Flag Additivity in Quantum Resource Theories

Abstract

Quantum resource theories offer a powerful framework for studying various phenomena in quantum physics. Despite considerable effort has been devoted to developing a unified framework of resource theories, there are few common properties that hold for all quantum resources. In this paper, we fill this gap by introducing the flag additivity based on the tensor product structure and the flag basis for the general quantum resources. To illustrate the usefulness of flag additivity, we show that flag additivity can be used to derive other nontrivial properties in quantum resource theories, e.g., strong monotonicity, convexity, and full additivity.

6 pages

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Cited by in corpus (15)

• Deterministic Coherence Distillation
• General Quantum Resource Theories: Distillation, Formation and Consistent Resource Measures
• Quantifying the imaginarity of quantum states via Tsallis relative entropy
• Limits on sequential sharing of nonlocal advantage of quantum coherence
• Examining the validity of Schatten-$p$-norm-based functionals as coherence measures
• Quantum realism: axiomatization and quantification
• Asymptotically Consistent Measures of General Quantum Resources: Discord, Non-Markovianity, and Non-Gaussianity
• Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
• Estimating Parameterized Entanglement Measure
• Quantum Coherence, Coherent Information and Information Gain in Quantum Measurement
• Quantifying the phase of quantum states
• Resource theories with completely passive states and passive states as free states
• Methods of constructing superposition measures
• Closed expressions for one-qubit states of convex roof coherence measures
• Simplest non-additive measures of quantum resources