![]() In an idealised crosstalk channel, the crossover probabilities are independent of the initial mode index (IMI). A closer look at the data reveals two universal features: (i) coherence lasts for a much longer distance in turbulence than entanglement, and, (ii) the crosstalk among different OAM modes depends very weakly on the initial OAM mode index in the weak turbulence regime.Keeping these in mind, we next develop a method for combating errors in what we call an idealised crosstalk channel. Using the data of these studies and generalising the framework proposed in for error-immune information transfer, we accomplish two tasks.First, we identify invariants for propagation of OAM modes through atmospheric and oceanic turbulence, in which error-immune information can be encoded. There is a wealth of simulation, experimental and analytical studies on propagation of orbital angular momentum (OAM) modes through atmospheric and oceanic turbulence. As applications, for illustration, we propose a quantum key distribution protocol and an error-immune information transfer protocol. In fact, we have shown how standard quantum error-correcting codes emerge if suitable restrictions are imposed on the choices of logical basis states. Pertinently, this approach is not in conflict with other existing error correction schemes. This information passes through the noisy channel unchanged. These invariants are functions of expectation values of operators. Armed with this fact, we encode information in these invariants. The encoding scheme is based on the fact that most noisy channels leave some quantities invariant. For this, we have proposed a new information encoding scheme for communication purposes. Motivated particularly by the difficulty in generation of multiparty entangled states, in this paper, we have investigated error-free information transfer with minimal requirements. This calls for exploring realistic solutions which are implementable with current devices. Generation of multiparty higher dimensional entanglement is not easy. Near-term quantum communication protocols suffer inevitably from channel noises, whose alleviation has been mostly attempted with resources such as multiparty entanglement or sophisticated experimental techniques. ![]()
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