Sample optimal Quantum identity testing via Pauli Measurements

• URL: http://arxiv.org/abs/2009.11518v1
• Date: Thu, 24 Sep 2020 06:54:09 GMT
• Title: Sample optimal Quantum identity testing via Pauli Measurements
• Authors: Nengkun Yu
• Abstract summary: We show that $Theta(mathrmpoly(n)cdotfrac4nepsilon2)$ is the sample complexity of testing whether two $n$-qubit quantum states $rho$ and $sigma$ are identical or $epsilon$-far in trace distance using two-outcome Pauli measurements.
• Score: 11.98034899127065
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper, we show that $\Theta(\mathrm{poly}(n)\cdot\frac{4^n}{\epsilon^2})$ is the sample complexity of testing whether two $n$-qubit quantum states $\rho$ and $\sigma$ are identical or $\epsilon$-far in trace distance using two-outcome Pauli measurements.

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