Superbroadcasting of conjugate quantum variables

Abstract

We consider the problem of broadcasting arbitrary states of radiation modes from N to M>N copies by a map that preserves the average value of the field and optimally reduces the total noise in conjugate variables. For N>=2 the broadcasting can be achieved perfectly, and for sufficiently noisy input states one can even purify the state while broadcasting--the so-called superbroadcasting. For purification (i.e. M<=N), the reduction of noise is independent of M. Similar results are proved for broadcasting with phase-conjugation. All the optimal maps can be implemented by linear optics and linear amplification.

7 pages, 1 eps figures. Accepted for publication on Europhysics Letters

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Cited by in corpus (6)

• Quantum Dynamics as an analog of Conditional Probability
• Quantum amplification and purification of noisy coherent states
• Optimal multicopy asymmetric Gaussian cloning of coherent states
• Universal and phase covariant superbroadcasting for mixed qubit states
• Phase-covariant cloning of coherent states
• Superbroadcasting of harmonic oscillators mixed states