4 papers
Fermionic Insights into Measurement-Based Quantum Computation: Circle Graph States Are Not Universal Resources
Brent Harrison, Vishnu Iyer, Ojas Parekh +2
Measurement-based quantum computation (MBQC) is a strong contender for realizing quantum computers. A critical question for MBQC is the identification of resource graph states that…
Complexity Classification of Product State Problems for Local Hamiltonians
John Kallaugher, Ojas Parekh, Kevin Thompson +2
Product states, unentangled tensor products of single qubits, are a ubiquitous ansatz in quantum computation, including for state-of-the-art Hamiltonian approximation algorithms. A…
Second order cone relaxations for quantum Max Cut
Felix Huber, Kevin Thompson, Ojas Parekh +1
Quantum Max Cut (QMC), also known as the quantum anti-ferromagnetic Heisenberg model, is a QMA-complete problem relevant to quantum many-body physics and computer science. Semidefi…
How to Design a Quantum Streaming Algorithm Without Knowing Anything About Quantum Computing
John Kallaugher, Ojas Parekh, Nadezhda Voronova
A series of work [GKK+08, Kal22, KPV24] has shown that asymptotic advantages in space complexity are possible for quantum algorithms over their classical counterparts in the stream…