QUANTUM COMPUTING IN FOUR SPATIAL DIMENSIONS

Arturo Tozzi (Corresponding author)

Center for Nonlinear Science, University of North Texas

1155 Union Circle, #311427

Denton, TX 76203-5017 USA

tozziarturo@libero.it

Arturo.Tozzi@unt.edu

 

Muhammad Zubair Ahmad

Department of Electrical and Computer Engineering

University of Manitoba

Winnipeg, Canada

ahmadmz@myumanitoba.ca

 

James F. Peters

Department of Electrical and Computer Engineering, University of Manitoba

75A Chancellor’s Circle

Winnipeg, MB R3T 5V6 CANADA

James.Peters3@umanitoba.ca

 

 

Relationships among near set theory, shape maps and recent accounts of the Quantum Hall effect pave the way to quantum computations performed in higher dimensions.  We illustrate the operational procedure to build a quantum computer able to detect, assess and quantify a fourth spatial dimension.  We show how, starting from two-dimensional shapes embedded in a 2D topological charge pump, it is feasible to achieve the corresponding four-dimensional shapes, which encompass a larger amount of information.  This novel, relatively straightforward architecture not only permits to increase the amount of available qbits in a fixed volume, but also converges towards a solution to the problem of optical computers, that are not allowed to tackle quantum entanglement through their canonical superposition of electromagnetic waves.   

 

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