Quantum Pseudoentanglment In AdS/CFT

Quantum pseudoentanglement is a property of certain quantum systems where specific ensembles of quantum states are indistinguishable from maximally entangled states. The construction of quantum pseudoentanglement requires pseudorandom quantum states that can be efficiently generated but are indistinguishable from Haar-random states. Using this framework, we aim to demonstrate a natural manifestation of quantum pseudoentanglement in specific AdS/CFT holographic theories. In particular, we will construct pseudoentangled states within boundary conformal field theories (CFTs) by imposing constraints on the CFT spectrum and will investigate the corresponding bulk dynamics. From this analysis, we aim to deduce characteristics of the computational complexity class associated with the holographic map and advance our understanding of bulk reconstruction.