Accurate and Honest Approximation of Correlated Qubit Noise

• URL: http://arxiv.org/abs/2311.09305v1
• Date: Wed, 15 Nov 2023 19:00:34 GMT
• Title: Accurate and Honest Approximation of Correlated Qubit Noise
• Authors: F. Setiawan, Alexander V. Gramolin, Elisha S. Matekole, Hari Krovi, and Jacob M. Taylor
• Abstract summary: We propose an efficient systematic construction of approximate noise channels, where their accuracy can be enhanced by incorporating noise components with higher qubit-qubit correlation degree. We find that, for realistic noise strength typical for fixed-frequency superconducting qubits, correlated noise beyond two-qubit correlation can significantly affect the code simulation accuracy.
• Score: 39.58317527488534
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Accurate modeling of noise in realistic quantum processors is critical for constructing fault-tolerant quantum computers. While a full simulation of actual noisy quantum circuits provides information about correlated noise among all qubits and is therefore accurate, it is, however, computationally expensive as it requires resources that grow exponentially with the number of qubits. In this paper, we propose an efficient systematic construction of approximate noise channels, where their accuracy can be enhanced by incorporating noise components with higher qubit-qubit correlation degree. To formulate such approximate channels, we first present a method, dubbed the cluster expansion approach, to decompose the Lindbladian generator of an actual Markovian noise channel into components based on interqubit correlation degree. We then generate a $k$-th order approximate noise channel by truncating the cluster expansion and incorporating noise components with correlations up to the $k$-th degree. We require that the approximate noise channels must be accurate and also "honest", i.e., the actual errors are not underestimated in our physical models. As an example application, we apply our method to model noise in a three-qubit quantum processor that stabilizes a [[2,0,0]] codeword, which is one of the four Bell states. We find that, for realistic noise strength typical for fixed-frequency superconducting qubits coupled via always-on static interactions, correlated noise beyond two-qubit correlation can significantly affect the code simulation accuracy. Since our approach provides a systematic noise characterization, it enables the potential for accurate, honest and scalable approximation to simulate large numbers of qubits from full modeling or experimental characterizations of small enough quantum subsystems, which are efficient but still retain essential noise features of the entire device.

Related papers

• Optimized Noise Suppression for Quantum Circuits [0.40964539027092917]
  Crosstalk noise is a severe error source in, e.g., cross-resonance based superconducting quantum processors. Intrepid programming algorithm extends previous work on optimized qubit routing by swap insertion. We evaluate the proposed method by characterizing crosstalk noise for two chips with up to 127 qubits.
  arXiv  Detail & Related papers  (2024-01-12T07:34:59Z)
• Efficient reconstruction, benchmarking and validation of cross-talk models in readout noise in near-term quantum devices [3.1410859223862113]
  We introduce an appropriately tailored quantum detector tomography protocol, which enables efficient characterization of $k-$local cross-talk effects in the readout noise. We show that QDOT data provides information about suitably defined reduced POVM operators, correlations and coherences in the readout noise. We apply our method to investigate cross-talk effects on 79 qubit Rigetti and 127 qubit IBM devices.
  arXiv  Detail & Related papers  (2023-11-17T17:33:29Z)
• Characterizing low-frequency qubit noise [55.41644538483948]
  Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. The statistics of the fluctuations can be characterized by measuring the correlators of the outcomes of periodically repeated Ramsey measurements. This work suggests a method that allows describing qubit dynamics during repeated measurements in the presence of evolving noise.
  arXiv  Detail & Related papers  (2022-07-04T22:48:43Z)
• Characterizing and mitigating coherent errors in a trapped ion quantum processor using hidden inverses [0.20315704654772418]
  Quantum computing testbeds exhibit high-fidelity quantum control over small collections of qubits. These noisy intermediate-scale devices can support a sufficient number of sequential operations prior to decoherence. While the results of these algorithms are imperfect, these imperfections can help bootstrap quantum computer testbed development.
  arXiv  Detail & Related papers  (2022-05-27T20:35:24Z)
• C2N: Practical Generative Noise Modeling for Real-World Denoising [53.96391787869974]
  We introduce a Clean-to-Noisy image generation framework, namely C2N, to imitate complex real-world noise without using paired examples. We construct the noise generator in C2N accordingly with each component of real-world noise characteristics to express a wide range of noise accurately.
  arXiv  Detail & Related papers  (2022-02-19T05:53:46Z)
• Learning Noise via Dynamical Decoupling of Entangled Qubits [49.38020717064383]
  Noise in entangled quantum systems is difficult to characterize due to many-body effects involving multiple degrees of freedom. We develop and apply multi-qubit dynamical decoupling sequences that characterize noise that occurs during two-qubit gates.
  arXiv  Detail & Related papers  (2022-01-26T20:22:38Z)
• Mitigating depolarizing noise on quantum computers with noise-estimation circuits [1.3375143521862154]
  We present a method to mitigate the depolarizing noise by first estimating its rate with a noise-estimation circuit. We find that our approach in combination with readout-error correction, compiling, randomized, and zero-noise extrapolation produces results close to exact results even for circuits containing hundreds of CNOT gates.
  arXiv  Detail & Related papers  (2021-03-15T17:59:06Z)
• Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm [0.0]
  Noise mitigation can be performed up to some error for which we derive upper bounds. Experiments on 15 (23) qubits using IBM's devices to test both the noise model and the error-mitigation scheme. We show that similar effects are expected for Haar-random quantum states and states generated by shallow-depth random circuits.
  arXiv  Detail & Related papers  (2021-01-07T02:19:58Z)
• Efficient and robust certification of genuine multipartite entanglement in noisy quantum error correction circuits [58.720142291102135]
  We introduce a conditional witnessing technique to certify genuine multipartite entanglement (GME) We prove that the detection of entanglement in a linear number of bipartitions by a number of measurements scales linearly, suffices to certify GME. We apply our method to the noisy readout of stabilizer operators of the distance-three topological color code and its flag-based fault-tolerant version.
  arXiv  Detail & Related papers  (2020-10-06T18:00:07Z)
• A deep learning model for noise prediction on near-term quantum devices [137.6408511310322]
  We train a convolutional neural network on experimental data from a quantum device to learn a hardware-specific noise model. A compiler then uses the trained network as a noise predictor and inserts sequences of gates in circuits so as to minimize expected noise.
  arXiv  Detail & Related papers  (2020-05-21T17:47:29Z)

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.