From the 1 of 15 linked papers with an AI index.
7 papers · 1 filter
Robust quantum state certification and uncertainty principles for total influence
Andrea Coladangelo, Jerry Li, Joseph Slote
The paper demonstrates that nonadaptive single‑qubit Pauli measurements can efficiently certify whether an unknown n‑qubit state is close to a target state using an optimal number…
Lower Bounds for Learning Hamiltonians from Time Evolution
Ziyun Chen, Jerry Li, Joseph Slote
Learning about a Hamiltonian from its time evolution is a fundamental task in quantum science. A flurry of recent work has developed powerful new algorithms with pro…
Approximating the operator norm of local Hamiltonians via few quantum states
Lars Becker, Joseph Slote, Alexander Volberg +1
Consider a Hermitian operator acting on a complex Hilbert space of dimension . We show that when has small degree in the Pauli expansion, or in other words, is a l…
The Power of Two Bases: Robust and copy-optimal certification of nearly all quantum states with few-qubit measurements
Andrea Coladangelo, Jerry Li, Joseph Slote +1
A central task in quantum information science is state certification: testing whether an unknown state is -close to a fixed target state, or -far. Recent work has shown…
Quantum precomputation: parallelizing cascade circuits and the Moore-Nilsson conjecture is false
Adam Bene Watts, Charles R. Chen, J. William Helton +1
Parallelization is a major challenge in quantum algorithms due to physical constraints like no-cloning. This is vividly illustrated by the conjecture of Moore and Nilsson from thei…
Testing classical properties from quantum data
Matthias C. Caro, Preksha Naik, Joseph Slote
Properties of Boolean functions can often be tested much faster than the functions can be learned. However, this advantage usually disappears when testers are limited to random sam…