Quantum Search with Noisy Oracle

• URL: http://arxiv.org/abs/2309.14944v1
• Date: Tue, 26 Sep 2023 14:00:23 GMT
• Title: Quantum Search with Noisy Oracle
• Authors: Ansis Rosmanis
• Abstract summary: For every oracle call, with probability $p>0$ completely depolarizes the query registers, while otherwise working properly. We show that, for all $ple 0.99$, the quantum noisy-query complexity of the unstructured search is $tildeTheta(maxnp,sqrtn)$. The lower bound $Omega(maxnp,sqrt n)$ holds also for the dephasing noise and even when, for every oracle call, the algorithm is provided with a flag indicating whether the error has occurred.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We consider quantum search algorithms that have access to a noisy oracle that, for every oracle call, with probability $p>0$ completely depolarizes the query registers, while otherwise working properly. Previous results had not ruled out quantum $\mathrm{O}(\sqrt{n})$-query algorithms in this setting, even for constant $p$. We show that, for all $p\le 0.99$, the quantum noisy-query complexity of the unstructured search is $\tilde\Theta(\max\{np,\sqrt{n}\})$. The lower bound $\Omega(\max\{np,\sqrt n\})$ holds also for the dephasing noise and even when, for every oracle call, the algorithm is provided with a flag indicating whether the error has occurred.

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