Limitation on the capacity of arbitrary bipartite pure entangled states for the unambiguous transmission of classical information

The capacity of quantum states to send information is a fundamental and intriguing issue in quantum communication theory. This study explores a scenario where Alice intends to transmit n bits of classical information to Bob by sending m qudits, using an arbitrary bipartite pure entangled state with E qudits as the shared resource. We employ the unambiguous discrimination strategy in decoding and establish an upper bound on the success probability, which extends the findings of a previous study (Li in Phys Rev A 85:052304, 2012).