Product state
Encyclopedia
In quantum mechanics
, a product state, or simply separable state, is a special type of separable state
in which there are neither classical nor quantum correlations. Precisely, it is a joint state of two systems which can be expressed as
where
and 
are states of the respective systems. This is a more restrictive condition than mere separability,
Quantum mechanics
Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...
, a product state, or simply separable state, is a special type of separable state
Separable states
In quantum mechanics, separable quantum states are states without quantum entanglement.- Separable pure states :For simplicity, the following assumes all relevant state spaces are finite dimensional...
in which there are neither classical nor quantum correlations. Precisely, it is a joint state of two systems which can be expressed as
where
and are states of the respective systems. This is a more restrictive condition than mere separability,