Turning qubit noise into a blessing: Automatic state preparation and long-time dynamics for impurity models on quantum computers
- URL: http://arxiv.org/abs/2412.13711v1
- Date: Wed, 18 Dec 2024 10:52:33 GMT
- Title: Turning qubit noise into a blessing: Automatic state preparation and long-time dynamics for impurity models on quantum computers
- Authors: Corentin Bertrand, Pauline Besserve, Michel Ferrero, Thomas Ayral,
- Abstract summary: We show that in the dynamical mean field theory approach to strongly-correlated systems, noise can be harnessed to our advantage.<n>We propose a circuit that harvests amplitude damping to reproduce the dynamics of this model with a blend of noisy and noiseless qubits.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Noise is often regarded as a limitation of quantum computers. In this work, we show that in the dynamical mean field theory (DMFT) approach to strongly-correlated systems, it can actually be harnessed to our advantage. Indeed, DMFT maps a lattice model onto an impurity model, namely a finite system coupled to a dissipative bath. While standard approaches require a large number of high-quality qubits in a unitary context, we propose a circuit that harvests amplitude damping to reproduce the dynamics of this model with a blend of noisy and noiseless qubits. We find compelling advantages with this approach: a substantial reduction in the number of qubits, the ability to reach longer time dynamics, and no need for ground state search and preparation. This method would naturally fit in a partial quantum error correction framework.
Related papers
- Quantum error mitigation by hierarchy-informed sampling: chiral dynamics in the Schwinger model [4.322339935902436]
Quantum simulations on current NISQ hardware are limited by its noisy nature.<n>We introduce a novel quantum error mitigation scheme, applicable to arbitrary quantum simulations of time-dependent Hamiltonian dynamics.
arXiv Detail & Related papers (2026-03-04T17:58:53Z) - Physics-Informed Hybrid Quantum-Classical Dispatching for Large-Scale Renewable Power Systems:A Noise-Resilient Framework [9.378801906395179]
High-penetration energy introduces significantity and non-Classicality into power system dispatching optimization.<n>Existing approaches typically treat the power grid as a "black box"<n>This paper proposes a Hybrid Quantum-Bridging Dispatching (PIHQ-CD) framework.
arXiv Detail & Related papers (2026-01-26T13:35:54Z) - Noise Hypernetworks: Amortizing Test-Time Compute in Diffusion Models [57.49136894315871]
New paradigm of test-time scaling has yielded remarkable breakthroughs in reasoning models and generative vision models.<n>We propose one solution to the problem of integrating test-time scaling knowledge into a model during post-training.<n>We replace reward guided test-time noise optimization in diffusion models with a Noise Hypernetwork that modulates initial input noise.
arXiv Detail & Related papers (2025-08-13T17:33:37Z) - Dynamical mean field theory with quantum computing [0.0]
Near-term quantum processors are limited in terms of the number of qubits and gates they can afford.<n>We introduce the tools and methods of quantum computing that could be used to overcome the limitations of classical impurity solvers.
arXiv Detail & Related papers (2025-07-31T19:14:06Z) - MPQ-DMv2: Flexible Residual Mixed Precision Quantization for Low-Bit Diffusion Models with Temporal Distillation [74.34220141721231]
We present MPQ-DMv2, an improved textbfMixed textbfPrecision textbfQuantization framework for extremely low-bit textbfDiffusion textbfModels.
arXiv Detail & Related papers (2025-07-06T08:16:50Z) - Unitary Scrambling and Collapse: A Quantum Diffusion Framework for Generative Modeling [5.258882634977828]
We propose QSC-Diffusion, the first fully quantum diffusion-based framework for image generation.<n>We employ parameterized quantum circuits with measurement-induced collapse for reverse denoising.<n>Remarkably, QSC-Diffusion achieves competitive FID scores across multiple datasets.
arXiv Detail & Related papers (2025-06-12T11:00:21Z) - 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.
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) - Dynamical quantum maps for single-qubit gates under universal non-Markovian noise [0.0]
Noise in quantum devices is ubiquitous and generally deleterious in settings where precision is required.
Here we derive a compact microscopic error model for single-qubit gates that only requires a single experimental input.
We find that experimental estimates of average gate errors measured through randomized benchmarking and reconstructed via quantum process tomography are tightly lower-bounded by our analytical estimates.
arXiv Detail & Related papers (2024-02-22T13:24:03Z) - Quantum time dynamics mediated by the Yang-Baxter equation and artificial neural networks [3.9079297720687536]
This study explores new strategies for mitigating quantum errors using artificial neural networks (ANN) and the Yang-Baxter equation (YBE)
We developed a novel method that combines ANN for noise mitigation combined with the YBE to generate noisy data.
This approach effectively reduces noise in quantum simulations, enhancing the accuracy of the results.
arXiv Detail & Related papers (2024-01-30T15:50:06Z) - Quantum Generative Diffusion Model: A Fully Quantum-Mechanical Model for Generating Quantum State Ensemble [40.06696963935616]
We introduce Quantum Generative Diffusion Model (QGDM) as their simple and elegant quantum counterpart.
QGDM exhibits faster convergence than Quantum Generative Adversarial Network (QGAN)
It can achieve 53.02% higher fidelity in mixed-state generation than QGAN.
arXiv Detail & Related papers (2024-01-13T10:56:34Z) - Simulating Neutral Atom Quantum Systems with Tensor Network States [0.0]
We show that circuits with a large number of qubits fail more often under noise that depletes the qubit population.
We also find that the optimized parameters are especially robust to noise, suggesting that a noisier quantum system can be used to find the optimal parameters.
arXiv Detail & Related papers (2023-09-15T17:38:37Z) - Combining Matrix Product States and Noisy Quantum Computers for Quantum
Simulation [0.0]
Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems.
We show that using classical knowledge in the form of tensor networks provides a way to better use limited quantum resources.
arXiv Detail & Related papers (2023-05-30T17:21:52Z) - Completely Positive Map for Noisy Driven Quantum Systems Derived by
Keldysh Expansion [39.58317527488534]
We introduce a decoherence model based on the Keldysh formalism.
This formalism allows us to include non-periodic drives and correlated quantum noise in our model.
We demonstrate that this strategy generates pulses that mitigate correlated quantum noise in qubit state-transfer and gate operations.
arXiv Detail & Related papers (2023-03-20T23:05:24Z) - Quantum emulation of the transient dynamics in the multistate
Landau-Zener model [50.591267188664666]
We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity.
Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
arXiv Detail & Related papers (2022-11-26T15:04:11Z) - Dynamics with autoregressive neural quantum states: application to
critical quench dynamics [41.94295877935867]
We present an alternative general scheme that enables one to capture long-time dynamics of quantum systems in a stable fashion.
We apply the scheme to time-dependent quench dynamics by investigating the Kibble-Zurek mechanism in the two-dimensional quantum Ising model.
arXiv Detail & Related papers (2022-09-07T15:50:00Z) - 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) - Unraveling correlated material properties with noisy quantum computers:
Natural orbitalized variational quantum eigensolving of extended impurity
models within a slave-boson approach [0.0]
We propose a method for computing space-resolved correlation properties of the two-dimensional Hubbard model within a quantum-classical embedding strategy.
We solve a two-impurity embedded model requiring eight qubits with an advanced hybrid scheme on top of the Variational Quantum Eigensolver algorithm.
This paves the way to a controlled solution of the Hubbard model with larger and larger embedded problems solved by quantum computers.
arXiv Detail & Related papers (2021-08-24T14:58:14Z) - 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) - 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) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z)
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.