Quality of individual photons and their ability to interfere is traditionally tested by measuring the Hong-Ou-Mandel photon bunching effect. However, this phase insensitive measurement only tests the particle aspect of the quantum interference. Motivated by these limitations, we formulate a witness capable of recognizing both the quality and the coherence of two photons from a single set of measurements. We exploit the conditional nonclassical squeezing which is sensitive to both the quality of the single photons and their indistinguishability and we show that it can be used to directly reveal both the particle and the wave aspects of the quantum interference. Finally, we experimentally test the witness by applying it to a pair of independent single photons generated on demand. PACS numbers: 42.50.Xa, 42.50.Ar, 42.50.Dv, 42.50.Ex Quantum interference of individual photons is one of the fundamental keystones of quantum technology. The ability to recognize whether photons from different sources can interfere is therefore an important one. The basic tests use photon correlation measurements to ascertain presence of individual photons and two-photon bunching to verify their interference. The experimental test of the bunching effect traditionally employs the Hong-Ou-Mandel interference [1], in which the two individual photons are mixed on a balanced beam splitter and the resulting two mode field is measured by a pair of photon counters. The bunching manifests as the lack of coincidence counts-if the coincidence probability is below one half, the interference effect is nonclassical, i. e. incompatible with description using a mixture of classical waves or classical particles. Recent experiments for a wide range of experimental platforms safely observed low values of coincidence counts and thus demonstrated this fundamental nonclassical aspect [2]. For discrete variable quantum technology (DV) these features are sufficient. However, from the point of view of continuous variables (CV) and the more general framework of hybrid quantum technology [3-6], these experiments quantify only the particle nature of the interference and ignore the vacuum and the related phase sensitive aspects [7] of the photon bunched state. The full picture of two-photon interference can be obtained by replacing the photon counters with homodyne detection and performing a full tomography [8, 9]. The reconstructed density matrix can then be analyzed in order to visualize and evaluate the interference caused by the the indistinguishability. The drawback to this tomographic approach is that it can not be used as a direct witness. The tomographic reconstruction is a process combining information from many incompatible measurements in order to obtain not directly measurable quantities, such as off-diagonal elements of the density matrix. The elements of the reconstructed matrix contain, in principle, full information about the state. However, the information is practically limited due to unavailability of a complete set of measurement and the need to ...