Quantum Computing Through Quaternions
نویسندگان
چکیده
Using quaternions, we study the geometry of the single and two qubit states of quantum computing. Through the Hopf fibrations, we identify geometric manifestations of the separability and entanglement of two qubit quantum systems. c © Electronic Journal of Theoretical Physics. All rights reserved.
منابع مشابه
Quantum Entanglement Through Quaternions
Using quaternions, we study the geometry of the single and two qubit states of quantum entanglement. Through the Hopf fibrations, we identify geometric manifestations of the separability and entanglement of two qubit quantum systems.
متن کاملA New Model Representation for Road Mapping in Emerging Sciences: A Case Study on Roadmap of Quantum Computing
One of the solutions for organizations to succeed in highly competitive markets is to move toward emerging sciences. These areas provide many opportunities, but, if organizations do not meet requirements of emerging sciences, they may fail and eventually, may enter a crisis. In this matter, one of the important requirements is to develop suitable roadmaps in variety fields such as strategic, ca...
متن کاملImpurity and quaternions in nonrelativistic scattering from a quantum memory
Models of quantum computing rely on transformations of the states of a quantum memory. We study mathematical aspects of a model proposed by Wu in which the memory state is changed via the scattering of incoming particles. This operation causes the memory content to deviate from a pure state, i.e. induces impurity. For nonrelativistic particles scattered from a two-state memory and sufficiently ...
متن کاملQuaternionic Computing
We introduce a model of computation based on quaternions, which is inspired on the quantum computing model. Pure states are vectors of a suitable linear space over the quaternions. Every other aspect of the theory is the same as in quantum computing: superposition and linearity of the state space, unitarity of the transformations, and projective measurements. We then show that this model is no ...
متن کاملA Beginners Guide to Dual-Quaternions
In this paper, we give a beginners guide to the practicality of using dual-quaternions to represent the rotations and translations in character-based hierarchies. Quaternions have proven themselves in many fields of science and computing as providing an unambiguous, un-cumbersome, computationally efficient method of representing rotational information. We hope after reading this paper the reade...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008