Document Type
Article
Publication Date
2-2-2009
Abstract
We propose a linear-optical implementation of a hyperentanglement-assisted quantum error-correcting code. The code is hyperentanglement assisted because the shared entanglement resource is a photonic state hyperentangled in polarization and orbital angular momentum. It is possible to encode, decode, and diagnose channel errors using linear-optical techniques. The code corrects for polarization "flip" errors and is thus suitable only for a proof-of-principle experiment. The encoding and decoding circuits use a Knill-Laflamme-Milburn-like scheme for transforming polarization and orbital angular momentum photonic qubits. A numerical optimization algorithm finds a unit-fidelity encoding circuit that requires only three ancilla modes and has success probability equal to 0.0097. © 2009 The American Physical Society.
Publication Source (Journal or Book title)
Physical Review A - Atomic, Molecular, and Optical Physics
Recommended Citation
Wilde, M., & Uskov, D. (2009). Linear-optical hyperentanglement-assisted quantum error-correcting code. Physical Review A - Atomic, Molecular, and Optical Physics, 79 (2) https://doi.org/10.1103/PhysRevA.79.022305