Entangling protocols due to non-Markovian dynamics

Abstract

It is widely spread in the literature that non-Markovianity (NM) may be regarded as a resource in quantum mechanics. However, it is still unclear how and when this alleged resource may be exploited. Here, we study the relationship between NM and quantum optimal control under the objective of generating entanglement within M non-interacting subsystems, each one coupled to the same non-Markovian environment. Thus, we design a variety of entangling protocols that are only achievable due to the existence of the environment. We show that NM plays a crucial role in all the entangling protocols considered, revealing that the degree of NM completely determines the success of the entangling operation performed by the control. This is a demonstration of the virtues of NM and the way that it can be exploited in a general entangling setup.

Completely new results with respect to the previous version. 5 pages, 3 figures

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• Witnessing non-Markovian effects of quantum processes through Hilbert-Schmidt speed
• Quantum metrology in a non-Markovian quantum evolution
• Information backflow as a resource for entanglement
• Coherence as a measure for non-Markovianity and its applications to color centers in diamond
• Optimal control and selectivity of qubits in contact with a structured environment
• Non-Markovianity in High-Dimensional Open Quantum Systems using Next-generation Multicore Optical Fibers
• Measure of quantum Fisher information flow in multi-parameter scenario