The 43rd International Symposium on Lattice Field Theory (Lattice 2026)

Tensor renormalization group approach to entanglement negativity

30 Jul 2026, 14:00

20m

Margaret Brent B (Adele H. Stamp Student Union)

Contributed talk Theoretical developments and applications beyond the Standard Model Theoretical developments and applications beyond the SM

Speaker

Gota Tanaka (Meiji Gakuin University)

Description

Entanglement negativity is a measure of quantum entanglement and defined as the trace norm of the partially transposed density matrix. One of the important properties of entanglement negativity is that it can be used to quantify the amount of entanglement in mixed states. We represent the density matrix of a 1D quantum system as a 2D tensor network and calculate the entanglement negativity using the tensor renormalization group method. We investigate the temperature dependence of entanglement negativity in the 1D transverse field Ising model and show that the result agrees with the known result.