A Software Package to Construct Polynomial Sets over Z_2 for Determining the Output of Quantum Computations

Vladimir P. Gerdt, Vasily M. Severyanov

备注：: 5 pages, 4 Postscript figures, report presented on ACAT 2005
DOI：: 10.1016/j.nima.2005.11.147

英文摘要：

A C# package is presented that allows a user for an input quantum circuit to generate a set of multivariate polynomials over the finite field Z_2 whose total number of solutions in Z_2 determines the output of the quantum computation defined by the circuit. The generated polynomial system can further be converted to the canonical Groebner basis form which provides a universal algorithmic tool for counting the number of common roots of the polynomials.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

阅读原文

阅读 PDF ↗

arXiv 页面 ↗HTML 原文 ↗

本文内容

英文摘要相关论文

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

继续探索

相关论文

QuantumReservoirPy：一个用于时间序列预测的软件包

QuantumReservoirPy: A Software Package for Time Series Prediction

本文介绍 QuantumReservoirPy 软件包，通过统一结构支持将量子电路作为非线性动力系统构建、测试和比较量子储备池，以简化时间序列预测任务。

2024-01-19cs.SEquant-ph

ArQTiC: A full-stack software package for simulating materials on quantum computers

ArQTiC is an open-source, full-stack software package built for the simulations of materials on quantum computers. It currently can simulate materials that can be modeled by any Hamiltonian derived from a generic, one-dimensional, time-dependent Heisenberg Hamiltonain. ArQTiC includes modules for generating quantum programs for real- and imaginary-time evolution, quantum circuit optimization, connection to various quantum backends via the cloud, and post-processing of quantum results. By enabling users to seamlessly perform and analyze materials simulations on quantum computers by simply provi…

2021-06-09physics.comp-phquant-ph

HADOKEN: An Open-Source Software Package for Predicting Electron Confinement Effects in Various Nanowire Geometries and Configurations

We present an open-source software package, HADOKEN (High-level Algorithms to Design, Optimize, and Keep Electrons in Nanowires), for predicting electron confinement/localization effects in nanowires with various geometries, {arbitrary number of concentric shell layers,} doping densities, and external boundary conditions. The HADOKEN code is written in the MATLAB programming environments to aid in its readability and general accessibility to both users and practitioners. We provide several examples and outputs on a variety of different nanowire geometries, boundary conditions, and doping densi…

2022-03-11cond-mat.mes-hallcond-mat.mtrl-scicond-mat.quant-gas

量子计算机模拟软件包基准测试：态矢量模拟器

Benchmarking Quantum Computer Simulation Software Packages: State Vector Simulators

本文构建容器化HPC基准测试工具链，系统比较多款态矢量量子模拟软件在三类典型任务中的性能与规模扩展性，以支持软件选型和后续社区验证。

2024-07-06cs.ETphysics.comp-phquant-ph

1-2-3 Reproducibility for Quantum Software Experiments

Various fields of science face a reproducibility crisis. For quantum software engineering as an emerging field, it is therefore imminent to focus on proper reproducibility engineering from the start. Yet the provision of reproduction packages is almost universally lacking. Actionable advice on how to build such packages is rare, particularly unfortunate in a field with many contributions from researchers with backgrounds outside computer science. In this article, we argue how to rectify this deficiency by proposing a 1-2-3~approach to reproducibility engineering for quantum software experiment…

2022-01-28cs.SEquant-ph

Mitiq: A software package for error mitigation on noisy quantum computers

We introduce Mitiq, a Python package for error mitigation on noisy quantum computers. Error mitigation techniques can reduce the impact of noise on near-term quantum computers with minimal overhead in quantum resources by relying on a mixture of quantum sampling and classical post-processing techniques. Mitiq is an extensible toolkit of different error mitigation methods, including zero-noise extrapolation, probabilistic error cancellation, and Clifford data regression. The library is designed to be compatible with generic backends and interfaces with different quantum software frameworks. We …

2022-08-01cs.ETquant-ph