T-count and Qubit Optimized Quantum Circuit Designs of Carry Lookahead Adder

Understand

Quantum circuits of arithmetic operations such as addition are needed to implement quantum algorithms in hardware.

• Quantum circuits based on Clifford+T gates are used as they can be made tolerant to noise.
• The tradeoff of gaining fault tolerance from using Clifford+T gates and error correcting codes is the high implementation overhead of the T gate.
• As a result, the T-count performance measure has become important in quantum circuit design.