Quadratic acceleration of multi-step probabilistic algorithms for state preparation

• URL: http://arxiv.org/abs/2308.03605v2
• Date: Mon, 21 Aug 2023 15:14:19 GMT
• Title: Quadratic acceleration of multi-step probabilistic algorithms for state preparation
• Authors: Hirofumi Nishi and Taichi Kosugi and Yusuke Nishiya and Yu-ichiro Matsushita
• Abstract summary: A non-unitary operator is typically designed to decay undesirable states contained in an initial state. Probabilistic algorithms do not accelerate the computational process compared to classical ones.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: For quantum state preparation, a non-unitary operator is typically designed to decay undesirable states contained in an initial state using ancilla qubits and a probabilistic action. Probabilistic algorithms do not accelerate the computational process compared to classical ones. In this study, quantum amplitude amplification (QAA) and multi-step probabilistic algorithms are combined to achieve quadratic acceleration. This method outperforms quantum phase estimation in terms of infidelity. The quadratic acceleration was confirmed by the probabilistic imaginary-time evolution (PITE) method.

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