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Quantum replication at the Heisenberg limit

Author

Listed:
  • Giulio Chiribella

    (Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University)

  • Yuxiang Yang

    (Center for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University)

  • Andrew Chi-Chih Yao

    (Institute for Interdisciplinary Information Sciences, Tsinghua University)

Abstract

No process in nature can perfectly clone an arbitrary quantum state. But is it possible to engineer processes that replicate quantum information with vanishingly small error? Here we demonstrate the possibility of probabilistic super-replication phenomena where N equally prepared quantum clocks are transformed into a much larger number of M nearly perfect replicas, with an error that rapidly vanishes whenever M is small compared with N2. The quadratic replication rate is the ultimate limit imposed by quantum mechanics to the proliferation of information and is fundamentally linked with the Heisenberg limit of quantum metrology.

Suggested Citation

  • Giulio Chiribella & Yuxiang Yang & Andrew Chi-Chih Yao, 2013. "Quantum replication at the Heisenberg limit," Nature Communications, Nature, vol. 4(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3915
    DOI: 10.1038/ncomms3915
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    Cited by:

    1. Giulio Chiribella & Fei Meng & Renato Renner & Man-Hong Yung, 2022. "The nonequilibrium cost of accurate information processing," Nature Communications, Nature, vol. 13(1), pages 1-10, December.

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