126 citations · 462 across the 31 of their papers we have counts for
30 papers · 1 filter
Imaginarity measures induced by real part states and the complementarity relations
Jingyan Liu, Yue Sun, Jianwei Xu +1
Complex numbers are indispensable in quantum mechanics and the resource theory of imaginarity has been developed recently. In this paper, we propose a method to construct imaginary…
Bargmann invariants of Gaussian states
Jianwei Xu
Given a set of ordered quantum states, described by density operators , the Bargmann invariant of is defined as tr(…
Numerical ranges of Bargmann invariants
Jianwei Xu
Bargmann invariants have recently emerged as powerful tools in quantum information theory, with applications ranging from geometric phase characterization to quantum state distingu…
Hermitian Kirkwood-Dirac real operators for discrete Fourier transformations
Jianwei Xu
The Kirkwood-Dirac (KD) distribution is a quantum state representation that relies on two chosen fixed orthonormal bases, or alternatively, on the transition matrix of these two ba…
Coherence and imaginarity of quantum states
Jianwei Xu
Baumgratz, Cramer and Plenio established a rigorous framework (BCP framework) for quantifying the coherence of quantum states [\href{http://dx.doi.org/10.1103/PhysRevLett.113.14040…
Quantifying the imaginarity of quantum states via Tsallis relative entropy
Jianwei Xu
It is a fundamental question that why quantum mechanics uses complex numbers instead of only real numbers. To address this topic, recently, a rigorous resource theory for the imagi…