SchWARMA: A model-based approach for time-correlated noise in quantum
circuits
- URL: http://arxiv.org/abs/2010.04580v2
- Date: Thu, 12 Aug 2021 13:43:31 GMT
- Title: SchWARMA: A model-based approach for time-correlated noise in quantum
circuits
- Authors: Kevin Schultz, Gregory Quiroz, Paraj Titum, B. D. Clader
- Abstract summary: ARMA models are a well-known technique from time series analysis that model time correlations in data.
We generalize ARMA models to the space of CPTP maps to parameterize and simulate temporally correlated noise in quantum circuits.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Temporal noise correlations are ubiquitous in quantum systems, yet often
neglected in the analysis of quantum circuits due to the complexity required to
accurately characterize and model them. Autoregressive moving average (ARMA)
models are a well-known technique from time series analysis that model time
correlations in data. By identifying the space of completely positive trace
reserving (CPTP) quantum operations with a particular matrix manifold, we
generalize ARMA models to the space of CPTP maps to parameterize and simulate
temporally correlated noise in quantum circuits. This approach, denoted
Schr\"odinger Wave ARMA (SchWARMA), provides a natural path for generalization
of classic techniques from signal processing, control theory, and system
identification for which ARMA models and linear systems are essential. This
enables the broad theory of classical signal processing to be applied to
quantum system simulation, characterization, and noise mitigation.
Related papers
- Non-perturbative switching rates in bistable open quantum systems: from driven Kerr oscillators to dissipative cat qubits [72.41778531863143]
We use path integral techniques to predict the switching rate in a single-mode bistable open quantum system.<n>Our results open new avenues for exploring switching phenomena in multistable single- and many-body open quantum systems.
arXiv Detail & Related papers (2025-07-24T18:01:36Z) - A time-marching quantum algorithm for simulation of the nonlinear Lorenz dynamics [0.0]
We develop a quantum algorithm that implements the time evolution of a second order time-discretized version of the Lorenz model.<n> Notably, we showcase that it accurately captures the structural characteristics of the Lorenz system.
arXiv Detail & Related papers (2025-06-26T15:08:00Z) - Simulating discrete-time quantum walk with urn model [0.0]
Urn models have long been used to study computation processes, probability distributions, and reinforcement dynamics.<n>Meanwhile, discrete time quantum walks (DTQW) serve as fundamental components in quantum computation and quantum information theory.<n>This work explores a novel connection between an urn model and discrete-time quantum walks, focusing on how urn-based processes can provide insights into quantum state evolution and algorithmic behavior.
arXiv Detail & Related papers (2025-06-07T18:54:09Z) - Quantum-Enhanced Channel Mixing in RWKV Models for Time Series Forecasting [0.0]
Recent advancements in neural sequence modeling have led to architectures such as RWKV, which combine recurrent-style time mixing with feedforward channel mixing to enable efficient long-context processing.<n>In this work, we propose QuantumRWKV, a hybrid quantum-Piece extension of the RWKV model, where the standard feedforward network (FFN) is partially replaced by a variational quantum circuit (VQC)<n>The quantum component is designed to enhance nonlinear representational capacity while preserving end-to-end differentiability via the PennyLane framework.
arXiv Detail & Related papers (2025-05-18T02:19:30Z) - Toward Practical Quantum Machine Learning: A Novel Hybrid Quantum LSTM for Fraud Detection [0.1398098625978622]
We present a novel hybrid quantum-classical neural network architecture for fraud detection.
By leveraging quantum phenomena such as superposition and entanglement, our model enhances the feature representation of sequential transaction data.
Results demonstrate competitive improvements in accuracy, precision, recall, and F1 score relative to a conventional LSTM baseline.
arXiv Detail & Related papers (2025-04-30T19:09:12Z) - Quantum Linear Time-Translation-Invariant Systems: Conjugate Symplectic Structure, Uncertainty Bounds, and Tomography [0.0]
We develop a general quantization scheme for multimode classical LTI systems that reveals their fundamental quantum noise.
We show that such systems can be synthesized using frequency-dependent interferometers and squeezers.
These results establish a complete and systematic framework for the analysis, synthesis, and measurement of arbitrary quantum LTI systems.
arXiv Detail & Related papers (2024-10-13T19:34:35Z) - Model-Based Qubit Noise Spectroscopy [0.0]
We derive model-based QNS approaches using inspiration from classical signal processing.
We show, through both simulation and experimental data, how these model-based QNS approaches maintain the statistical and computational benefits of their classical counterparts.
arXiv Detail & Related papers (2024-05-20T09:30:38Z) - Formal Controller Synthesis for Markov Jump Linear Systems with
Uncertain Dynamics [64.72260320446158]
We propose a method for synthesising controllers for Markov jump linear systems.
Our method is based on a finite-state abstraction that captures both the discrete (mode-jumping) and continuous (stochastic linear) behaviour of the MJLS.
We apply our method to multiple realistic benchmark problems, in particular, a temperature control and an aerial vehicle delivery problem.
arXiv Detail & Related papers (2022-12-01T17:36:30Z) - Simulating the Mott transition on a noisy digital quantum computer via
Cartan-based fast-forwarding circuits [62.73367618671969]
Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model.
Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models.
This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
arXiv Detail & Related papers (2021-12-10T17:32:15Z) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Model Checking Quantum Continuous-Time Markov Chains [11.182363315152399]
We initialised the model checking of quantum continuous-time Markov chain (QCTMC)
As a real-time system, we specify the temporal properties on QCTMC by signal temporal logic (STL)
arXiv Detail & Related papers (2021-05-02T02:46:19Z) - Fixed Depth Hamiltonian Simulation via Cartan Decomposition [59.20417091220753]
We present a constructive algorithm for generating quantum circuits with time-independent depth.
We highlight our algorithm for special classes of models, including Anderson localization in one dimensional transverse field XY model.
In addition to providing exact circuits for a broad set of spin and fermionic models, our algorithm provides broad analytic and numerical insight into optimal Hamiltonian simulations.
arXiv Detail & Related papers (2021-04-01T19:06:00Z) - Error mitigation and quantum-assisted simulation in the error corrected
regime [77.34726150561087]
A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations.
We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
arXiv Detail & Related papers (2021-03-12T20:58:41Z) - Filter Function Formalism and Software Package to Compute Quantum
Processes of Gate Sequences for Classical Non-Markovian Noise [0.0]
Correlated, non-Markovian noise is present in many solid-state systems employed as hosts for quantum information technologies.
We show it can be applied to describe unital evolution within the quantum operations formalism.
arXiv Detail & Related papers (2021-03-03T13:54:12Z) - Fast and differentiable simulation of driven quantum systems [58.720142291102135]
We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods.
We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
arXiv Detail & Related papers (2020-12-16T21:43:38Z)
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.