Optimal Quantum Purity Amplification
Quantum purity amplification (QPA) offers a novel approach to counteracting the pervasive noise that degrades quantum states. We present the optimal QPA protocol for general quantum systems against global depolarizing noise, which has remained unknown for two decades. We construct and prove the opti...
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| Main Authors | , , , |
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| Format | Journal Article |
| Language | English |
| Published |
26.09.2024
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| Online Access | Get full text |
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| Abstract | Quantum purity amplification (QPA) offers a novel approach to counteracting
the pervasive noise that degrades quantum states. We present the optimal QPA
protocol for general quantum systems against global depolarizing noise, which
has remained unknown for two decades. We construct and prove the optimality of
our protocol, which demonstrates improved fidelity scaling compared to the
best-known methods. We explore the operational interpretation of the protocol
and provide simple examples of how to compile it into efficient circuits for
near-term experiments. Furthermore, we conduct numerical simulations to
investigate the effectiveness of our protocol in the quantum simulation of
Hamiltonian evolution, demonstrating its ability to enhance fidelity even under
circuit-level noise. 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. |
|---|---|
| AbstractList | Quantum purity amplification (QPA) offers a novel approach to counteracting
the pervasive noise that degrades quantum states. We present the optimal QPA
protocol for general quantum systems against global depolarizing noise, which
has remained unknown for two decades. We construct and prove the optimality of
our protocol, which demonstrates improved fidelity scaling compared to the
best-known methods. We explore the operational interpretation of the protocol
and provide simple examples of how to compile it into efficient circuits for
near-term experiments. Furthermore, we conduct numerical simulations to
investigate the effectiveness of our protocol in the quantum simulation of
Hamiltonian evolution, demonstrating its ability to enhance fidelity even under
circuit-level noise. 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. |
| Author | Li, Zhaoyi Fu, Honghao Chuang, Isaac Isogawa, Takuya |
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| BackLink | https://doi.org/10.48550/arXiv.2409.18167$$DView paper in arXiv |
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| Snippet | Quantum purity amplification (QPA) offers a novel approach to counteracting
the pervasive noise that degrades quantum states. We present the optimal QPA... |
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| Title | Optimal Quantum Purity Amplification |
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