Optimal Quantum Purity Amplification

Fuente: arXiv
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Autori principali: Li, Zhaoyi, Fu, Honghao, Isogawa, Takuya, Silva, Caio, Chuang, Isaac
Natura: Preprint
Pubblicazione: 2024
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author Li, Zhaoyi
Fu, Honghao
Isogawa, Takuya
Silva, Caio
Chuang, Isaac
author_facet Li, Zhaoyi
Fu, Honghao
Isogawa, Takuya
Silva, Caio
Chuang, Isaac
contents Quantum purity amplification (QPA) provides a novel approach to counteracting the pervasive noise that degrades quantum states. We present the optimal QPA protocol for general quantum systems and global noise, resolving a two-decade open problem. Under strong depolarization, our protocol achieves an exponential reduction in sample complexity over the best-known methods. We provide an efficient implementation of the protocol based on generalized quantum phase estimation. Additionally, we introduce SWAPNET, a sparse and shallow circuit that enables QPA for near-term experiments. Simulations in both digital and analog quantum settings, along with experiments on superconducting quantum processors, confirm the protocol's robustness and practical utility. Our findings suggest that QPA could improve the performance of quantum information processing tasks, particularly in the context of Noisy Intermediate-Scale Quantum (NISQ) devices, where reducing the effect of noise with limited resources is critical.
format Preprint
id arxiv_https___arxiv_org_abs_2409_18167
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Optimal Quantum Purity Amplification
Li, Zhaoyi
Fu, Honghao
Isogawa, Takuya
Silva, Caio
Chuang, Isaac
Quantum Physics
Quantum purity amplification (QPA) provides a novel approach to counteracting the pervasive noise that degrades quantum states. We present the optimal QPA protocol for general quantum systems and global noise, resolving a two-decade open problem. Under strong depolarization, our protocol achieves an exponential reduction in sample complexity over the best-known methods. We provide an efficient implementation of the protocol based on generalized quantum phase estimation. Additionally, we introduce SWAPNET, a sparse and shallow circuit that enables QPA for near-term experiments. Simulations in both digital and analog quantum settings, along with experiments on superconducting quantum processors, confirm the protocol's robustness and practical utility. Our findings suggest that QPA could improve the performance of quantum information processing tasks, particularly in the context of Noisy Intermediate-Scale Quantum (NISQ) devices, where reducing the effect of noise with limited resources is critical.
title Optimal Quantum Purity Amplification
topic Quantum Physics
url https://arxiv.org/abs/2409.18167