Entanglement transfer, accumulation and retrieval via quantum-walk-based qubit-qudit dynamics

The generation and control of quantum correlations in high-dimensional systems is a major challenge in the present landscape of quantum technologies. Achieving such non-classical high-dimensional resources will potentially unlock enhanced capabilities for quantum cryptography, communication and computation. We propose a protocol that is able to attain entangled states of d-dimensional systems through a quantum-walk (QW)-based transfer & accumulate mechanism involving coin and walker degrees of freedom. The choice of investigating QW is motivated by their generality and versatility, complemented by their successful implementation in several physical systems. Hence, given the cross-cutting role of QW across quantum information, our protocol potentially represents a versatile general tool to control high-dimensional entanglement generation in various experimental platforms. In particular, we illustrate a possible photonic implementation where the information is encoded in the orbital angular momentum and polarization degrees of freedom of single photons.

Automated summary

Generating and controlling quantum correlations in high-dimensional systems is a major challenge in quantum technologies. A proposed protocol utilizes quantum-walk based mechanism to achieve entangled states in d-dimensional systems, potentially enhancing capabilities in quantum cryptography, communication, and computation. This versatile tool could be applied in various experimental platforms, with a possible photonic implementation using orbital angular momentum and polarization degrees of freedom of single photons.