Quantum entropy of non-Hermitian entangled systems

• DOI: 10.1007/s11128-017-1685-9
• Publication Date: 2017-08-17T13:29:32Z
• Authors: Shi-Yang Zhang; Mao-Fa Fang; Lan Xu
• Keywords: Hamiltonian (control theory); Operator (biology)

Non-Hermitian Hamiltonians are an effective tool for describing the dynamics of open quantum systems. Previous research shows that the restrictions of conventional quantum mechanics may be violated in the non-Hermitian cases. We studied the entropy of a system of entangled qubits governed by a local non-Hermitian Hamiltonian operator. We find that local non-Hermitian operation influences the entropies of the two subsystems equally and simultaneously. This indicates that non-Hermitian operators possess the property of non-locality, which makes information exchange possible between subsystems. These information exchanges reduce the uncertainty of outcomes associated with two incompatible quantum measurements.