Apparatus and method for performing a quantum rotation operation. For example, one embodiment of an apparatus comprises: a decoder to decode a plurality of instructions; execution circuitry to execute a first instruction or first set of the instructions to generate a floating point (FP) value and to store the FP value in a first register; the execution circuitry to execute a second instruction or second set of the one or more of the instructions to read the FP value from the first register and compress the FP value to generate a compressed FP value having a precision selected for performing quantum rotation operations; and quantum interface circuitry to process the compressed FP value to cause a quantum rotation to be performed on one or more qubits of a quantum processor.