Comparing performance of variational quantum algorithm simulations on HPC systems
- URL: http://arxiv.org/abs/2507.17614v1
- Date: Wed, 23 Jul 2025 15:46:54 GMT
- Title: Comparing performance of variational quantum algorithm simulations on HPC systems
- Authors: Marco De Pascale, Tobias Valentin Bauer, Yaknan John Gambo, Mario Hernández Vera, Stefan Huber, Burak Mete, Amit Jamadagni, Amine Bentellis, Marita Oliv, Luigi Iapichino, Jeanette Miriam Lorenz,
- Abstract summary: Variational quantum algorithms are of special importance because of their applicability to current Noisy Intermediate-Scale Quantum (NISQ) devices.<n>Main building blocks of these algorithms (among them, the definition of the Hamiltonian and of the ansatz) define a relatively large parameter space.<n>We employ a generic description of the problem, in terms of both Hamiltonian and ansatz, to port a problem definition consistently among different simulators.
- Score: 0.545520830707066
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Variational quantum algorithms are of special importance in the research on quantum computing applications because of their applicability to current Noisy Intermediate-Scale Quantum (NISQ) devices. The main building blocks of these algorithms (among them, the definition of the Hamiltonian and of the ansatz, the optimizer) define a relatively large parameter space, making the comparison of results and performance between different approaches and software simulators cumbersome and prone to errors. In this paper, we employ a generic description of the problem, in terms of both Hamiltonian and ansatz, to port a problem definition consistently among different simulators. Three use cases of relevance for current quantum hardware (ground state calculation for the Hydrogen molecule, MaxCut, Travelling Salesman Problem) have been run on a set of HPC systems and software simulators to study the dependence of performance on the runtime environment, the scalability of the simulation codes and the mutual agreement of the physical results, respectively. The results show that our toolchain can successfully translate a problem definition between different simulators. On the other hand, variational algorithms are limited in their scaling by the long runtimes with respect to their memory footprint, so they expose limited parallelism to computation. This shortcoming is partially mitigated by using techniques like job arrays. The potential of the parser tool for exploring HPC performance and comparisons of results of variational algorithm simulations is highlighted.
Related papers
- Quantum Simulation-Based Optimization of a Cooling System [0.0]
Quantum algorithms promise up to exponential speedups for specific tasks relevant to numerical simulations.<n>However, these advantages quickly vanish when considering data input and output on quantum computers.<n>The recently introduced Quantum Simulation-Based Optimization (QuSO) treats simulations as subproblems within a larger optimization.
arXiv Detail & Related papers (2025-04-21T21:58:21Z) - An Efficient Quantum Classifier Based on Hamiltonian Representations [50.467930253994155]
Quantum machine learning (QML) is a discipline that seeks to transfer the advantages of quantum computing to data-driven tasks.<n>We propose an efficient approach that circumvents the costs associated with data encoding by mapping inputs to a finite set of Pauli strings.<n>We evaluate our approach on text and image classification tasks, against well-established classical and quantum models.
arXiv Detail & Related papers (2025-04-13T11:49:53Z) - Compact quantum algorithms for time-dependent differential equations [0.0]
We build on an idea based on linear combination of unitaries to simulate non-unitary, non-Hermitian quantum systems.<n>We generate hybrid quantum-classical algorithms that efficiently perform matrix-vector multiplication and matrix inversion operations.
arXiv Detail & Related papers (2024-05-16T02:14:58Z) - Simulator Demonstration of Large Scale Variational Quantum Algorithm on HPC Cluster [0.0]
This study aims to accelerate quantum simulation using two newly proposed methods.
We achieved 200 times higher speed over VQE simulations and demonstrated 32 qubits ground-state energy calculations in acceptable time.
arXiv Detail & Related papers (2024-02-19T06:34:01Z) - Scalable Quantum Computation of Highly Excited Eigenstates with Spectral
Transforms [0.76146285961466]
We use the HHL algorithm to prepare excited interior eigenstates of physical Hamiltonians in a variational and targeted manner.
This is enabled by the efficient computation of the expectation values of inverse Hamiltonians on quantum computers.
We detail implementations of this scheme for both fault-tolerant and near-term quantum computers.
arXiv Detail & Related papers (2023-02-13T19:01:02Z) - Biologically Plausible Learning on Neuromorphic Hardware Architectures [27.138481022472]
Neuromorphic computing is an emerging paradigm that confronts this imbalance by computations directly in analog memories.
This work is the first to compare the impact of different learning algorithms on Compute-In-Memory-based hardware and vice versa.
arXiv Detail & Related papers (2022-12-29T15:10:59Z) - 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) - Hybridized Methods for Quantum Simulation in the Interaction Picture [69.02115180674885]
We provide a framework that allows different simulation methods to be hybridized and thereby improve performance for interaction picture simulations.
Physical applications of these hybridized methods yield a gate complexity scaling as $log2 Lambda$ in the electric cutoff.
For the general problem of Hamiltonian simulation subject to dynamical constraints, these methods yield a query complexity independent of the penalty parameter $lambda$ used to impose an energy cost.
arXiv Detail & Related papers (2021-09-07T20:01:22Z) - 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) - Quantum Algorithms for Data Representation and Analysis [68.754953879193]
We provide quantum procedures that speed-up the solution of eigenproblems for data representation in machine learning.
The power and practical use of these subroutines is shown through new quantum algorithms, sublinear in the input matrix's size, for principal component analysis, correspondence analysis, and latent semantic analysis.
Results show that the run-time parameters that do not depend on the input's size are reasonable and that the error on the computed model is small, allowing for competitive classification performances.
arXiv Detail & Related papers (2021-04-19T00:41:43Z) - 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) - Realistic simulation of quantum computation using unitary and
measurement channels [1.406995367117218]
We introduce a new simulation approach that relies on approximating the density matrix evolution by a sum of unitary and measurement channels.
This model shows an improvement of at least one order of magnitude in terms of accuracy compared to the best known approaches.
arXiv Detail & Related papers (2020-05-13T14:29:18Z)
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.