We report on the realization of a free-space single-photon absorber, which deterministically absorbs exactly one photon from an input pulse. Our scheme is based on the saturation of an optically thick medium by a single photon due to Rydberg blockade. By converting one absorbed input photon into a stationary Rydberg excitation, decoupled from the light fields through fast engineered dephasing, we blockade the full atomic cloud and change our optical medium from opaque to transparent. We show that this results in the subtraction of one photon from the input pulse over a wide range of input photon numbers. We investigate the change of the pulse shape and temporal photon statistics of the transmitted light pulses for different input photon numbers and compare the results to simulations. Based on the experimental results, we discuss the applicability of our single-photon absorber for number resolved photon detection schemes or quantum gate operations.The elementary operation of subtracting exactly one photon from an arbitrary light pulse is of great interest for testing fundamental concepts of quantum optics [1,2] as well as for the preparation of non-classical states of light for quantum information [3][4][5][6], simulation [7][8][9], and metrology protocols [10]. Heralded single-photon subtraction has been realized by monitoring the weak reflection of a highly imbalanced beam splitter, where a single detection event corresponds to subtraction of a photon from the transmitted pulse [1,11]. For sufficiently low reflectivity such that the subtraction of two or more photons becomes negligible, this procedure implements the photon annihilation operatorα [1]. This operation is inherently probabilistic, with the success rate depending on the number of incoming photons. In contrast, deterministic single-photon subtraction, where always exactly one photon is removed independent of the input photon state, can be implemented by sending the light through a medium saturable by a single absorption event. One realization of such a single-photon absorber is a single 3-level quantum emitter strongly coupled to an optical resonator [12,13], as recently demonstrated by Rosenblum et al. using a single atom coupled to a microsphere resonator [14].Here we demonstrate the experimental realiziation of a deterministic free-space single-photon absorber [15], which is based on the saturation of an optically thick free-space medium by a single photon due to Rydberg blockade [16]. Single-photon subtraction adds a new component to the growing Rydberg quantum optics toolbox [17][18][19][20], which already contains photonic logic building-blocks such as single-photon sources [21], switches [22], transistors [23][24][25], and conditional π-phase shifts [26]. Our approach is scalable to multiple cascaded absorbers, essential for preparation of non-classical light states for quantum information and metrology applications [5,11,27], and, in combination with the singlephoton transistor, high-fidelity number-resolved photon detection [15,28,29].Any pr...