# On the physical limit of quantum computing

## TL;DR

This paper discusses fundamental physical limitations on quantum computing, proposing an uncertainty principle that constrains the complexity and accuracy of quantum system descriptions, which challenges the feasibility of scalable quantum speedup.

## Contribution

It introduces a new physical limitation based on an uncertainty ratio, providing arguments and estimates that restrict the realization of scalable quantum computations.

## Key findings

- The uncertainty ratio limits scalable quantum computing.
- Experimental estimates suggest physical constraints are significant.
- Quantum nonlocality remains the main advantage for modeling real systems.

## Abstract

Experimental attempts to implement quantum speedup of computations over the past 30 years have yielded a negative result, despite the absence of physical laws prohibiting such speedup. The article formulates the limitation of quantum formalism in the form of uncertainty "the complexity of the system - the accuracy of its description at the quantum level", and provides arguments in favor of its physical status. An experiment to determine this constant through Grover's algorithm is described. Rough estimates on the constant of this ratio are given, based on the possibility of applying the quantum theory to two processes: the emission of a photon by a Rubidium atom and the decay of an unstable isotope of Helium 6. This ratio explicitly prohibits the physical implementation of scalable fast quantum computations, but leaves the possibility of modeling the dynamics of real systems on a quantum computer, the only advantage of which is the use of quantum nonlocality.