Optimal creation of entanglement using a two-qubit gate

By Barbara Kraus, J. I. Cirac. 2000

345 citations recorded by the source corpus.

We consider a general unitary operator acting on two qubits in a product state. We find the conditions such that the state of the qubits after the action is as entangled as possible. We also consider the possibility of using ancilla qubits to increase the entanglement.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/631ad071fbd1842fa2b0ea7d6e86bcb81e2e57e8

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Geometric (2019, methodology): “1B, left), and here we used the horizontal direction (i.e., 0) and the vertical direction (i.e., 𝜋/2 ) as the motion axis of HV (i.e., horizontal versus vertical, Fig.”
Geometry of Quantum States: Index (2007, background): “A canonical form of a two-qubit gate is known [522, 558, 640], and various measures of entangling power of U have been proposed [995, 993, 210].”
Simulating quantum many-body dynamics on a current digital quantum computer (2019, neutral): “This gives us access to matrices of the form We can proceed with the help of the so-called Magic Matrix [91, 93] Using this matrix we ﬁnd M † N ( α, 0 , γ ) M = e i γσ z ⊗ e i ασ z , which in turn implies that N ( α, 0 , γ ) = M ( e i γσ z ⊗ e i ασ z ) M † , since M is unitary.”
Realization of a programmable two-qubit quantum processor (2009, methodology): “Note that vv and uu are unitary symmetric matrices and therefore have real, orthonormal eigenvectors[11, 16].”