Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code

Details Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code

2008-07-30

arxiv.org/abs/0807.4906v2

Physical Review A 79, 022305 (2009)

Physics

Quantum Physics

6 pages, 2 figures, 1 table, Accepted for publication in Physical Review A

Scientific paper

10.1103/PhysRevA.79.022305

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.

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