structured metal and metal-dielectric composites using metamaterial and metasurface absorbers, or unpatterned low-loss substrates which constitute coherent perfect absorbers (CPAs).Electromagnetic wave absorbers may alternatively be fashioned from all-dielectric metasurfaces, [8][9][10][11] which consist of arrays of high permittivity geometrical shapes (cubes, spheres, cylinders, etc.), and realize Mie resonances, permitting them to achieve novel electromagnetic responses. [12][13][14][15] To-date dielectric metasurfaces have demonstrated exotic phenomena including, bound-states-in-thecontinuum, [16] generalized refraction, [17][18][19][20][21][22][23] holographic surfaces, [24] Huygens' surfaces, [13,25] and dynamic lenses. [26][27][28] Metasurfaces that consist purely of dielectric materials have broad benefits over conventional metal-dielectric structures. At terahertz and shorter wavelengths, the optical loss of metals increases, making it difficult to design efficient metamaterial resonators. In the infrared range, applications such as thermophotovoltaics require very high operating temperatures which would otherwise require the use of poorly conductive refractory metals such as tungsten. [29] Dielectric metasurfaces are thus a versatile platform to realize a host of unconventional physical responses and phenomena and may be utilized to realize future technologies.Here we propose and experimentally demonstrate an alldielectric metasurface absorber which attains zero-rank and maximum nullity in the scattering matrix. We term this new class of absorbers a zero-rank absorber (ZRA) and demonstrate that it is more fundamental than both CPAs [30,31] and metallic metamaterial absorbers. [31][32][33][34] Specifically, we show it is possible to construct a higher symmetry group absorber by combining two lower symmetry groups of opposite eigenmode symmetry. The ZRA operates in a state of degenerate critical coupling, where each mode absorbs half of the total incident energy, independent of phase. We experimentally characterize two all-dielectric metasurfaces to show directly that, through modification of the ZRA geometry, the degeneracy may be lifted resulting in two CPAs of opposite phase dependence.The ZRA presented here consists of a square array of cylindrical resonators with a circular generatrix (diameter d) lying perpendicular to its directrix (line of length h) and fashioned from a high permittivity material with an optimized material loss rate (depicted in Figure 1). Dielectric resonators may support a large number of different types of resonances, and here we utilize electric and magnetic quasi-dipole and multipole modes, Electromagnetic wave absorbers formed from a metamaterial layer are demonstrated and near-perfect absorption is realized across much of the spectrum. Alternatively, an unpatterned low-loss dielectric layer forms an absorber of coherent light and shows near-zero reflectance and high absorption. The latter is termed a coherent perfect absorber (CPA) and may be described as a time-reversed la...