Entanglement changing power of two-qubit unitary operations

Abstract

We consider a two-qubit unitary operation along with arbitrary local unitary operations acts on a two-qubit pure state, whose entanglement is C0. We give the conditions that the final state can be maximally entangled and be non-entangled. When the final state can not be maximally entangled, we give the maximal entanglement Cmax it can reach. When the final state can not be non-entangled, we give the minimal entanglement Cmin it can reach. We think Cmax and Cmin represent the entanglement changing power of two-qubit unitary operations. According to this power we define an order of gates.

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