  We develop a "qubit information logic" (QIL) theory that uses the "qubit
information equation" (QIE) and logic to describe the correlation behaviors of
multi-qubit entanglement. Introducing the "global information status" and
"local information availability", the QIL gives an alternative and natural
interpretation of the "spooky action" and the quantum no-communication theorem.
Compared to the conventional entropy-based entanglement theories, the QIL
directly describes the correlation of each possible pair of qubits and how the
correlation changes when other qubits are measured. This makes the QIL more
advantageous in describing the correlation properties of multi-qubit
entanglement, which is illustrated by studying the dormant entanglement
phenomenon. The QIL theory's usefulness is further demonstrated by designing an
exotic quantum state where two qubits can be entangled but not correlated in
any arbitrary basis. Overall the QIL provides an alternative and intuitive
understanding of multi-qubit entanglement that is, compared to the conventional
theories, directly focused on the correlation behaviors between qubits and thus
more suitable for designing exotic quantum states that may be used in quantum
algorithms.
