Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  contribute a 2D nearest-neighbor quantum architecture for Shor's algorithm to factor an n-bit number in O(log3 n) depth. Our implementation uses parallel phase estimation, constant-depth fanout and teleportation, and constant-depth carry-save modular addition.  derive upper bounds on the circuit resources of our architecture under a new 2D model which allows a classical controller and parallel, communicating modules.  provide a comparison to all previous nearest-neighbor factoring implementations. Our circuit results in an exponential improvement in nearest-neighbor circuit depth at the cost of a polynomial increase in circuit size and width.
['Paul Pham', 'Krysta M. Svore']
I am writing a research paper on a idea A 2D nearest-neighbor quantum architecture for factoring in polylogarithmic depth
[{"from": "human", "value": "I am writing a research paper on a idea A 2D nearest-neighbor quantum architecture for factoring in polylogarithmic depth"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  contribute a 2D nearest-neighbor quantum architecture for Shor's algorithm to factor an n-bit number in O(log3 n) depth. Our implementation uses parallel phase estimation, constant-depth fanout and teleportation, and constant-depth carry-save modular addition.  derive upper bounds on the circuit resources of our architecture under a new 2D model which allows a classical controller and parallel, communicating modules.  provide a comparison to all previous nearest-neighbor factoring implementations. Our circuit results in an exponential improvement in nearest-neighbor circuit depth at the cost of a polynomial increase in circuit size and width."}]