Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework

• URL: http://arxiv.org/abs/2503.13206v1
• Date: Mon, 17 Mar 2025 14:15:02 GMT
• Title: Enhanced Quantum Signal Control and Sensing Under Multicolored Noise via Generalized Filter Function Framework
• Authors: Zhi-Da Zhang, Yao Song, Wen-Zheng Dong, Xiu-Hao Deng,
• Abstract summary: We introduce a generalized filter-function framework that treats noise coupling strength as a tunable control parameter.<n>We design band-selective control pulses that achieve $0.9999$ fidelity of single- and two-qubit gates under strong noise.<n>We extend the method to selectively enhance the signal-to-noise ratio for quantum sensing of AC signals with an enhanced precision of up to $10$ dB.
• Score: 0.7343478057671143
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce a generalized filter-function framework that treats noise coupling strength as a tunable control parameter, enabling target noise suppression across user-defined frequency bands. By optimizing this generalized filter function, we design band-selective control pulses that achieve $0.9999$ fidelity of single- and two-qubit gates under strong noise with diverse spectral profiles. We further extend the method to selectively enhance the signal-to-noise ratio for quantum sensing of AC signals with an enhanced precision of up to $10$ dB. The resulting control pulses are experimentally feasible, offering a practical pathway toward robust quantum operations and high-precision signal processing under spectrally complex noises.

Related papers

• Resource-efficient digital characterization and control of classical non-Gaussian noise [0.0]
  We show the usefulness of frame-based characterization and control [PRX Quantum 2, 030315 (2021)] for non-Markovian open quantum systems subject to classical non-Gaussian dephasing.
  arXiv  Detail & Related papers  (2023-04-07T17:05:03Z)
• Digital noise spectroscopy with a quantum sensor [57.53000001488777]
  We introduce and experimentally demonstrate a quantum sensing protocol to sample and reconstruct the auto-correlation of a noise process. Walsh noise spectroscopy method exploits simple sequences of spin-flip pulses to generate a complete basis of digital filters. We experimentally reconstruct the auto-correlation function of the effective magnetic field produced by the nuclear-spin bath on the electronic spin of a single nitrogen-vacancy center in diamond.
  arXiv  Detail & Related papers  (2022-12-19T02:19:35Z)
• Quantum-enhanced absorption spectroscopy with bright squeezed frequency combs [91.3755431537592]
  We propose a strategy combining the advantages of frequency modulation spectroscopy with the reduced noise properties accessible by squeezing the probe state. A homodyne detection scheme allows the simultaneous measurement of the absorption at multiple frequencies. We predict a significant enhancement of the signal-to-noise ratio that scales exponentially with the squeezing factor.
  arXiv  Detail & Related papers  (2022-09-30T17:57:05Z)
• Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control [50.591267188664666]
  We numerically study the implementation of a universal two-qubit gate set, composed of CNOT, Hadamard, phase and $pi/8$ gates, for transmon-based systems. The control signals to implement such gates are obtained using the Chopped Random Basis optimal control technique, with a target gate infidelity of $10-2$.
  arXiv  Detail & Related papers  (2022-07-27T10:55:15Z)
• Designing Filter Functions of Frequency-Modulated Pulses for High-Fidelity Two-Qubit Gates in Ion Chains [3.2467045800438448]
  We develop filter functions for Molmer-Sorensen gates of trapped-ion quantum computers. We measure the noise spectrum of the motional modes and use it for designing the filter functions.
  arXiv  Detail & Related papers  (2022-06-22T05:23:12Z)
• Optimally Band-Limited Noise Filtering for Single Qubit Gates [0.0]
  We introduce a quantum control protocol that produces smooth, experimentally implementable control sequences optimized to combat temporally correlated noise for single qubit systems. In particular, we identify regimes of optimal noise suppression and in turn, optimal control bandwidth directly proportional to the size of the frequency bands where the noise power is large.
  arXiv  Detail & Related papers  (2022-06-07T18:00:01Z)
• Reverse engineering of one-qubit filter functions with dynamical invariants [0.0]
  We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost function which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density.
  arXiv  Detail & Related papers  (2022-04-18T17:59:58Z)
• Adaptive Low-Pass Filtering using Sliding Window Gaussian Processes [71.23286211775084]
  We propose an adaptive low-pass filter based on Gaussian process regression. We show that the estimation error of the proposed method is uniformly bounded.
  arXiv  Detail & Related papers  (2021-11-05T17:06:59Z)
• Accurate methods for the analysis of strong-drive effects in parametric gates [94.70553167084388]
  We show how to efficiently extract gate parameters using exact numerics and a perturbative analytical approach. We identify optimal regimes of operation for different types of gates including $i$SWAP, controlled-Z, and CNOT.
  arXiv  Detail & Related papers  (2021-07-06T02:02:54Z)
• Composably secure data processing for Gaussian-modulated continuous variable quantum key distribution [58.720142291102135]
  Continuous-variable quantum key distribution (QKD) employs the quadratures of a bosonic mode to establish a secret key between two remote parties. We consider a protocol with homodyne detection in the general setting of composable finite-size security. In particular, we analyze the high signal-to-noise regime which requires the use of high-rate (non-binary) low-density parity check codes.
  arXiv  Detail & Related papers  (2021-03-30T18:02:55Z)
• Noise Homogenization via Multi-Channel Wavelet Filtering for High-Fidelity Sample Generation in GANs [47.92719758687014]
  We propose a novel multi-channel wavelet-based filtering method for Generative Adversarial Networks (GANs) When embedding a wavelet deconvolution layer in the generator, the resultant GAN, called WaveletGAN, takes advantage of the wavelet deconvolution to learn a filtering with multiple channels. We conducted benchmark experiments on the Fashion-MNIST, KMNIST and SVHN datasets through an open GAN benchmark tool.
  arXiv  Detail & Related papers  (2020-05-14T03:40:11Z)
• Optimal control for quantum detectors [0.0]
  We find the optimal quantum control to detect an external signal in the presence of background noise using a quantum sensor. For white background noise, the optimal solution is the simple and well-known spin-locking control scheme. Results show that an optimal detection scheme can be easily implemented in near-term quantum sensors without the need for complicated pulse shaping.
  arXiv  Detail & Related papers  (2020-05-12T18:15:59Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.