Quantum Entanglement
- Nonlinear atom interferometer surpasses classical precision limit
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Atom chip based generation of entanglement for quantum metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- The elusive Heisenberg limit in quantum enhanced metrology
- Quantum Metrology in Non-Markovian Environments
- Quantum error correction in a solid-state hybrid spin register
- Quantum speed limit for physical processes
- Generalized Limits for Single-Parameter Quantum Estimation
- Fisher information under decoherence in Bloch representation
- Improved quantum metrology using quantum error-correction
- Quantum Error Correction for Metrology
- Long-Term Stability of an Area-Reversible Atom-Interferometer Sagnac Gyroscope
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Quantum Fisher information of entangled coherent state in the presence of photon losses: exact solution
- Increasing sensing resolution with error correction
- Optimal adaptive control for quantum metrology with time-dependent Hamiltonians
- Quantum metrology for a general Hamiltonian parameter
- Quantum metrology enhanced by repetitive quantum error correction
- Efficient multiparticle entanglement via asymmetric Rydberg blockade
- Autonomous Quantum Error Correction and Application to Quantum Sensing with Trapped Ions
- Adaptive quantum metrology under general Markovian noise
- The Sagnac effect: 20 years of development in matter-wave interferometry
- Quantum parameter estimation with optimal control
- Adiabatic Mach-Zehnder Interferometry on A Quantized Bose-Josephson Junction
- Entanglement and sensitivity in precision measurements with states of a fluctuating number of particles
- Quantum Fisher information for density matrices with arbitrary ranks
- Control-enhanced multiparameter quantum estimation
- Sagnac Interferometry Using Bright Matter-Wave Solitons
- Quantum metrology with unitary parametrization processes
- Coherent superposition of current flows in an Atomtronic Quantum Interference Device
- Robust quantum metrological schemes based on protection of quantum Fisher information
- Quantum frequency estimation with trapped ions and atoms
- Heisenberg-limited interferometry with pair coherent states and parity measurements
- Sagnac interferometry with a single atomic clock
- Rotational Response of Two-Component Bose-Einstein Condensates in Ring Traps
- Effect of phase noise on useful quantum correlations in Bose Josephson junctions
- Decoherence and entanglement in a bosonic Josephson junction: Bose-enhanced quantum-Zeno control of phase-diffusion
- Mean-field Dynamics and Fisher Information in matterwave Interferometry
- Atom Interferometer Gyroscope with Spin-Dependent Phase Shifts Induced by Light near a Tune-Out Wavelength
- Control methods for improved Fisher information with quantum sensing
- Optimal Matterwave Gravimetry
- Heisenberg-limited Sagnac Interferometer with Multi-particle States
- Spin-orbit coupled interferometry with ring-trapped Bose--Einstein condensates
- Parameter estimation in a memory-assisted noisy quantum interferometry
- Criticality and Spin Squeezing in the Rotational Dynamics of a BEC on a Ring Lattice
- Quantum-enhanced interferometry and the structure of twisted states
- Effect of collision dephasing on atomic evolutions in a high-Q cavity
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