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Quantum Simulation

Sample Complexity for Embedded Multipartite Entanglement Witness via Pauli and Clifford Classical Shadows

arXiv
Authors: Ziran Zhang

Year

2025

Paper ID

36091

Status

Preprint

Abstract Read

~2 min

Abstract Words

98

Citations

N/A

Abstract

Detecting multipartite entanglement in many qubit systems is measurement-intensive, motivating protocols that estimate only selected observables with provable efficiency. In this work we use the classical shadow protocol to study the sample complexity required to estimate a family of subsystem n-partite entanglement witness embedded in an larger N-qubit system. We derive ensemble dependent variance bounds that lead to qualitatively distinct scaling for the snapshots cost at fixed additive error ε with numerical simulations confirm these trends, exhibiting a clear crossover from Pauli favorable performance for local witness to Clifford favorable performance as the witness becomes more global.

Why This Paper Matters

  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
  • It adds a 2025 reference point for readers tracking recent quantum research.
  • Detecting multipartite entanglement in many qubit systems is measurement-intensive, motivating protocols that estimate only selected observables with provable efficiency.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.00859 [2] arXiv https://arxiv.org/abs/2601.00859 [3] Publisher https://arxiv.org/abs/2601.00859

Local Citation Graph (Related-Paper Links)

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