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Trapped Ion Quantum Computing Quantum Simulation

Entanglement accelerates quantum simulation

arXiv
Authors: Qi Zhao, You Zhou, Andrew M. Childs

Year

2024

Paper ID

66933

Status

Preprint

Abstract Read

~2 min

Abstract Words

102

Citations

N/A

Abstract

Quantum entanglement is an essential feature of many-body systems that impacts both quantum information processing and fundamental physics. The growth of entanglement is a major challenge for classical simulation methods. In this work, we investigate the relationship between quantum entanglement and quantum simulation, showing that product-formula approximations can perform better for entangled systems. We establish a tighter upper bound for algorithmic error in terms of entanglement entropy and develop an adaptive simulation algorithm incorporating measurement gadgets to estimate the algorithmic error. This shows that entanglement is not only an obstacle to classical simulation, but also a feature that can accelerate quantum algorithms.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • Quantum entanglement is an essential feature of many-body systems that impacts both quantum information processing and fundamental physics.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2406.02379 [2] arXiv https://arxiv.org/abs/2406.02379 [3] Publisher https://arxiv.org/abs/2406.02379

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