Probing non-Markovian qubit noise and modeling Post Markovian Master Equation
- URL: http://arxiv.org/abs/2510.12894v2
- Date: Sat, 18 Oct 2025 18:22:32 GMT
- Title: Probing non-Markovian qubit noise and modeling Post Markovian Master Equation
- Authors: Chun-Tse Li, Jingming Tan, Vasil Gucev, Daniel Lidar,
- Abstract summary: We employ the Post-Markovian Master Equation to characterize memory effects in the noise dynamics.<n>We experimentally validate the PMME framework using superconducting qubits on an IBM Quantum device.<n>We quantify the crosstalk effect using an information-theoretic approach and reveal that crosstalk can dominate the observed non-Markovian effects in current quantum hardware.
- Score: 0.7466390172678973
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding the noise characteristics of quantum processors is crucial when achieving fault-tolerant quantum computing. However, typical qubit designs are often studied under the Markovian approximation, which does not fully capture realistic dynamics. Factors such as qubit-qubit coupling and extended bath correlation times can introduce significant non-Markovian effects into the noise processes. In this study, we employ the Post-Markovian Master Equation (PMME) formalism to characterize memory effects in the noise dynamics. We further experimentally validate the PMME framework using superconducting qubits on an IBM Quantum device, demonstrating clear non-Markovian behavior during circuit execution. Additionally, we quantify the crosstalk effect using an information-theoretic approach and reveal that crosstalk can dominate the observed non-Markovian effects in current quantum hardware.
Related papers
- Entropic uncertainty under indefinite causal order and input-output direction [0.0]
We show that feeding Pauli channels into the quantum switch and the quantum time-flip can significantly reduce the total entropic uncertainty.<n>Our results reveal that indefinite causal order and input-output direction can serve as resources to mitigate the effects of noise.
arXiv Detail & Related papers (2025-11-18T06:57:50Z) - Crosstalk-Resilient Quantum MIMO for Scalable Quantum Communications [40.44880302154388]
Crosstalk arises when physically coupled quantum modes interfere, degrading signal fidelity.<n>We propose a mitigation strategy based on encoding discrete-variable quantum information into continuous-variable modes.<n>We prove the existence of a gauge-fixing decoder enabling recovery of the logical information.
arXiv Detail & Related papers (2025-06-26T18:40:26Z) - Quantum non-Markovian noise in randomized benchmarking of spin-boson models [0.0]
We study the effects of a quantum non-Markovian bath on qubit randomized benchmarking experiments.<n>Allowing for non-Markovianity in the interactions leads to clear differences in the randomized benchmarking decay curves.<n>These results inform efforts on incorporating quantum non-Markovian noise in the characterization and benchmarking of quantum devices.
arXiv Detail & Related papers (2025-02-20T16:25:59Z) - Non-Markovian Noise Mitigation: Practical Implementation, Error Analysis, and the Role of Environment Spectral Properties [3.1003326924534482]
We propose a non-Markovian Noise Mitigation(NMNM) method by extending the probabilistic error cancellation (PEC) method in the QEM framework to treat non-Markovian noise.<n>We establish a direct connection between the overall approximation error and sampling overhead of QEM and the spectral property of the environment.
arXiv Detail & Related papers (2025-01-09T07:22:06Z) - Lindblad-like quantum tomography for non-Markovian quantum dynamical maps [46.350147604946095]
We introduce Lindblad-like quantum tomography (L$ell$QT) as a quantum characterization technique of time-correlated noise in quantum information processors.<n>We discuss L$ell$QT for the dephasing dynamics of single qubits in detail, which allows for a neat understanding of the importance of including multiple snapshots of the quantum evolution in the likelihood function.
arXiv Detail & Related papers (2024-03-28T19:29:12Z) - Quantum error mitigation for Fourier moment computation [49.1574468325115]
This paper focuses on the computation of Fourier moments within the context of a nuclear effective field theory on superconducting quantum hardware.
The study integrates echo verification and noise renormalization into Hadamard tests using control reversal gates.
The analysis, conducted using noise models, reveals a significant reduction in noise strength by two orders of magnitude.
arXiv Detail & Related papers (2024-01-23T19:10:24Z) - Mitigating crosstalk errors by randomized compiling: Simulation of the
BCS model on a superconducting quantum computer [41.94295877935867]
Crosstalk errors, stemming from CNOT two-qubit gates, are a crucial source of errors on numerous quantum computing platforms.
We develop and apply an extension of the randomized compiling protocol that includes a special treatment of neighboring qubits.
Our twirling of neighboring qubits is shown to dramatically improve the noise estimation protocol without the need to add new qubits or circuits.
arXiv Detail & Related papers (2023-05-03T18:00:02Z) - Characterizing crosstalk of superconducting transmon processors [0.0]
We show how to efficiently and systematically characterize the magnitude of crosstalk effects on an entire quantum chip.
We propose more accurate means to simulate noisy quantum hardware by devising an appropriate crosstalk-aware noise model.
arXiv Detail & Related papers (2023-03-24T16:11:28Z) - Characterizing quantum instruments: from non-demolition measurements to
quantum error correction [48.43720700248091]
In quantum information processing quantum operations are often processed alongside measurements which result in classical data.
Non-unitary dynamical processes can take place on the system, for which common quantum channel descriptions fail to describe the time evolution.
Quantum measurements are correctly treated by means of so-called quantum instruments capturing both classical outputs and post-measurement quantum states.
arXiv Detail & Related papers (2021-10-13T18:00:13Z) - Pulse-level noisy quantum circuits with QuTiP [53.356579534933765]
We introduce new tools in qutip-qip, QuTiP's quantum information processing package.
These tools simulate quantum circuits at the pulse level, leveraging QuTiP's quantum dynamics solvers and control optimization features.
We show how quantum circuits can be compiled on simulated processors, with control pulses acting on a target Hamiltonian.
arXiv Detail & Related papers (2021-05-20T17:06:52Z) - Demonstration of non-Markovian process characterisation and control on a
quantum processor [0.0]
Non-Markovian noise poses a serious challenge to the progression of quantum technology.
We develop a framework for characterising non-Markovian dynamics in quantum systems.
Our results show this characterisation technique leads to superior quantum control and extension of coherence time.
arXiv Detail & Related papers (2020-04-29T08:29:29Z)
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.