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Spacetime replication of continuous-variable quantum information

By Barry Sanders

Appears in collection : Coherent states and their applications: a contemporary panorama / Etats cohérents et leurs applications : un panorama contemporain

Combining the relativistic speed limit on transmitting information with linearity and unitarity of quantum mechanics leads to a relativistic extension of the no-cloning principle called spacetime replication of quantum information. We introduce continuous-variable spacetime-replication protocols, expressed in a Gaussian-state basis, that build on novel homologically constructed continuous-variable quantum error correcting codes. Compared to qubit encoding, our continuous-variable solution requires half as many shares per encoded system. We show an explicit construction for the five-mode case and how it can be implemented experimentally. As well we analyze the ramifications of finite squeezing on the protocol.

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Citation data

  • DOI 10.24350/CIRM.V.19090703
  • Cite this video Sanders, Barry (17/11/2016). Spacetime replication of continuous-variable quantum information. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19090703
  • URL https://dx.doi.org/10.24350/CIRM.V.19090703

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