Constructible reality condition of pseudo entropy via pseudo-Hermiticity

Understand

As a generalization of entanglement entropy, pseudo entropy is not always real.

• The real-valued pseudo entropy has promising applications in holography and quantum phase transition.
• We apply the notion of pseudo-Hermticity to formulate the reality condition of pseudo entropy.
• We find the general form of the transition matrix for which the eigenvalues of the reduced transition matrix possess real or complex pairs of eigenvalues.