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The idea of signal amplification is ubiquitous in the control of physical systems, and the ultimate performance limit of amplifiers is set by quantum physics. Increasing the amplitude of an unknown quantum optical field, or more generally any harmonic oscillator state, must introduce noise. This linear amplification noise prevents the perfect copying of the quantum state, enforces quantum limits on communications and metrology, and is the physical mechanism that prevents the increase of entanglement via local operations. It is known that non-determinist
Despite an extensive research on protecting entanglement from decoherence, it remains a challenge to protect Einstein-Podolsky-Rosen (EPR) steering due to its intrinsic difference from entanglement. We experimentally demonstrate the distillation of G
We study the operational regime of a noiseless linear amplifier based on quantum scissors that can nondeterministically amplify the one photon component of a quantum state with weak excitation. It has been shown that an arbitrarily large quantum stat
We address quantum state engineering of single- and two-mode states by means of non-deterministic noiseless linear amplifiers (NLAs) acting on Gaussian states. In particular, we show that NLAs provide an effective scheme to generate highly non-Gaussi
We suggest and investigate a scheme for non-deterministic noiseless linear amplification of coherent states using successive photon addition, $(hat a^{dagger})^2$, where $hat a^dagger$ is the photon creation operator. We compare it with a previous pr
A universal deterministic noiseless quantum amplifier has been shown to be impossible. However, probabilistic noiseless amplification of a certain set of states is physically permissible. Regarding quantum state amplification as quantum state transfo