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With the advent of quantum technology, the interest in communication tasksassisted by quantum systems has increased both in academia and industry.Nonetheless, the transmission of a quantum state in real-world scenarios isbounded by environmental noise, so that the quantum channel is an open quantumsystem. In this work, we study a high dimensional non-Markovian open quantumsystem in a multi-core optical fiber by characterizing the environmentalinteraction as quantum operations, which here correspond to phase flips betweenpairs of computational basis states. The experimental platform is currentlystate-of-the-art for space division multiplexing optical fiber communication,which can serve as a robust channel for high-dimensional quantum communication.To test the channel, we perform a quantum communication task in theprepare-and-measure scenario. The non-Markovian nature of the system isdemonstrated by implementing a Quantum Vault protocol. A better understandingof the phase noise in multi-core fibers could improve the stability and qualityof several real-world communication protocols since they are a prime candidateto increase the telecom data transmission rate worldwide.

Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers