Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  demonstrate that the unbounded fan-out gate is very porful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denoted by QNC o  f ) can approximate with polynomially small error the following gates: parity, mod[q], And, Or, majority, threshold[t], exact[q], and counting. Classically,  need logarithmic depth even if  can use unbounded fan-in gates. If  allow arbitrary one-qubit gates instead of a fixed basis, then these circuits can also be made exact in log-star depth. Sorting, arithmetical operations, phase estimation, and the quantum Fourier transform can also be approximated in constant depth.
['Peter Høyer', 'Robert Spalek']
I am writing a research paper on a idea Quantum circuits with unbounded fan-out
[{"from": "human", "value": "I am writing a research paper on a idea Quantum circuits with unbounded fan-out"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  demonstrate that the unbounded fan-out gate is very porful. Constant-depth polynomial-size quantum circuits with bounded fan-in and unbounded fan-out over a fixed basis (denoted by QNC o  f ) can approximate with polynomially small error the following gates: parity, mod[q], And, Or, majority, threshold[t], exact[q], and counting. Classically,  need logarithmic depth even if  can use unbounded fan-in gates. If  allow arbitrary one-qubit gates instead of a fixed basis, then these circuits can also be made exact in log-star depth. Sorting, arithmetical operations, phase estimation, and the quantum Fourier transform can also be approximated in constant depth."}]