Quantum theory is traditionally formulated using complex numbers. This imaginarity of
quantum theory has been quantified as a resource with applications in discrimination tasks …

The field of quantum resource theory (QRT) has emerged as an invaluable framework for the
examination of small and strongly correlated quantum systems, surpassing the boundaries …

It is a long-standing debate that why quantum mechanics uses complex numbers but not
real numbers only. To address this topic, in recent years, the imaginarity theory has been …

Quantum imaginarity and quantum nonlocality capture the essence of quantumness of a
physical system from different aspects. We establish a connection between the imaginarity …

Recently, the resource theory of imaginarity was proposed, viewing the imaginary part of a
quantum state as a basic resource leading to quantum advantages. As with other quantum …

Imaginarity has proven to be a valuable resource in various quantum information processing
tasks. A natural question arises: can the imaginarity of quantum states be broadcast via real …

The imaginary in quantum theory plays a crucial role in describing quantum coherence and
is widely applied in quantum information tasks such as state discrimination …

In this paper, we introduce the framework for quantifying the imaginarity of quantum
channels. Besides, an alternative framework is given together to simplify the process of …

Abstract Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework)
for quantifying the coherence of quantum states (2014, Phys. Rev. Lett. 113, 140401). In …

From the perspective of resource-theoretic approach, this study explores the quantification of
imaginary in quantum physics. We propose a well defined measure of imaginarity, the …