Abstract

We construct an amplifier that interpolates between a nondeterministic, immaculate linear amplifier and a deterministic, ideal linear amplifier and beyond to nonideal linear amplifiers. The construction involves cascading an immaculate linear amplifier that has amplitude gain g1g_1 with a (possibly) nonideal linear amplifier that has gain g2g_2. With respect to normally ordered moments, the device has output noise μ2(G2−1)μ^2(G^2-1) where G=g1g2G=g_1 g_2 is the overall amplitude gain and μ2μ^2 is a noise parameter. When μ2≥1μ^2\ge1, our devices realize ideal (μ2=1μ^2=1) and nonideal (μ2>1μ^2>1) linear amplifiers. When 0≤μ2<10\leμ^2<1, these devices work effectively only over a restricted region of phase space and with some subunity success probability p✓p_{\checkmark}. We investigate the performance of our μ2μ^2-amplifiers in terms of a gain-corrected probability-fidelity product and the ratio of input to output signal-to-noise ratios corrected for success probability.

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