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.
New Circuit for Quantum Adder by Constant
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abstract
We propose a new circuit for in-place addition of a classical $n$-bit constant to a quantum $n$-qubit integer modulo $2^n$. Our circuit uses $n-3$ ancilla qubits and has a T-count of $4n-5$. We also propose controlled version of this circuit that uses $n-2$ ancillas and has a T-count of $11n-15$. We implement these circuits in Q#.
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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.