Quantum state space-dimension as a quantum resource

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.

4 pages, 1 figure; submitted to Int. J. Quantum Info; v2: minor changes

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Cited by in corpus (6)

• Complexity measures and uncertainty relations of the high-dimensional harmonic and hydrogenic systems
• Exact Shannon entropies for the multidimensional harmonic states
• Entropic functionals of Laguerre and Gegenbauer polynomials with large parameters
• Evidence-based certification of quantum dimensions
• Optimal quantum state identification with qudit-encoded unknown states
• Quantumness and the role of locality on quantum correlations