Quantum Communication and Quantum Networking. First International Conference, QuantumComm 2009, Naples, Italy, October 26-30, 2009, Revised Selected Papers

Research Article

Solutions for Redundancy-Free Error Correction in Quantum Channel

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  • @INPROCEEDINGS{10.1007/978-3-642-11731-2_15,
        author={Laszlo Bacsardi and Laszlo Gyongyosi and Sandor Imre},
        title={Solutions for Redundancy-Free Error Correction in Quantum Channel},
        proceedings={Quantum Communication and Quantum Networking. First International Conference, QuantumComm 2009, Naples, Italy, October 26-30, 2009, Revised Selected Papers},
        proceedings_a={QUANTUMCOMM},
        year={2012},
        month={10},
        keywords={Quantum channel error correction redundancy-free},
        doi={10.1007/978-3-642-11731-2_15}
    }
    
  • Laszlo Bacsardi
    Laszlo Gyongyosi
    Sandor Imre
    Year: 2012
    Solutions for Redundancy-Free Error Correction in Quantum Channel
    QUANTUMCOMM
    Springer
    DOI: 10.1007/978-3-642-11731-2_15
Laszlo Bacsardi1,*, Laszlo Gyongyosi1,*, Sandor Imre1,*
  • 1: Budapest University of Technology and Economics
*Contact email: bacsardi@hit.bme.hu, gyongyosi@hit.bme.hu, imre@hit.bme.hu

Abstract

All free-space quantum communications require the use of a quantum channel, which transports quantum bits in such a way that the quantum mechanical states of the qubits remain preserved from one end of the channel to the other one. In quantum computing the classical error coding methods could not be used, however we can construct a classical channel with zero redundancy error correction for any unitary channel. In our basically new quantum error correction approach, the classical states are coded into the eigenvectors and unitary transformations. In this paper, we show that with our new algorithm it’s possible to create redundancy-free quantum error correction. We also consider the redundancy-free implementation of a unitary error correcting operator. Our protocol achieves the redundancy-free quantum communication using local unitary operations and unitary matrices. These solutions could be useful for the free-space quantum communication.