Temperature field as a codifier of entanglement

Abstract

Vectorial fields such as the electromagnetic field are commonly employed for codifying both qubits and information. It is considered as a three-qubits Heisenberg chain with multiple interaction in the presence of a scalar field, as it is the temperature field. The corresponding pairwise thermal entanglement is calculated. Our results corroborate with the results of Yang and Huang, Quant. Inf. Proc. 16:281 (2017). To first order of approximation in powers of β = 1/T , it is shown that a temperature field can codify entanglement. A scalar field substrate can be used to distribute quantum entanglement in communication protocols that require this ingredient. Present results can be extrapolated to other physical systems such as Heisenberg spins (two-site) or superconducting qubits, provided the respective quantum correlation (entanglement or discord) expression depends explicitly on the temperature scalar field.