  We study quantized non-local order parameters, constructed by using partial
time-reversal and partial reflection, for fermionic topological phases of
matter in one spatial dimension protected by an orientation reversing symmetry,
using topological quantum field theories (TQFTs). By formulating the order
parameters in the Hilbert space of state sum TQFT, we establish the connection
between the quantized non-local order parameters and the underlying field
theory, clarifying the nature of the order parameters as topological
invariants. We also formulate several entanglement measures including the
entanglement negativity on state sum spin TQFT, and describe the exact
correspondence of the entanglement measures to path integrals on a closed
surface equipped with a specific spin structure.
