Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Quantum spatial search has been widely studied with most of the study focusing on quantum walk algorithms.  show that quantum walk algorithms are extremely sensitive to systematic errors.  present a recursive algorithm which offers significant robustness to certain systematic errors. To search N items, our recursive algorithm can tolerate errors of size $$O(1{/}\sqrt{\ln N})$$O(1/lnN) which is exponentially better than quantum walk algorithms for which tolerable error size is only $$O(\ln N{/}\sqrt{N})$$O(lnN/N). Also, our algorithm does not need any ancilla qubit. Thus our algorithm is much easier to implement experimentally compared to quantum walk algorithms.
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I am writing a research paper on a idea Robust quantum spatial search
[{"from": "human", "value": "I am writing a research paper on a idea Robust quantum spatial search"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Quantum spatial search has been widely studied with most of the study focusing on quantum walk algorithms.  show that quantum walk algorithms are extremely sensitive to systematic errors.  present a recursive algorithm which offers significant robustness to certain systematic errors. To search N items, our recursive algorithm can tolerate errors of size $$O(1{/}\\sqrt{\\ln N})$$O(1/lnN) which is exponentially better than quantum walk algorithms for which tolerable error size is only $$O(\\ln N{/}\\sqrt{N})$$O(lnN/N). Also, our algorithm does not need any ancilla qubit. Thus our algorithm is much easier to implement experimentally compared to quantum walk algorithms."}]