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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Imre, S., Ferenc, B.: Quantum Computing and Communications: An Engineering Approach. Wiley, Chichester (2005)
Buttler, W.T., Hughes, R.J., Kwiat, P.G., Lamoreaux, S.K., Luther, G.G., Morgan, G.L., Nordholt, J.E., Peterson, C.G., Simmons, C.M.: Practical free-space quantum key distribution over 1 km, arXiv:quant-ph/9805071
Hughes, R.J., Nordholt, J.E., Derkacs, D., Peterson, C.G.: Practical free-space quantum key distribution over 10 km in daylight and at night. New Journal of Physics 4, 43.1–43.14 (2002)
Schmitt-Manderbach, T., Weier, H., Fürst, M., Ursin, R., Tiefenbacher, F., Scheidl, T., Perdigues, J., Sodnik, Z., Kurtsiefer, C., Rarity, J.G., Zeilinger, A., Weinfurter, H.: Experimental Demonstration of Free-Space Decoy-State Quantum Key Distribution over 144 km. Physical Review Letters PRL 98, 010504 (2007)
Bacsardi, L.: Using Quantum Computing Algorithms in Future Satellite Communication. Acta Astronautica 57(2-8), 224–229 (2005)
Bacsardi, L.: Satellite communication over quantum channel. Acta Astronautica 61(1-6), 151–159 (2007)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2000)
Poulin, D.: Stabilizer Formalism for Operator Quantum Error Correction (2005), Quant-ph/0508131
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
Bacsardi, L., Gyongyosi, L., Imre, S. (2010). Solutions for Redundancy-Free Error Correction in Quantum Channel. In: Sergienko, A., Pascazio, S., Villoresi, P. (eds) Quantum Communication and Quantum Networking. QuantumComm 2009. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 36. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11731-2_15
Download citation
DOI: https://doi.org/10.1007/978-3-642-11731-2_15
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-11730-5
Online ISBN: 978-3-642-11731-2
eBook Packages: Computer ScienceComputer Science (R0)