Experimental Implementation of a Codeword Stabilized Quantum Code

Abstract

A five-qubit codeword stabilized quantum code is implemented in a seven-qubit system using nuclear magnetic resonance (NMR). Our experiment implements a good nonadditive quantum code which encodes a larger Hilbert space than any stabilizer code with the same length and capable of correcting the same kind of errors. The experimentally measured quantum coherence is shown to be robust against artificially introduced errors, benchmarking the success in implementing the quantum error correction code. Given the typical decoherence time of the system, our experiment illustrates the ability of coherent control to implement complex quantum circuits for demonstrating interesting results in spin qubits for quantum computing.

References in corpus (6)

• Liquid State NMR as a Test-bed for Developing Quantum Control Methods
• Codeword Stabilized Quantum Codes
• Graphical Nonbinary Quantum Error-Correcting Codes
• Nonadditive quantum error-correcting code
• A simple family of nonadditive quantum codes
• Generalized Concatenated Quantum Codes

Cited by in corpus (6)

• Digital Quantum Simulation of the Statistical Mechanics of a Frustrated Magnet
• Experimental simulation of anyonic fractional statistics with an NMR quantum information processor
• Quantum error correction via less noisy qubits
• High-rate quantum low-density parity-check codes assisted by reliable qubits
• Experimental implementation of quantum gates through actuator qubits
• Resource optimization for fault-tolerant quantum computing