Spatial noise filtering through error correction for quantum sensing
arXiv:1708.06729 · doi:10.1038/s41534-018-0082-2
Abstract
Quantum systems can be used to measure various quantities in their environment with high precision. Often, however, their sensitivity is limited by the decohering effects of this same environment. Dynamical decoupling schemes are widely used to filter environmental noise from signals, but their performance is limited by the spectral properties of the signal and noise at hand. Quantum error correction schemes have therefore emerged as a complementary technique without the same limitations. To date, however, they have failed to correct the dominant noise type in many quantum sensors, which couples to each qubit in a sensor in the same way as the signal. Here we show how quantum error correction can correct for such noise, which dynamical decoupling can only partially address. Whereas dynamical decoupling exploits temporal noise correlations in signal and noise, our scheme exploits spatial correlations. We give explicit examples in small quantum devices and demonstrate a method by which error-correcting codes can be tailored to their noise.
8 pages, 2 figures, RevTeX 4.1. v2: Updated to match published version
References in corpus (9)
- 14-qubit entanglement: creation and coherence
- Optimized Dynamical Decoupling in a Model Quantum Memory
- 'Designer atoms' for quantum metrology
- Performance and structure of single-mode bosonic codes
- Spectroscopy of Surface-Induced Noise Using Shallow Spins in Diamond
- Achieving the Heisenberg limit in quantum metrology using quantum error correction
- Electron spin decoherence in isotope-enriched silicon
- Continuous quantum error correction for non-Markovian decoherence
- A Stochastic Liouville Equation Approach for the Effect of Noise in Quantum Computations
Cited by in corpus (38)
- Sensitivity Optimization for NV-Diamond Magnetometry
- Challenges and Opportunities in Quantum Machine Learning
- A Geometric Perspective on Quantum Parameter Estimation
- Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits
- Restoring Heisenberg scaling in noisy quantum metrology by monitoring the environment
- Continuous symmetries and approximate quantum error correction
- Ancilla-free quantum error correction codes for quantum metrology
- -Corrected Heisenberg Limit
- Asymptotic theory of quantum channel estimation
- Multiparameter quantum estimation of noisy phase shifts
- Using Quantum Metrological Bounds in Quantum Error Correction: A Simple Proof of the Approximate Eastin-Knill Theorem
- Optimal probes and error-correction schemes in multi-parameter quantum metrology
- Optimal distributed sensing in noisy environments
- Tensor-Network Approach for Quantum Metrology in Many-Body Quantum Systems
- New perspectives on covariant quantum error correction
- Noise spectroscopy of a quantum-classical environment with a diamond qubit
- Optimal approximate quantum error correction for quantum metrology
- Bias in error-corrected quantum sensing
- Distinguishing between quantum and classical Markovian dephasing dissipation
- Efficient quantum error correction of dephasing induced by a common fluctuator
- Entanglement dynamics of an arbitrary number of moving qubits in a common environment
- Approximate decoherence free subspaces for distributed sensing
- Practical Limits of Error Correction for Quantum Metrology
- Optimizing NMR quantum information processing via generalized transitionless quantum driving
- Fault-tolerant quantum metrology
- Ramsey Interferometry in Correlated Quantum Noise Environments
- Exploring classical correlations in noise to recover quantum information using local filtering
- Frequency estimation under non-Markovian spatially correlated quantum noise: Restoring superclassical precision scaling
- Time-local optimal control for parameter estimation in the Gaussian regime
- Self-consistent noise characterization of quantum devices
- Heisenberg-limited metrology with perturbing interactions
- Optimal distributed multiparameter estimation in noisy environments
- Dephasing-tolerant quantum sensing for transverse magnetic fields with spin qudits
- Robustness-optimized quantum error correction
- Universal bounds for quantum metrology in the presence of correlated noise
- Achieving Heisenberg limit under General Markov Noise without Ancilla
- Super-quantum discord in ferromagnetic and antiferromagnetic materials
- Platform tailored co-design of gate-based quantum simulation