Quantum computers, utilizing versatile qubits, are at the forefront of solving complex optimization problems like the traveling salesman dilemma, traditionally plagued by computational inefficiency. Through rigorous mathematical analysis, researchers have demonstrated that quantum computing can fundamentally transform problem-solving, offering a more efficient polynomial increase in computation time compared to classical methods and yielding superior solutions.
Quantum computers use so-called qubits, which are not either zero or one as in conventional logic circuits, but can take on any value in between. These qubits are realized by highly cooled atoms, ions, or superconducting circuits, and it is still physically very complex to build a quantum computer with many qubits. However, mathematical methods can already be used to explore what fault-tolerant quantum computers could achieve in the future.
The traveling salesman’s problem is a classic in mathematics. A traveller is to visit N cities by the shortest route and return to the starting point. As the number N increases, the number of possible routes explodes. This problem can then be solved using approximation methods. Quantum computers could provide significantly better solutions more quickly.
The present work shows that a certain part of the combinatorial problems can be solved much better with quantum computers, possibly even exactly. Credit: HZB/EisertThe team led by Jens Eisert and his colleague Jean-Pierre Seifert has now used purely analytical methods to evaluate how a quantum computer with qubits could solve this class of problems. A classic thought experiment with pen and paper and a lot of expertise.
Technology Technology Latest News, Technology Technology Headlines
Similar News:You can also read news stories similar to this one that we have collected from other news sources.
Source: SciTechDaily1 - 🏆 84. / 68 Read more »
Source: SciTechDaily1 - 🏆 84. / 68 Read more »
Source: SciTechDaily1 - 🏆 84. / 68 Read more »
Source: SciTechDaily1 - 🏆 84. / 68 Read more »
Source: SciTechDaily1 - 🏆 84. / 68 Read more »