Holographic Quantum Error Correcting Codes Using Cluster States
Recently a link between Quantum Error Correction and AdS/CFT correspondence has been proposed using Holographic Codes created with perfect tensors. Additionally recent work has demonstrated how to create any CSS code with cluster states. We combine these developments in a procedure to create a CSS Holographic Code using cluster states, and a mechanism to recover and correct information after loss of physical qubits. This high rate code opens the possibility of the fault tolerant computation on many logical qubits from a single state.