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Quantum temporal correlations exhibited by violations of Leggett-GargInequality (LGI) and Temporal Steering Inequality (TSI) are in general found tobe non-increasing under decoherence channels when probed on two-qubit pureentangled states. We study the action of decoherence channels, such asamplitude damping, phase-damping and depolarising channels when partial memoryis introduced in a way such that two consecutive uses of the channels aretime-correlated. We show that temporal correlations demonstrated by violationsof the above temporal inequalities can be protected against decoherence usingthe effect of memory.

Protecting temporal correlations of two-qubit states using quantum channels with memory