Qubit representation of motion on the 2D plane
In this study we consider a qubit (quantum bit) as the spin degree of freedom of a spin-1/2 particle. Since the 2D plane and the 2-sphere minus the north pole are topologically equivalent, one can represent motion on the 2D plane on the 2-sphere. We use inverse stereographic projection to map the 2D...
Main Author: | |
---|---|
Format: | Article in Journal/Newspaper |
Language: | English |
Published: |
Karamanoğlu Mehmetbey Üniversitesi
2021
|
Subjects: | |
Online Access: | https://hdl.handle.net/11492/5141 |
id |
ftkaramehmuniv:oai:earsiv.kmu.edu.tr:11492/5141 |
---|---|
record_format |
openpolar |
spelling |
ftkaramehmuniv:oai:earsiv.kmu.edu.tr:11492/5141 2023-05-15T17:39:41+02:00 Qubit representation of motion on the 2D plane İki boyutlu düzlemde hareketin kübit temsili Dündar Furkan, Semih 2021 application/pdf https://hdl.handle.net/11492/5141 eng eng Karamanoğlu Mehmetbey Üniversitesi Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı Dündar, F . (2021). Qubit Representation of Motion on the 2D Plane . Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi , 3 (1) , 1-6. 2687-5071 https://hdl.handle.net/11492/5141 3 1 6 info:eu-repo/semantics/openAccess Qubit Magnetic Field Planar Motion Stereographic Projection Kübit Manyetik Alan Düzlemsel Hareket Stereografik Fonksiyon article 2021 ftkaramehmuniv 2023-03-26T20:21:25Z In this study we consider a qubit (quantum bit) as the spin degree of freedom of a spin-1/2 particle. Since the 2D plane and the 2-sphere minus the north pole are topologically equivalent, one can represent motion on the 2D plane on the 2-sphere. We use inverse stereographic projection to map the 2D plane to the 2-sphere minus the north pole. Because the 2-sphere can be thought of as the Bloch sphere where any point represents a qubit, the time evolution of a particle on the 2D plane corresponds to the time evolution of the corresponding qubit on the Bloch sphere. We use the property of magnetic field to rotate spins to provide exact time dependent magnetic field to simulate, using a single qubit, the path followed by a particle on the 2D plane. Article in Journal/Newspaper North Pole Karamanoğlu Mehmetbey University Institutional Repository (eArşiv@KMÜ) North Pole |
institution |
Open Polar |
collection |
Karamanoğlu Mehmetbey University Institutional Repository (eArşiv@KMÜ) |
op_collection_id |
ftkaramehmuniv |
language |
English |
topic |
Qubit Magnetic Field Planar Motion Stereographic Projection Kübit Manyetik Alan Düzlemsel Hareket Stereografik Fonksiyon |
spellingShingle |
Qubit Magnetic Field Planar Motion Stereographic Projection Kübit Manyetik Alan Düzlemsel Hareket Stereografik Fonksiyon Dündar Furkan, Semih Qubit representation of motion on the 2D plane |
topic_facet |
Qubit Magnetic Field Planar Motion Stereographic Projection Kübit Manyetik Alan Düzlemsel Hareket Stereografik Fonksiyon |
description |
In this study we consider a qubit (quantum bit) as the spin degree of freedom of a spin-1/2 particle. Since the 2D plane and the 2-sphere minus the north pole are topologically equivalent, one can represent motion on the 2D plane on the 2-sphere. We use inverse stereographic projection to map the 2D plane to the 2-sphere minus the north pole. Because the 2-sphere can be thought of as the Bloch sphere where any point represents a qubit, the time evolution of a particle on the 2D plane corresponds to the time evolution of the corresponding qubit on the Bloch sphere. We use the property of magnetic field to rotate spins to provide exact time dependent magnetic field to simulate, using a single qubit, the path followed by a particle on the 2D plane. |
format |
Article in Journal/Newspaper |
author |
Dündar Furkan, Semih |
author_facet |
Dündar Furkan, Semih |
author_sort |
Dündar Furkan, Semih |
title |
Qubit representation of motion on the 2D plane |
title_short |
Qubit representation of motion on the 2D plane |
title_full |
Qubit representation of motion on the 2D plane |
title_fullStr |
Qubit representation of motion on the 2D plane |
title_full_unstemmed |
Qubit representation of motion on the 2D plane |
title_sort |
qubit representation of motion on the 2d plane |
publisher |
Karamanoğlu Mehmetbey Üniversitesi |
publishDate |
2021 |
url |
https://hdl.handle.net/11492/5141 |
geographic |
North Pole |
geographic_facet |
North Pole |
genre |
North Pole |
genre_facet |
North Pole |
op_relation |
Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı Dündar, F . (2021). Qubit Representation of Motion on the 2D Plane . Karamanoğlu Mehmetbey Üniversitesi Mühendislik ve Doğa Bilimleri Dergisi , 3 (1) , 1-6. 2687-5071 https://hdl.handle.net/11492/5141 3 1 6 |
op_rights |
info:eu-repo/semantics/openAccess |
_version_ |
1766140461390495744 |