This manuscript presents a strategy for controlling the transformation of excitonic states through the design of circuits made up of coupled organic dye molecules. Specifically, we show how unitary transformation matrices can be mapped to the Hamiltonians of physical systems of dye molecules with specified geometric and chemical properties.The evolution of these systems over specific times encode the action of the unitary transformation. We identify the bounds on complexity of the transformations that can be represented by these circuits. We formalize this strategy and apply it to identify the excitonic circuits of the four universal quantum logic gates: NOT, Hadamard, π/8 and CNOT. We discuss the properties of these circuits and how their performance is expected to be influenced by the presence of environmental noise. We quantify the bounds on the spectroscopic properties of organic dye circuits under which single-qubit unitary transformations are possible.The elementary component of a quantum computer -a qubit -is a two-state quantum system. A qubit can be constructed from many different physical systems, including a pair of coupled organic dye molecules sharing a single electronic excitation (i.e., an exciton).Using this kind of qubit it is therefore possible, at least in principle, to develop quantum computing platforms that operate via the excited state dynamics of specifically designed excitonic circuits comprised of multiple dye molecules in precise geometric arrangements. In this manuscript, we introduce a general strategy for designing excitonic circuits for quantum computation. We apply this strategy to identify fundamental bounds on the computational complexity that these circuits can support and identify the physical requirements for performing universal quantum logic gate operations on one-and two-qubit systems. This study therefore sets the groundwork for enabling the development of programmable dye-based quantum computing platforms.Excitonic circuits are constructed by arranging the positions and orientations of dye molecules. The evolution of excitons within the circuit is determined by the intermolecular electronic coupling network and the electronic properties of the dyes. The electronic coupling between dye molecules is programmed by their intermolecular spacing and orientation. 1 Supermolecular support structures, such as proteins, 2,3 metal-organic frameworks, 4 and DNA nanostructures, 5,6 can be used to situate dye molecules with coupling networks that are designed to control certain aspects of exciton dynamics. The resulting dynamical control can be used to implement the state transformations required for quantum computation.Quantum computing offers several key advantages over traditional classical computing and is poised to make a transformative impact on certain areas of the information sciences, such as cryptography and molecular simulation. 7,8 However, despite enormous potential for broad technological impact, quantum computing presents unique implementation challenges that have thus f...