Perfect quantum error correction coding in 24 laser pulses
arXiv:quant-ph/9604036 · doi:10.1103/PhysRevA.55.945
Abstract
An efficient coding circuit is given for the perfect quantum error correction of a single qubit against arbitrary 1-qubit errors within a 5 qubit code. The circuit presented employs a double `classical' code, i.e., one for bit flips and one for phase shifts. An implementation of this coding circuit on an ion-trap quantum computer is described that requires 26 laser pulses. A further circuit is presented requiring only 24 laser pulses, making it an efficient protection scheme against arbitrary 1-qubit errors. In addition, the performance of two error correction schemes, one based on the quantum Zeno effect and the other using standard methods, is compared. The quantum Zeno error correction scheme is found to fail completely for a model of noise based on phase-diffusion.
Replacement paper: Lost two laser pulses gained one author; added appendix with circuits easily implementable on an ion-trap computer
References in corpus (6)
Cited by in corpus (16)
- Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
- Fault-Tolerant Error Correction with Efficient Quantum Codes
- Natural two-qubit gate for quantum computation using the XY interaction
- Error correction for continuous quantum variables
- Quantum Gates and Circuits
- Entangled Coherent State Qubits in an Ion Trap
- Efficient Computations of Encodings for Quantum Error Correction
- Prevention of dissipation with two particles
- Optimal quantum codes for preventing collective amplitude damping
- Quantum Error Correction on Linear Nearest Neighbor Qubit Arrays
- Single quantum querying of a database
- Quantum computation with mesoscopic superposition states
- Generating and stabilizing the GHZ state in circuit QED: Joint measurement, Zeno effect and feedback
- Towards Large-Scale Quantum Computation
- Photon Polarization Measurements without the Quantum Zeno Effect
- Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction