Continuous-variable telecloning with phase-conjugate inputs

We propose a scheme for continuous-variable telecloning with phase-conjugate inputs (PCI). Two cases of PCI telecloning are considered. The first case is where PCI telecloning produces $M$ clones nonlocally and $M$ anticlones locally, or vice versa. This kind of PCI telecloning requires only one Einstein-Podolsky-Rosen (EPR) entangled, two-mode squeezed state as a resource for building the appropriate multimode, multipartite entangled state via linear optics. The other case is a PCI telecloning protocol in which both clones and anticlones are created nonlocally. Such a scheme requires two EPR entangled states for the generation of a suitable multipartite entangled state. As our schemes are reversible, optimal cloning fidelities are achieved in the limit of infinite squeezing.

Figure 1

Schematic diagram of $1+1\to M+M$ PCI telecloning with nonlocal clones and local anticlones. BS, beam splitter; LO, local oscillator; AM, amplitude modulator; PM, phase modulator; and AUX, auxiliary beam.

Figure 2

Schematic diagram of $N+N\to M+M$ PCI telecloning with nonlocal clones and local anticlones.

Figure 3

Schematic diagram of $1+1\to M+M$ PCI telecloning with both clones and anticlones nonlocal.