Obtaining Accurate Ground-State Properties on Near-term Quantum Devices

• URL: http://arxiv.org/abs/2510.21255v1
• Date: Fri, 24 Oct 2025 08:39:56 GMT
• Title: Obtaining Accurate Ground-State Properties on Near-term Quantum Devices
• Authors: Qi-Ming Ding, Jiawei Peng, Junxiang Huang, Yukun Zhang, Huiyuan Wang, Xiaosi Xu, Jiajun Ren, Yingjin Ma, Xiao Yuan,
• Abstract summary: We introduce a hybrid-quantum classical framework that simultaneously addresses these challenges.<n>We show near full configuration interaction accuracy for ground-state energies of H2, LiH, and H4, and compute precise scattering intensities for C6H8 on noisy hardware.
• Score: 7.6795197045053705
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: Accurate ground-state calculations on noisy quantum computers are fundamentally limited by restricted ansatz expressivity and unavoidable hardware errors. We introduce a hybrid-quantum classical framework that simultaneously addresses these challenges. Our method systematically purifies noisy two electron reduced density matrices from quantum devices by enforcing N-representability conditions through efficient semidefinite programming, guided by a norm-based distance constraint to the experimental data. To implement this constraint, we develop a hardware efficient calibration protocol based on Clifford circuits. We demonstrate near full configuration interaction accuracy for ground-state energies of H2, LiH, and H4, and compute precise scattering intensities for C6H8 on noisy hardware. This approach surpasses conventional methods by simultaneously overcoming both ansatz limitations and hardware noise, establishing a scalable route to quantum advantage and marking a critical step toward reliable simulations of complex molecularnsystems on noisy devices.

Related papers

• Ensemble-Based Quantum Signal Processing for Error Mitigation [3.5659159991711618]
  Noise remains a central obstacle to deploying quantum algorithms on near-term devices.<n>In particular, random coherent errors that accumulate during circuit execution constitute a dominant and fundamentally challenging noise source.<n>We introduce a noise-resilient framework for Quantum Signal Processing that mitigates such coherent errors without increasing circuit depth or ancillary qubit requirements.
  arXiv  Detail & Related papers  (2026-01-27T21:35:06Z)
• Robust iSWAP gates for semiconductor spin qubits with local driving [0.0]
  We propose a robust iSWAP gate protocol for semiconductor spin qubits.<n>Our scheme uses only local microwave drives on conventional exchange-coupled spin qubits.
  arXiv  Detail & Related papers  (2025-10-06T03:25:00Z)
• Mitigating shot noise in local overlapping quantum tomography with semidefinite programming [0.0]
  Reduced density matrices (RDMs) are fundamental in quantum information processing.<n>We propose a method to mitigate physicality noise by re-enforcing certain constraints on RDMs.<n>Our approach yields, on average, tighter bounds for the same number of measurements compared to tomography without compatibility constraints.
  arXiv  Detail & Related papers  (2025-01-30T18:17:13Z)
• Efficient Learning for Linear Properties of Bounded-Gate Quantum Circuits [62.46800898243033]
  Recent progress in quantum learning theory prompts a question: can linear properties of a large-qubit circuit be efficiently learned from measurement data generated by varying classical inputs?<n>We prove that the sample complexity scaling linearly in $d$ is required to achieve a small prediction error, while the corresponding computational complexity may scale exponentially in d.<n>We propose a kernel-based method leveraging classical shadows and truncated trigonometric expansions, enabling a controllable trade-off between prediction accuracy and computational overhead.
  arXiv  Detail & Related papers  (2024-08-22T08:21:28Z)
• Projective Quantum Eigensolver via Adiabatically Decoupled Subsystem Evolution: a Resource Efficient Approach to Molecular Energetics in Noisy Quantum Computers [0.0]
  We develop a projective formalism that aims to compute ground-state energies of molecular systems accurately using Noisy Intermediate Scale Quantum (NISQ) hardware. We demonstrate the method's superior performance under noise while concurrently ensuring requisite accuracy in future fault-tolerant systems.
  arXiv  Detail & Related papers  (2024-03-13T13:27:40Z)
• Mitigating Errors on Superconducting Quantum Processors through Fuzzy Clustering [38.02852247910155]
  A new Quantum Error Mitigation (QEM) technique uses Fuzzy C-Means clustering to specifically identify measurement error patterns. We report a proof-of-principle validation of the technique on a 2-qubit register, obtained as a subset of a real NISQ 5-qubit superconducting quantum processor. We demonstrate that the FCM-based QEM technique allows for reasonable improvement of the expectation values of single- and two-qubit gates based quantum circuits.
  arXiv  Detail & Related papers  (2024-02-02T14:02:45Z)
• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• Near-Term Distributed Quantum Computation using Mean-Field Corrections and Auxiliary Qubits [77.04894470683776]
  We propose near-term distributed quantum computing that involve limited information transfer and conservative entanglement production. We build upon these concepts to produce an approximate circuit-cutting technique for the fragmented pre-training of variational quantum algorithms.
  arXiv  Detail & Related papers  (2023-09-11T18:00:00Z)
• Numerical Simulations of Noisy Quantum Circuits for Computational Chemistry [51.827942608832025]
  Near-term quantum computers can calculate the ground-state properties of small molecules. We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
  arXiv  Detail & Related papers  (2021-12-31T16:33:10Z)
• 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)
• Dual Map Framework for Noise Characterization of Quantum Computers [11.659279774157255]
  We present a method that reconstructs a marginal (local) approximation of the effective noise (MATEN) channel, that acts as a single layer at the end of the circuit. We demonstrate the performance of the method on Rigetti's Aspen-9 quantum computer for QAOA circuits up to six qubits.
  arXiv  Detail & Related papers  (2021-12-08T17:00:51Z)
• 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)

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.