4 papers
Nearly Time-Optimal Pure State Tomography with Pauli Measurements
Sabee Grewal, Meghal Gupta, William He +2
We give an algorithm for pure state tomography with near-optimal copy and time complexity using only single-qubit measurements. Specifically, given copies of…
On the Pure Quantum Polynomial Hierarchy and Quantified Hamiltonian Complexity
Sabee Grewal, Dorian Rudolph
We prove several new results concerning the pure quantum polynomial hierarchy (pureQPH). First, we show that QMA(2) is contained in pureQSigma2, that is, two unentangled existentia…
Efficient Learning of Structured Quantum Circuits via Pauli Dimensionality and Sparsity
Sabee Grewal, Daniel Liang
We study the problem of efficiently learning an unknown -qubit unitary channel in diamond distance given query access. We present a general framework showing that if Pauli opera…
Unentanglement and Post-Measurement Branching in Quantum Interactive Proofs
Sabee Grewal, William Kretschmer
We investigate two resources whose effects on quantum interactive proofs remain poorly understood: the promise of unentanglement, and the verifier's ability to condition on an inte…