The Transfer of Entanglement Negativity at the Onset of Interactions

TL;DR

This paper studies how entanglement, quantified by negativity, is transferred, generated, or lost during interactions, revealing how Hamiltonians and initial states influence these processes, with potential applications in quantum error correction.

Contribution

It introduces Hamiltonian- and state-dependent measures—negativity susceptibility, transmissibility, and vulnerability—to analyze entanglement dynamics at the onset of interactions.

Findings

Negativity susceptibility quantifies entanglement generation tendency.

Negativity transmissibility measures entanglement transfer efficiency.

Negativity vulnerability indicates entanglement loss susceptibility.

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.