Optimal Entanglement Generation from Quantum Operations

Abstract

We consider how much entanglement can be produced by a non-local two-qubit unitary operation, $U_{AB}$ - the entangling capacity of $U_{AB}$. For a single application of $U_{AB}$, with no ancillas, we find the entangling capacity and show that it generally helps to act with $U_{AB}$ on an entangled state. Allowing ancillas, we present numerical results from which we can conclude, quite generally, that allowing initial entanglement typically increases the optimal capacity in this case as well. Next, we show that allowing collective processing does not increase the entangling capacity if initial entanglement is allowed.

v1.0 15 pages, 3 figures, written in revtex4. v2.0 References updated. Submitted to Phys. Rev. A v3.0 16 pages, 4 figures. Expanded explanation in section 3A, figures corrected and made clearer. Definition of entangling capacity in section 4 made explicit. Other minor typos corrected

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• Universal simulation of Hamiltonian dynamics for qudits
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• Interaction cost of non-local gates
• Optimal conversion of non--local unitary operations
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• Efficient Implementation of Controlled-Rotations by Using Entanglement
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