Paper Info
Title
States and Channels in Quantum Mechanics Without Complex Numbers
Abstract
In the presented work, we aim at exploring the possibility of abandoning complex numbers in the representation of quantum states and operations. We demonstrate a simplified version of quantum mechanics in which the states are represented using real numbers only. The main advantage of this approach is that the simulation of the n-dimensional quantum system requires n(2) real numbers, in contrast to the standard case where n(4) real numbers are required. The main disadvantage is the lack of hermicity in the representation of quantum states. Using Mathematica computer algebra system we develop a set of functions for manipulating real-only quantum states. With the help of this tool, we study the properties of the introduced representation and the induced representation of quantum channels.
Year
DOI
Venue
2016
10.1007/978-3-319-56932-1_21
Springer Proceedings in Mathematics & Statistics
Keywords
Field
DocType
Quantum states,Random density matrix,Quantum mathematics
Open quantum system,Quantum mechanics,Computer science,Quantum process,Gleason's theorem,Quantum computer,Quantum algorithm,Quantum operation,Quantum error correction,Quantum network
Journal
Volume
ISSN
Citations 
198
2194-1009
0
PageRank 
References 
Authors
0.34
0
1
Name
Order
Citations
PageRank
Jaroslaw Adam Miszczak199.43