A clock distribution network for distributing two clock signals in quadrature in a superconducting integrated circuit, the clock distribution network comprising: a first clock structure comprising a plurality of first meta-material transmission lines, MTLs, arranged to provide an in-phase clock signal formed in one or multiple metal layers, and a ground plane formed in another metal layer, wherein each of the first MTLs comprises a first plurality of unit cells, wherein each of the first plurality of unit cells includes at least one spine and at least one stub (116, 118), the at least one spine connected to the at least one stub (116, 118), the at least one stub (116, 118) further inductively coupled to at least one first superconducting element wherein the stubs (116, 118) are arranged to form a clock-line in the MTL and are connected to the ground plane using vias, wherein the clock signal has a wavelength, wherein each of the first plurality of unit cells is spaced apart from each other along the first clock structure by a distance and the stubs of each of the MTLs is separated from each other by a distance along the direction of the clock structure and wherein the distance is less than one tenth of the wavelength, and wherein the clock distribution network further comprises a second clock structure comprising a plurality of second meta-material-transmission lines MTLs, arranged to provide a quadrature clock signal formed in the same one or multiple metal layers of the plurality of first MTLs, wherein each of the second MTLs comprises a second plurality of unit cells, wherein each of the second plurality of unit cells includes at least one spine and at least one stub (116, 118), the at least one spine connected to the at least one stub (116, 118), the at least one stub (116, 118) further inductively coupled to at least one second superconducting element, wherein the stubs (116, 118) are arranged to form a clock-line in the MTL and are connected to the ground plane using vias, and wherein the two clock signals are distributed by the first clock structure providing an in-phase clock signal and the second clock structure providing a quadrature-phase clock signal. a first clock structure comprising a plurality of first meta-material transmission lines, MTLs, arranged to provide an in-phase clock signal formed in one or multiple metal layers, and a ground plane formed in another metal layer, wherein each of the first MTLs comprises a first plurality of unit cells, wherein each of the first plurality of unit cells includes at least one spine and at least one stub (116, 118), the at least one spine connected to the at least one stub (116, 118), the at least one stub (116, 118) further inductively coupled to at least one first superconducting element wherein the stubs (116, 118) are arranged to form a clock-line in the MTL and are connected to the ground plane using vias, wherein the clock signal has a wavelength, wherein each of the first plurality of unit cells is spaced apart from each other along the first clock structure by a distance and the stubs of each of the MTLs is separated from each other by a distance along the direction of the clock structure and wherein the distance is less than one tenth of the wavelength, and wherein the clock distribution network further comprises a second clock structure comprising a plurality of second meta-material-transmission lines MTLs, arranged to provide a quadrature clock signal formed in the same one or multiple metal layers of the plurality of first MTLs, wherein each of the second MTLs comprises a second plurality of unit cells, wherein each of the second plurality of unit cells includes at least one spine and at least one stub (116, 118), the at least one spine connected to the at least one stub (116, 118), the at least one stub (116, 118) further inductively coupled to at least one second superconducting element, wherein the stubs (116, 118) are arranged to form a clock-line in the MTL and are connected to the ground plane using vias, and wherein the two clock signals are distributed by the first clock structure providing an in-phase clock signal and the second clock structure providing a quadrature-phase clock signal.