Analytical solutions for N-Electron interacting system confined in graph of coupled electrostatic semiconductor and superconducting quantum dots in tight-binding model with focus on quantum information processing
Authors:
- Krzysztof Pomorski
Abstract
Analytical solutions for a tight-binding model are presented for a position-based qubit and N interacting qubits realized by quasi-one-dimensional network of coupled quantum dots expressed by connected or disconnected graphs of any topology in 2 and 3 dimensions where one electron is presented at each separated graphs. Electron(s) quantum dynamic state is described under various electromagnetic circumstances with an omission spin degree-of-freedom. The action of Hadamard and phase rotating gate is given by analytical formulas derived and formulated for any case of physical field evolution preserving the occupancy of two-energy level system. The procedure for heating up and cooling down of the quantum state placed in position based qubit is described. The interaction of position-based qubit with electromagnetic cavity is described. In particular non-local communication between position based qubits is given. It opens the perspective of implementation of quantum internet among electrostatic CMOS quantum computers (quantum chips). The interface between superconducting Josephson junction and semiconductor position-based qubit implemented in coupled semiconductor q-dots is described such that it can be the base for electrostatic interface between superconducting and semiconductor quantum computer. Modification of Andreev Bound State in Josephson junction by the presence of semiconductor qubit in its proximity and electrostatic interaction with superconducting qubit is spotted by the minimalistic tight-binding model. The obtained results allow in creating interface between semiconductor quantum computer and superconducting quantum computer. They open the perspective of construction of QISKIT like software that will describe both types of quantum computers as well as their interface.
- Record ID
- CUT5e8e6c42bfa947248f4d9f3cd45f5d5a
- Publication categories
- ; ;
- Author
- Pages
- 67-165
- Other elements of collation
- rys.; schem.; wykr.; Bibliografia (na s.) - 165; Bibliografia (liczba pozycji) - 16; Oznaczenie streszczenia - Abstr.
- Book
- Fesenko Olena, Olena Fesenko Yatsenko Leonid Leonid Yatsenko (eds.): Nanomaterials and Nanocomposites, Nanostructure Surfaces, and Their Applications : selected proceedings of the IX International Conference Nanotechnology and Nanomaterials (NANO2021), 25-28 August 2021, Lviv, Ukraine, Springer Proceedings in Physics, no. 279, 2023, Cham, Switzerland, Springer, Springer, ISBN 978-3-031-18095-8 (print)
- Keywords in English
- N-body problem, tight-binding, semiconductor electrostatic position-based qubit, Wannier qubit, semiconductor Wannier qubit interface with Josephson junction, quantum gates, quantum non-local communication, electrostatic entanglement, entanglement between matter and radiation
- DOI
- DOI:10.1007/978-3-031-18096-5_7 Opening in a new tab
- URL
- https://link.springer.com/chapter/10.1007/978-3-031-18096-5_7 Opening in a new tab
- Language
- eng (en) English
- Score (nominal)
- 20
- Score source
- publisherList
- Score
- Additional fields
- Indeksowana w: Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUT5e8e6c42bfa947248f4d9f3cd45f5d5a/
- URN
urn:pkr-prod:CUT5e8e6c42bfa947248f4d9f3cd45f5d5a
* presented citation count is obtained through Internet information analysis, and it is close to the number calculated by the Publish or PerishOpening in a new tab system.