An in-place quantum adder-by-constant circuit is constructed with n-3 ancilla qubits and T-count 4n-5, improving on prior adder-based constructions.
The basic idea First, note that if a is even, then a = 2z · a′ where a′ is odd, so the task is reduced to adding number a′ to n − z most significant bits of b
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New Circuit for Quantum Adder by Constant
An in-place quantum adder-by-constant circuit is constructed with n-3 ancilla qubits and T-count 4n-5, improving on prior adder-based constructions.