Generation of the Complete Four-dimensional Bell Basis

Abstract

The Bell basis is a distinctive set of maximally entangled two-particle quantum states that forms the foundation for many quantum protocols such as teleportation, dense coding and entanglement swapping. While the generation, manipulation, and measurement of two-level quantum states is well understood, the same is not true in higher dimensions. Here we present the experimental generation of a complete set of Bell states in a four-dimensional Hilbert space, comprising of 16 orthogonal entangled Bell-like states encoded in the orbital angular momentum of photons. The states are created by the application of generalized high-dimensional Pauli gates on an initial entangled state. Our results pave the way for the application of high-dimensional quantum states in complex quantum protocols such as quantum dense coding.

4 pages, 4 figures

References in corpus (3)

• Beating the channel capacity limit for linear photonic superdense coding
• Orbital angular momentum of photons and the entanglement of Laguerre-Gaussian modes
• Characterization of high-dimensional entangled systems via mutually unbiased measurements

Cited by in corpus (4)

• High-dimensional quantum communication: benefits, progress, and future challenges
• Efficient High-dimensional Quantum Key Distribution with Hybrid Encoding
• Classical simulation of high-dimensional entanglement by non-separable angular--radial modes
• Programmable coherent linear quantum operations with high-dimensional optical spatial modes