Entangling power of two-qubit unitary operations

Abstract

The entangling power of a bipartite unitary operation shows the maximum created entanglement with the product input states. For an arbitrary two-qubit unitary operation, it is sufficient to consider its normalized operation $U$ with parameters $c_0,c_1,c_2$ and $c_3$. We show how to compute the entangling power of $U$ when $c_2=c_3$. In particular we construct the analytical expressions of entangling power of such $U$ for two examples. We also construct the entangling power of bipartite unitary operations of Schmidt rank two for any dimensions.

27pages, 2 figures

References in corpus (4)

• Weaker entanglement guarantees stronger entanglement
• Decomposition of bipartite and multipartite unitary gates into the product of controlled unitary gates
• All unitaries having operator Schmidt rank 2 are controlled unitaries
• Delocalization power of global unitary operations on quantum information

Cited by in corpus (6)

• Quantumness of quantum channels
• Quantumness of channels
• Classification of Schmidt-rank-two multipartite unitary gates by singular number
• Entangling power of symmetric multiqubit systems: a geometrical approach
• Multipartite entangling power by von Neumann entropy
• Robust composite two-qubit gates for silicon-based spin qubits