Linear-optical hyperentanglement-assisted quantum error-correcting code

Mark M. Wilde, Dmitry B. Uskov
2009 Physical Review A. Atomic, Molecular, and Optical Physics  
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
more » ... 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.
doi:10.1103/physreva.79.022305 fatcat:q42qn22uhvhdxnfdhbh772aut4