4.8 Article

Are Cloned Quantum States Macroscopic?

Journal

PHYSICAL REVIEW LETTERS
Volume 109, Issue 17, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.109.170401

Keywords

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Funding

  1. Austrian Science Fund (FWF) [P20748-N16, P24273-N16]
  2. SFB [F40-FoQus, F4012-N16]
  3. European Union (NAMEQUAM)
  4. Austrian Science Fund (FWF) [P20748] Funding Source: Austrian Science Fund (FWF)
  5. Austrian Science Fund (FWF) [P 20748, P 24273] Funding Source: researchfish

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We study quantum states produced by optimal phase covariant quantum cloners. We argue that cloned quantum superpositions are not macroscopic superpositions in the spirit of Schrodinger's cat, despite their large particle number. This is indicated by calculating several measures for macroscopic superpositions from the literature, as well as by investigating the distinguishability of the two superposed cloned states. The latter rapidly diminishes when considering imperfect detectors or noisy states and does not increase with the system size. In contrast, we find that cloned quantum states themselves are macroscopic, in the sense of both proposed measures and their usefulness in quantum metrology with an optimal scaling in system size. We investigate the applicability of cloned states for parameter estimation in the presence of different kinds of noise.

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