Quantum hierarchic models for information processing

TL;DR

This paper proposes a hierarchical approach to quantum information processing, inspired by wavelet transforms, aiming to improve the reliability and compactness of quantum registers affected by quantum fluctuations.

Contribution

It introduces a novel hierarchical algorithm for constructing reliable, compact quantum registers, addressing decoherence and miniaturization limits in quantum computing.

Findings

Hierarchical quantum register construction reduces decoherence effects.

Method applicable to quantum memory and information compression.

Potential to enhance quantum computation reliability.

Abstract

Both classical and quantum computations operate with the registers of bits. At nanometer scale the quantum fluctuations at the position of a given bit, say, a quantum dot, not only lead to the decoherence of quantum state of this bit, but also affect the quantum states of the neighboring bits, and therefore affect the state of the whole register. That is why the requirement of reliable separate access to each bit poses the limit on miniaturization, i.e, constrains the memory capacity and the speed of computation. In the present paper we suggest an algorithmic way to tackle the problem of constructing reliable and compact registers of quantum bits. We suggest to access the states of quantum register hierarchically, descending from the state of the whole register to the states of its parts. Our method is similar to quantum wavelet transform, and can be applied to information compression, quantum memory, quantum computations.