Tradeoff between extractable mechanical work, accessible entanglement, and ability to act as a reference system, under arbitrary superselection rules

摘要

Superselection rules (SSRs) limit the mechanical and quantum processingresources represented by quantum states. However SSRs can be violated usingreference systems to break the underlying symmetry. We show that there is aduality between the ability of a system to do mechanical work and to act as areference system. Further, for a bipartite system in a globally symmetric purestate, we find a triality between the system's ability to do local mechanicalwork, its ability to do ``logical work'' due to its accessible entanglement,and its ability to act as a shared reference system.