The Transfer of Entanglement Negativity at the Onset of Interactions

Abstract

Quantum information, in the form of entanglement with an ancilla, can be transmitted to a third system through interaction. Here, we investigate this process of entanglement transmission perturbatively in time. Using the entanglement monotone negativity, we determine how the proclivity of an interaction to either generate, transfer or lose entanglement depends on the choice of Hamiltonians and initial states. These three proclivities are captured by Hamiltonian- and state-dependent quantities that we call negativity susceptibility, negativity transmissibility and negativity vulnerability respectively. These notions could serve, for example, as cost functions in quantum technologies such as machine-learned quantum error correction.

References in corpus (8)

• Quantum Computing
• Sudden Death of Entanglement
• Mapping the optimal route between two quantum states
• Quantum Error Correction of Observables
• Machine Learning for Continuous Quantum Error Correction on Superconducting Qubits
• Quantum error correction on infinite-dimensional Hilbert spaces
• The Dynamics of Entropies at the Onset of Interactions
• Transmission of coherent information at the onset of interactions

Cited by in corpus (5)

• Entanglement is better teleported than transmitted
• Separable Ball around any Full-Rank Multipartite Product State
• Mixedness timescale in non-Hermitian quantum systems
• Separable ellipsoids around multipartite states
• Adiabatic Dynamics of Entanglement