Abhilash Dharmavarapu

collaborators

4 papers

quant-ph2026

Sublinear Copies Suffice for Fidelity Estimation with Pauli Measurements

Jayadev Acharya, Abhilash Dharmavarapu, Yuhan Liu +1

We present a protocol that estimates the quantum fidelity, up to precision $ε$ , between a known target state and unknown lab-prepared state with sublinear, $o(d^{0.9908}/…

quant-ph2026

Near-Optimal Mixedness Testing with Pauli Measurements

Jayadev Acharya, Abhilash Dharmavarapu, Yuhan Liu +1

We consider a fundamental problem of \emph{mixedness testing}: Given $n$ copies of an $N$ -qubit state $ρ$ , determine whether $ρ = I_{d} / d$ or $\|ρ-\mathbb{I}_d/d\|_1 \geq \va…

quant-ph2025

Pauli Measurements Are Near-Optimal for Single-Qubit Tomography

Jayadev Acharya, Abhilash Dharmavarapu, Yuhan Liu +1

We provide the first non-trivial lower bounds for single-qubit tomography algorithms and show that at least $Ω (\frac{1 0 ^{N}}{N ε ^{2}})$ copies are required…

quant-ph2025

Pauli measurements are not optimal for single-copy tomography

Jayadev Acharya, Abhilash Dharmavarapu, Yuhan Liu +1

Quantum state tomography is a fundamental problem in quantum computing. Given $n$ copies of an unknown $N$ -qubit state $ρ \in C^{d \times d}, d = 2^{N}$ , the goal is to learn th…