We report amplification of electromagnetic waves by a single artificial atom in open 1D space. Our three-level artificial atom -a superconducting quantum circuit -coupled to a transmission line presents an analog of a natural atom in open space. The system is the most fundamental quantum amplifier whose gain is limited by a spontaneous emission mechanism. The noise performance is determined by the quantum noise revealed in the spectrum of spontaneous emission, also characterized in our experiments.PACS numbers: 42.50. Gy, 42.50.Nn, 85.25.Cp, 74.78.Na The quantum amplifiers are actively used devices and most of them rely on natural intra-atomic or molecular transitions with almost untunable transition frequencies [1,2]. Demonstration of amplification on a single atom or molecule in open space is possible [3], however, extremely difficult due to another common characteristic of natural atoms (molecules, quantum dots): They are relatively weakly coupled to the spatial electromagnetic waves in real experiments [3][4][5][6][7][8], in spite of theoretical feasibility of perfect coupling by careful matching of the spacial modes to the atom [9]. An alternative approach is coupling of the atoms to a field of a high quality resonator [10][11][12][13][14][15], which has been successfully used to demonstrate lasing action on single natural [16,17] and artificial [18,19] atoms. In the resonators, the atom is coupled to a single mode. On the other hand, an elementary (ultimate) quantum amplifier avoids this limitation and can be realized on a single atom strongly coupled to a continuum of electromagnetic modes of open space. The matching problem of spacial modes of electromagnetic waves can be solved by reducing space dimensionality to a 1D [20,21]. Recently, the highly efficient coupling of an artificial atom to an open 1D transmission line has been achieved experimentally [22].We demonstrate amplification on a single three-level artificial atom coupled to a 1D transmission line. The atom is a fully controllable and tunable quantum system, with all its basic characteristics, such as energy splitting and coupling to the line, designed in accordance with our requirements. Our demonstration opens the perspective of developing a new type of on-chip quantum amplifiers and other quantum devices, capable of both reproducing the known quantum-optical phenomena and realizing the novel ones, which will use the tunability, controllability and strong coupling.Our device is a multi-level quantum system based on * On leave from Physical-Technical Institute, Tashkent 100012, Uzbekistan † On leave from Lebedev Physical Institute, Moscow 119991, Russia the "flux qubit" geometry [23] (a superconducting loop with four tunnel junctions), coupled to a 1D transmission line through the loop-line mutual inductance M [24]. We limit our consideration to the three lowest energy states of the system |i (i = 1, 2, 3) with energies ω i schematically shown in Fig. 1(a). The device is designed in such a way that all relevant transition frequencies of th...