Abstract
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.
Highlights
Discrete-time quantum walks (QW) embody a widely studied type of interaction between a two-dimensional “coin” degree of freedom, and a high-dimensional “walker” one [33,34,35,36,37]
We propose a protocol that is able to a ain entangled states of d-dimensional systems through a quantumwalk-based transfer & accumulate mechanism involving coin and walker degrees of freedom. e choice of investigating quantum walks is motivated by their generality and versatility, complemented by their successful implementation in several physical systems
We focus on the case of states producible by discrete-time one-dimensional quantum walks (QW) [33,34,35,36,37]. ese model a natural type of interaction between hetero-dimensional systems, and are widely available in a variety of physical systems
Summary
Antum entanglement underpins many of the advantages promised by the technological advances in quantum information processors [1]. We show how to leverage controllable lowdimensional systems, together with special quantum devices acting as interfaces between systems of di erent dimensions, to realize an e ective entanglement-transfer protocol from low- to high-dimensional degrees of freedom. We study the conditions under which QW dynamics allow to transfer entanglement between coin and walker degrees of freedom, and prove the feasibility of accumulating entanglement in the high-dimensional system by repeatedly creating it and transfering it from the low-dimensional one. Recent experimental progress enabled by the growing capacity to prepare, manipulate and measure OAM states are opening up the possibility to explore the richness of high-dimensional Hilbert spaces for the sake of quantum information processing [44].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
