Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
arXiv:2204.10798 · doi:10.1088/1367-2630/ac92a2
Abstract
We study the estimation precision attainable by entanglement-enhanced Ramsey interferometry in the presence of spatiotemporally correlated non-classical noise. Our analysis relies on an exact expression of the reduced density matrix of the qubit probes under general zero-mean Gaussian stationary dephasing, which is established through cumulant-expansion techniques and may be of independent interest in the context of non-Markovian open dynamics. By continuing and expanding our previous work [Beaudoin et al., Phys. Rev. A 98, 020102(R) (2018)], we analyze the effects of a non-collective coupling regime between the qubit probes and their environment, focusing on two limiting scenarios where the couplings may take only two or a continuum of possible values. In the paradigmatic case of spin-boson dephasing noise from a thermal environment, we find that it is possible to suppress, on average, the effect of spatial correlations by randomizing the location of the probes, as long as enough configurations are sampled where noise correlations are negative. As a result, superclassical precision scaling is asymptotically restored for initial entangled states, including experimentally accessible one-axis spin-squeezed states.
arXiv comment26 + 12 pages, 6 figures
References in corpus (81)
- Observation of Gravitational Waves from a Binary Black Hole Merger
- Quantum sensing
- Advances in Quantum Metrology
- Quantum-enhanced measurements: beating the standard quantum limit
- Introduction to Quantum Noise, Measurement and Amplification
- Quantum metrology with nonclassical states of atomic ensembles
- 14-qubit entanglement: creation and coherence
- On the Improvement of Frequency Stardards with Quantum Entanglement
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Quantum Computers and Dissipation
- Dynamical decoupling and noise spectroscopy with a superconducting flux qubit
- Quantum spin squeezing
- The elusive Heisenberg limit in quantum enhanced metrology
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Quantum Metrology in Non-Markovian Environments
- Quantum spin dynamics and entanglement generation with hundreds of trapped ions
- Quantum enhanced measurements without entanglement
- Magnetic sensitivity beyond the projection noise limit by spin squeezing
- Dynamical decoupling noise spectroscopy
- Phonon-induced spin-spin interactions in diamond nanostructures: application to spin squeezing
- Magnetic field sensing beyond the standard quantum limit using 10-spin NOON states
- Scalable Spin Squeezing for Quantum-Enhanced Magnetometry with Bose-Einstein Condensates
- Approaching the Heisenberg limit without single-particle detection
- Decoherence of quantum registers
- Magnet field sensing beyond the standard quantum limit under the effect of decoherence
- Random decoupling schemes for quantum dynamical control and error suppression
- Rotating-frame relaxation as a noise spectrum analyzer of a superconducting qubit undergoing driven evolution
- Observation of classical-quantum crossover of 1/f flux noise and its paramagnetic temperature dependence
- Multiqubit Spectroscopy of Gaussian Quantum Noise
- Quantum Limits of Thermometry
- Quantum metrology with full and fast quantum control
- Assessment of a silicon quantum dot spin qubit environment via noise spectroscopy
- Evaluating the Holevo Cramér-Rao bound for multi-parameter quantum metrology
- Unital Quantum Channels - Convex Structure and Revivals of Birkhoff's Theorem
- A General Transfer-Function Approach to Noise Filtering in Open-Loop Quantum Control
- Distinguishing coherent and thermal photon noise in a circuit QED system
- Bayesian quantum frequency estimation in presence of collective dephasing
- Quantum radar
- Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits
- On Random Unitary Channels
- Ancilla-free quantum error correction codes for quantum metrology
- Improved Quantum Magnetometry beyond the Standard Quantum Limit
- Spectrum of the Nuclear Environment for GaAs Spin Qubits
- Quantum frequency estimation with trapped ions and atoms
- Inverting quantum decoherence by classical feedback from the environment
- Quantum metrology in the presence of limited data
- Application of optimal band-limited control protocols to quantum noise sensing
- Entanglement-based dc magnetometry with separated ions
- Precision Limits in Quantum Metrology with Open Quantum Systems
- Simulating Open Quantum Systems with Hamiltonian Ensembles and the Nonclassicality of the Dynamics
- Quantum Decoherence of Two Qubits
- Quantum metrology in the presence of spatially correlated noise: Restoring Heisenberg scaling
- Dynamical control of qubit coherence: Random versus deterministic schemes
- Classical Simulation of Quantum Noise
- Spatial noise filtering through error correction for quantum sensing
- Ramsey interferometry with generalized one-axis twisting echoes
- Scalable Loading of a Two-Dimensional Trapped-Ion Array
- Limits on Preserving Quantum Coherence using Multi-Pulse Control
- Vacuum spin squeezing
- Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
- Quantifying the nonclassicality of pure dephasing
- Quantum metrology beyond the classical limit under the effect of dephasing
- Towards optimized suppression of dephasing in systems subject to pulse timing constraints
- Spatial Noise Correlations in a Si/SiGe Two-Qubit Device from Bell State Coherences
- Impact of Non-Unitary Spin Squeezing on Atomic Clock Performance
- Suppression of dephasing by qubit motion in superconducting circuits
- Characterization of Decoherence from an Environmental Perspective
- Extending comb-based spectral estimation to multiaxis quantum noise
- Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
- Saturating the quantum Cramér-Rao bound using LOCC
- The quantum Allan variance
- Decoherence in a N-qubit solid-state quantum computer
- Parameter estimation in a memory-assisted noisy quantum interferometry
- Generalized Coherent States as Preferred States of Open Quantum Systems
- Experimental quantification of spatial correlations in quantum dynamics
- Detecting mixed-unitary quantum channels is NP-hard
- Ramsey Interferometry in Correlated Quantum Noise Environments
- Quantum metrology with one auxiliary particle in a correlated bath and its quantum simulation
- Mathematical Models of Markovian Dephasing
- Restoring Heisenberg limit via collective non-Markovian dephasing
- Probing bath-induced entanglement in a qubit pair by measuring photon correlations
Cited by in corpus (5)
- Heisenberg-limited metrology with perturbing interactions
- Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
- Quantum Error Corrected Non-Markovian Metrology
- Universal bounds for quantum metrology in the presence of correlated noise
- Quantifying spectral signatures of non-Markovianity beyond the Born-Redfield master equation