High-Fidelity Z-Measurement Error Correction of Optical Qubits

Abstract

We demonstrate a quantum error correction scheme that protects against accidental measurement, using an encoding where the logical state of a single qubit is encoded into two physical qubits using a non-deterministic photonic CNOT gate. For the single qubit input states |0>, |1>, |0>+|1>, |0>-|1>, |0>+i|1>, and |0>-i|1> our encoder produces the appropriate 2-qubit encoded state with an average fidelity of 0.88(3) and the single qubit decoded states have an average fidelity of 0.93(5) with the original state. We are able to decode the 2-qubit state (up to a bit flip) by performing a measurement on one of the qubits in the logical basis; we find that the 64 1-qubit decoded states arising from 16 real and imaginary single qubit superposition inputs have an average fidelity of 0.96(3).

4 pages, 4 figures, comments welcome

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• An All Optical Fibre Quantum Controlled-NOT Gate
• Quantum Optical Systems for the Implementation of Quantum Information Processing
• Linear-Optical Hyperentanglement-Assisted Quantum Error-Correcting Code
• Average Fidelity in n-Qubit systems
• Fault Tolerance in Parity-State Linear Optical Quantum Computing
• A photon loss tolerant Zeno CSIGN gate
• Twins Percolation for Qubit Losses in Topological Color Codes
• Measuring Entanglement in a Photonic Embedding Quantum Simulator