Universal cloning of continuous quantum variables

Abstract

The cloning of quantum variables with continuous spectra is analyzed. A universal - or Gaussian - quantum cloning machine is exhibited that copies equally well the states of two conjugate variables such as position and momentum. It also duplicates all coherent states with a fidelity of 2/3. More generally, the copies are shown to obey a no-cloning Heisenberg-like uncertainty relation.

4 pages, RevTex. Minor revisions, added explicit cloning transformation, added references

References in corpus (2)

• Continuous variable quantum cryptography
• Quantum cryptography with squeezed states

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