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Physics

Two in one

Anonymous

Published Jan 31, 2011• 0 citations
Publisher
DOI
10.1103/physics.4.s15

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It has been predicted that the quantum state of a single-mode laser field can be one-to-one transferred to a single macroscopic oscillator via optomechanical interactions (2003 Phys. Rev. A 68 013808). Here we generalize the one-to-one way to both two-to-one and one-to-two ways. In the two-to-one way, it is possible to transfer the two-mode light squeezing to a single macroscopic oscillator. By the one-to-two transfer, the single light squeezing leads to the two-mode squeezing of macroscopic oscillators. The transfer of single- and two-mode quantum correlations from light to oscillators better facilitates the quantum-state transfer in quantum communication networks.
We introduce the coordinate-dependent one- and two-mode squeezing transformations and discuss the properties of the corresponding one-and two-mode squeezed states. We show that the coordinate-dependent one-and two-mode squeezing transformations can be constructed by the combination of two transformations, a coordinate-dependent displacement followed by the standard squeezed transformation. Such a decomposition turns a nonlinear problem into a linear one because all the calculations involving the nonlinear one- and two-mode squeezed transformation have been shown to be able to reduce to those only concerning the standard one- and two-mode squeezed states.
In this paper we establish a deep connection between the 3-qubit one-to-two phase-covariant quantum cloning network of Fuchs et al. [Phys. Rev. A 56, 1163 (1997)], and its low-cost two-qubit counterpart due to Niu and Griffiths [Phys. Rev. A 60, 2764 (1999)]. A general, necessary, and sufficient criterion is derived in order to characterize the reducibility of 3-qubit one-to-two cloners to two-qubit one-to-two cloners. When this criterion is fulfilled, low-cost cloning is possible. We show that the optimal isotropic or universal 3-qubit one-to-two cloning machine is not reducible to a 2-qubit one-to-two cloner.