Fractal hard drives for quantum information

Abstract

A quantum hard drive, capable of storing qubits for unlimited timescales, would be very useful for quantum computation. Unfortunately, the most ideal solutions currently known can only be built in a universe of four spatial dimensions. In a recent publication (Brell 2016 New J. Phys. 18 013050), Brell introduces a new family of models based on these ideal solutions. These use fractal lattices, and result in models whose Hausdorff dimension is less than 3. This opens a new avenue of research towards a quantum hard drive that can be build in our own 3D universe.

Research on Fractal Characterization of Data Transmission Performance of Hard Disk

“…Fractal geometry with the nature of irregularity is more appropriate to describe many natural or man-made phenomena than the traditional rule of Euclidean geometry. Furthermore, the fractal theory has been applied to various signal processing and analysis such as vibration signals, heart sound signals and noise signals [5][6][7][8]. Fractal theory is an effective tool for describing irregular geometric forms in nonlinear systems.…”