Version 1
: Received: 29 October 2024 / Approved: 30 October 2024 / Online: 30 October 2024 (11:36:05 CET)
How to cite:
Venkatesh, U. Stereographic Projection of Bloch Sphere and Quantum Error Correction. Preprints2024, 2024102387. https://doi.org/10.20944/preprints202410.2387.v1
Venkatesh, U. Stereographic Projection of Bloch Sphere and Quantum Error Correction. Preprints 2024, 2024102387. https://doi.org/10.20944/preprints202410.2387.v1
Venkatesh, U. Stereographic Projection of Bloch Sphere and Quantum Error Correction. Preprints2024, 2024102387. https://doi.org/10.20944/preprints202410.2387.v1
APA Style
Venkatesh, U. (2024). Stereographic Projection of Bloch Sphere and Quantum Error Correction. Preprints. https://doi.org/10.20944/preprints202410.2387.v1
Chicago/Turabian Style
Venkatesh, U. 2024 "Stereographic Projection of Bloch Sphere and Quantum Error Correction" Preprints. https://doi.org/10.20944/preprints202410.2387.v1
Abstract
The Bloch sphere is a powerful geometrical representation of qubit states, fundamental to understanding quantum information theory. This paper explores the stereographic projection of the Bloch sphere, focusing on its utility in addressing decoherence and quantum error correction, two major challenges in quantum computing. By mapping the complex quantum states onto a two-dimensional plane, the stereographic projection simplifies the visualization and manipulation of qubit transformations. We investigate how this projection aids in identifying and correcting errors that arise from decoherence---such as phase flips and bit flips---while maintaining the integrity of quantum states. Additionally, we investigate the influence of decoherence on qubits through this projection, demonstrating how error correction protocols can be optimized by mapping errors onto the complex plane. The analysis highlights the potential of stereographic projection in developing more robust strategies for mitigating decoherence, thereby advancing the overall performance of quantum systems.
Keywords
Stereographic Projection; Bloch Sphere
Subject
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
