Presented is a second quantized technology for representing fermionic and bosonic entanglement in terms of
generalized joint ladder operators, joint number operators, interchangers, and pairwise entanglement operators.
The joint number operators generate conservative quantum logic gates that are used for pairwise entanglement
in quantum dynamical systems. These are most useful for quantum computational physics. The generalized joint
operator approach provides a pathway to represent the Temperley-Lieb algebra and to represent braid group
operators for either fermionic or bosonic many-body quantum systems. Moreover, the entanglement operators
allow for a representation of quantum measurement, quantum maps (associated with quantum Boltzmann equation
dynamics), and for a way to completely and efficiently extract all accessible bits of joint information from
entangled quantum systems in terms of quantum propositions.