In this chapter, the topic of DNA-Quantum PLD (Programmable Logic Device) will be discussed. It is a logic device that has both Programmable DNA AND array and Programmable Quantum OR array. Hence, it is the most flexible PLD. The design inputs of PLD in DNA operations are programmable. That means each DNA operation has both normal and complemented inputs of variables. So, based on the requirement, any of those inputs can be programmed. So, it is possible to generate only the required product terms by using these Quantum operations. A storage device needs to store DNA sequences between these two computing systems. DNA computing produces less heat than quantum computing. As a result, the extra heat from the outside is needed to supply the DNA circuit. DNA molecules needs to transform into qubits and for this, a transformation process (Trap-Ion) is used by which an excited magnetic state returns to its equilibrium distribution. Quantum computing produces more heat in circuits which can be used in further DNA computing the heat can be transferred to a cooler circuit to cool down.