MAPLE procedures for the simulation of N-qubit quantum registers

Thomas Radtke, S. Fritzsche

David A. Bolívar

Research in contemporary physics is emphasizing the development and evolution of computer systems to facilitate the calculations. Quantum computing is a branch of modern physics is believed promising results for the future, Thanks to the ability of qubits to store more information than a bit. The work of this paper focuses on the simulation of certain quantum algorithms such as the prisoner's dilemma in its quantum version using the MATHEMATICA® software and implementing stochastic version of the software MAPLE ® and the Grover search algorithm that simulates finding a needle in a haystack.

Thomas Radtke, S. Fritzsche

Margriet van Riggelen, Jiwon Yun, H. Benjamin van Ommen +1 more

Quantum networks based on optically active solid-state spins may enable quantum technologies including long-range quantum communication and distributed quantum computing. Network nodes containing multiple high-fidelity qubits can facilitate large-scale fault-tolerant operation. However, the stringent error thresholds remain out of reach for multi-qubit registers. In this work, we demonstrate high-fidelity two-qubit gates in a 7-qubit register, based on nuclear spins coupled to a nitrogen-vacancy (NV) center in diamond. We analyze crosstalk in highly connected spin systems, develop an efficient optimization procedure, and characterize the gates using gate set tomography. The two-qubit gate fidelities (best: 99.61(5)%, average: 99.18(2)%) demonstrate a multi-qubit register at the threshold for distributed quantum computation. Finally, as an example application, we perform a variational quantum eigensolver (VQE) simulation of the ground-state energy of H2 and LiH molecules. These results demonstrate one of the key prerequisites for scalable quantum networks based on solid-state spins.

Gennady P. Chuiko

A symbolic model of the quantum Grover search algorithm for the simplest two-qubit systems is proposed, which simultaneously utilizes the capabilities of the Maple computer mathematics system and the Quirk quantum browser simulator. The model is developed with a focus on its application in engineering education for modern quantum computing courses. It enables generalization to systems with more qubits, as well as cases involving multiple target states. It can serve as a foundation for developing laboratory work. This model is among the first attempts to go beyond the limitations of Python-based quantum simulators. Maple, whose programming language is based on Java, interacts effectively with the Quirk quantum simulator, which is based on JavaScript. Keywords: Grover's quantum algorithm, Maple, Quirk, simulation of quantum algorithms, symbolic modeling.

Sergey A. Zapryagaev, Egor A. Kiligin, Ivan M. Kosenko +1 more