Coherence makes quantum systems 'magical'

Abstract

Two primary facets of quantum technological advancement that hold great promise are quantum communication and quantum computation. For quantum communication, the canonical resource is entanglement. For quantum gate implementation, the resource is 'magic' in an auxiliary system. It has already been shown that quantum coherence is the fundamental resource for the creation of entanglement. We argue on the similar spirit that quantum coherence is the fundamental resource when it comes to the creation of magic. This unifies the two strands of modern development in quantum technology under the common underpinning of existence of quantum superposition, quantified by the coherence in quantum theory. We also attempt to obtain magic monotones inspired from coherence monotones and vice versa. We further study the interplay between quantum coherence and magic in a qutrit system and that between quantum entanglement and magic in a qutrit-qubit setting.

14 pages, 4 figures, version accepted by J. Phys. A for a special issue on quantum coherence

References in corpus (7)

• Measuring Quantum Coherence with Entanglement
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• Coherence makes quantum systems 'magical'

Cited by in corpus (12)

• Quantum Resource Theories
• Resource theory of quantum non-Gaussianity and Wigner negativity
• Characterization of an operational quantum resource in a critical many-body system
• Interrelation between Partial Coherence and Quantum Correlations
• Generating steady quantum coherence and magic through an autonomous thermodynamic machine by utilizing a spin bath
• Converting quantum coherence to genuine multipartite entanglement and nonlocality
• Coherence makes quantum systems 'magical'
• Converting coherence based on positive-operator-valued measures into entanglement
• Universal resources for quantum computing
• The resource theory of coherence for quantum channels
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Remote Creation of Quantum Coherence via Indefinite Causal Order