BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Krzysztof Pomorski (Quantum Hardware Systems) DTSTART:20241116T100000Z DTEND:20241116T120000Z DTSTAMP:20260423T040934Z UID:QHSS2024/5 DESCRIPTION:Title: Electrostatically Interacting Wannier Qubits in Curved Space (II)\nby Krzysztof Pomorski (Quantum Hardware Systems) as part of Workshop on Quan tum Hardware-Software Systems\n\n\nAbstract\nA derivation of a tight-bindi ng model from Schrödinger formalism for various topologies of position-ba sed semiconductor qubits is presented in the case of static and time-depen dent electric fields. The simplistic tight-binding model enables the descr iption of single-electron devices at a large integration scale. The case o f two electrostatically Wannier qubits (also known as position-based qubit s) in a Schrödinger model is presented with omission of spin degrees of f reedom. The concept of programmable quantum matter can be implemented in t he chain of coupled semiconductor quantum dots. Highly integrated and deve loped cryogenic CMOS nanostructures can be mapped to coupled quantum dots\ , the connectivity of which can be controlled by a voltage applied across the transistor gates as well as using an external magnetic field. Using th e anti-correlation principle arising from the Coulomb repulsion interactio n between electrons\, one can implement classical and quantum inverters (C lassical/Quantum Swap Gate) and many other logical gates. The anti-correla tion will be weakened due to the fact that the quantumness of the physical process brings about the coexistence of correlation and anti-correlation at the same time. One of the central results presented in this work relies on the appearance of dissipation-like processes and effective potential r enormalization building effective barriers in both semiconductors and in s uperconductors between not bended nanowire regions both in classical and i n quantum regimes. The presence of non-straight wire regions is also expre ssed by the geometrical dissipative quantum Aharonov–Bohm effect in supe rconductors/semiconductors when one obtains a complex value vector potenti al-like field. The existence of a Coulomb interaction provides a base for the physical description of an electrostatic Q-Swap gate with any topology using open-loop nanowires\, with programmable functionality. We observe s trong localization of the wavepacket due to nanowire bending. Therefore\, it is not always necessary to build a barrier between two nanowires to obt ain two quantum dot systems. On the other hand\, the results can be mapped to the problem of an electron in curved space\, so they can be expressed with a programmable position-dependent metric embedded in Schrödinger’s equation. The semiconductor quantum dot system is capable of mimicking cu rved space\, providing a bridge between fundamental and applied science in the implementation of single-electron devices.\n\nhttps://us06web.zoom.us /j/84670943849?pwd=uAuqWMwVp5rTqX0CNfaImAYn1XjNyn.1\n LOCATION:https://researchseminars.org/talk/QHSS2024/5/ END:VEVENT END:VCALENDAR