Quantum state space-dimension as a quantum resource

TL;DR

This paper proposes that the dimension of quantum state spaces should be viewed as a resource for quantum information processing, supported by examples showing states with quantum discord can be derived from classical states in higher dimensions.

Contribution

It introduces the novel idea that quantum state space dimension is a resource, with examples demonstrating how higher-dimensional classical states can produce quantum discord-like states.

Findings

Quantum state space dimension acts as a resource.

States with discord-like capacities can originate from classical states in larger spaces.

Higher-dimensional classical states can generate quantum correlations.

Abstract

We argue that the dimensionality of the space of quantum systems' states should be considered as a legitimate resource for quantum information tasks. The assertion is supported by the fact that quantum states with discord-like capacities can be obtained from classically correlated states in spaces of dimension large enough. We illustrate things with some simple examples that justify our claim.