Measures of imaginarity and quantum state order

Abstract

Complex numbers are widely used in both classical and quantum physics, and play an important role in describing quantum systems and their dynamical behavior. In this paper we study several measures of imaginarity of quantum states in the framework of resource theory, such as the measures based on $l_1$ norm, and convex function, etc. We also investigate the influence of the quantum channels on quantum state order for a single-qubit.

11 pages

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Cited by in corpus (13)

• Resource Theory of Imaginarity: New Distributed Scenarios
• Nonlocal Advantages of Quantum Imaginarity
• Quantifying imaginarity in terms of pure-state imaginarity
• Imaginarity of quantum channels: Refinement and Alternative
• Geometric-Like imaginarity: quantification and state conversion
• Two imaginarity monotones induced by unified $(\alpha ,\beta )$-relative entropy
• Quantifying the imaginarity via different distance measures
• Coherence and Imaginarity as Resources in Quantum Circuit Complexity
• Quantum-imaginarity-based quantum speed limit
• Imaginarity measures induced by relative entropy
• Quantifying imaginarity of quantum operations
• The detection power of real entanglement witnesses under local unitary equivalence
• Imaginarity as a Resource within Quantum Coherence: Geometric Decomposition and Operational Conversion