Quantum Tensor Product Structures are Observable Induced

Paolo Zanardi, Daniel A. Lidar, Seth Lloyd · Physical Review Letters · 2004

It is argued that the partition of a quantum system into subsystems is dictated by the set of operationally accessible interactions and measurements. The emergence of a multipartite tensor product structure of the state space and the associated notion of quantum entanglement are then relative and observable induced. We develop a general algebraic framework aimed to formalize this concept.

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