We have realized a microwave quantum-limited amplifier that is directional and can therefore function without the front circulator needed in many quantum measurements. The amplification takes place in only one direction between the input and output ports. Directionality is achieved by multi-pump parametric amplification combined with wave interference. We have verified the device noise performances by using it to readout a superconducting qubit and observed quantum jumps. With an improved version of this device, qubit and preamplifer could be integrated on the same chip.PACS numbers: 84.30. Le, 85.25.Cp, 42.25.Hz Quantum non-demolition (QND) measurements often require probing a quantum system with a signal containing only a few photons [1]. Measuring such a weak signal with high fidelity in the microwave domain involves a high-gain, low-noise chain of amplifiers. However, stateof-the-art amplifiers, such as those based on high electron mobility transistors (HEMT), are not quantum-limited [2]; they add the noise equivalent of about 20 photons at the signal frequency when referred back to the input. They can also have strong in-band and out-of-band back-action on the quantum system. In an attempt to minimize the noise added by the output chain, quantumlimited amplifiers such as the Josephson bifurcation amplifier (JBA) [3, 4], Josephson parametric amplifier (JPA) [5, 6], and Josephson parametric converter (JPC) [7][8][9] have been recently developed and used as preamplifiers before the HEMT [10][11][12][13]. Unfortunately, these quantum-limited devices amplify in reflection [4,8,14] and some of them have in addition strong reflected tones, e.g. reflected pump tone in the JBA case, which cause undesirable back-action on the quantum system. These devices also do not protect the measured system from back-action originating higher up in the amplification chain. Thus, non-reciprocal devices such as circulators and isolators are required in these measurements both to separate input from output, and also to protect the quantum system from unwanted back-action.An illustration of the difference between reciprocal and non-reciprocal (NR) phenomena is shown in the cartoon in Fig. 1. Panel (a) illustrates the reciprocity symmetry in wave physics, which is known in daily-life as "you see the eyes which see you". In other words, a medium is reciprocal if its transmission coefficient for electromagnetic waves is invariant upon exchanging the source and the detector. Panel (b) on the other hand illustrates the less common phenomenon of non-reciprocity in which a certain medium or device breaks the reciprocity symmetry * Current address: IBM T. J. Watson Research Center, Yorktown Heights, New York 10598, USA.† Electronic address: michel.devoret@yale.edu allowing only the detector to see the source and not the opposite. To achieve non-reciprocity, circulators and isolators exploit a magneto-optical effect known as Faraday rotation, which relies on ferrites and permanent magnets, in order to distinguish between polarized waves pr...