No, there is no known non-deterministic protocol for entanglement generation between distant parties. The generation of entanglement typically relies on specific interactions and processes that follow the laws of quantum mechanics. These processes are inherently probabilistic, meaning that the outcomes are not determined with certainty but have probabilities associated with them.
Entanglement is usually created through deterministic protocols that involve the controlled interaction of quantum systems. For example, in experiments, entanglement is often generated by manipulating the quantum states of particles, such as photons or atoms, using techniques like entangling gates, quantum measurements, or interactions with specialized materials.
While the outcomes of these processes are probabilistic, the protocols themselves are designed to generate entanglement with a certain probability and fidelity. Researchers work on optimizing these protocols to maximize the success rates and the quality of the entangled states produced.
It's worth noting that non-deterministic protocols, in the sense of being purely random and lacking any control or predictability, would pose significant challenges in reliably generating and utilizing entanglement for practical purposes. The ability to generate entanglement between distant parties is a fundamental requirement for various applications, such as quantum communication and quantum computing, and it relies on carefully designed protocols based on quantum mechanical principles.