Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem

• URL: http://arxiv.org/abs/2305.05416v2
• Date: Wed, 10 May 2023 02:54:34 GMT
• Title: Experimentally demonstrating indefinite causal order algorithms to solve the generalized Deutsch's problem
• Authors: Wen-Qiang Liu, Zhe Meng, Bo-Wen Song, Jian Li, Qing-Yuan Wu, Xiao-Xiao Chen, Jin-Yang Hong, An-Ning Zhang, and Zhang-qi Yin
• Abstract summary: Deutsch's algorithm is the first quantum algorithm to show the advantage over the classical algorithm. We propose a new quantum algorithm with indefinite causal order to solve this problem.
• Score: 4.555392897705548
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Deutsch's algorithm is the first quantum algorithm to show the advantage over the classical algorithm. Here we generalize Deutsch's problem to $n$ functions and propose a new quantum algorithm with indefinite causal order to solve this problem. The new algorithm not only reduces the number of queries to the black-box by half over the classical algorithm, but also significantly reduces the number of required quantum gates over the Deutsch's algorithm. We experimentally demonstrate the algorithm in a stable Sagnac loop interferometer with common path, which overcomes the obstacles of both phase instability and low fidelity of Mach-Zehnder interferometer. The experimental results have shown both an ultra-high and robust success probability $\sim 99.7\%$. Our work opens up a new path towards solving the practical problems with indefinite casual order quantum circuits.

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