Quantum Computing of Many-body Effects in Quantum Dots

Quantum mechanics is witnessing its second revolution. It is of fundamental academic interest and of paramount benefit for new and nascent industries and technologies. The QM is the driving force behind the discovery practical applications, such as quantum camera, quantum time, quantum computing or quantum cryptography, to name a few. Consumer electronics nowadays, like mobile phones, the Internet, GPS, or QLED TV, would be impossible without the progress in QM. The field of QM was established by Max Planck in 1900. From then on, tremendous effort has been dedicated to the study of QM, which led to the ground-breaking invention of the laser, the creation of entangled quantum particles, semiconductor quantum dots (QD), the cooling of atoms, quantum manipulation of individual atoms, and quantum computing (QC). The discovery of those phenomena was awarded by several Nobel Prizes, most notably in 2022 to Aspect, Clauser & Zeilinger for the discovery of entanglement and in 2023 to Ekimov, Brus and Bawendi for the discovery of QD. With a new paradigm and extremely efficient approaches to solving problems that were, until recently, in the realm of science fiction only. Quantum computation is the most anticipated new technology on the horizon. QC aims to solve challenging computational tasks by utilising rules of quantum mechanics to manipulate the information. Here, we propose to simulate quantum systems consisting of many thousands of atoms in QD and its many body phenomena on a quantum computer based on the arrays of Rydberg atoms. The precision and robustness offered by the Ry-mediated entanglement protocols are the key factors for their penetration and wider applicability in experiments and in nascent quantum industries. However, to realise them, one needs to control a large assembly of quantum objects with exquisite precision. This is a tremendously difficult task, both from the point of intellectual comprehension and from the technological point of view. Indeed, such academic developments spur the race in quantum technology, ultimately aiming at quantum supremacy, when the quantum computers will outperform the speed and abilities of conventional supercomputers when manipulating data. Along the overview of the historical context, I will review the program of my Fulbright Scholarship which is devoted to quantum computing with Rydberg atoms. I will offer the contribution to the current understanding and challenges of many-body processes in QD and how they can be addresses by Ry-atoms quantum computers.