626 citations · 636 across the 11 of their papers we have counts for
4 papers · 2 filters
Classical versus quantum queries in quantum PCPs with classical proofs
Harry Buhrman, François Le Gall, Jordi Weggemans
We generalize quantum-classical PCPs, first introduced by Weggemans, Folkertsma and Cade (TQC 2024), to allow for quantum queries to a polynomially-sized classical proof ($\mat…
Beating the natural Grover bound for low-energy estimation and state preparation
Harry Buhrman, Sevag Gharibian, Zeph Landau +3
Estimating ground state energies of many-body Hamiltonians is a central task in many areas of quantum physics. In this work, we give quantum algorithms which, given any -body Ha…
Permutation tests for quantum state identity
Harry Buhrman, Dmitry Grinko, Philip Verduyn Lunel +1
The quantum analogue of the equality function, known as the quantum state identity problem, is the task of deciding whether unknown quantum states are equal or unequal, given t…
Quantum PCPs: on Adaptivity, Multiple Provers and Reductions to Local Hamiltonians
Harry Buhrman, Jonas Helsen, Jordi Weggemans
We define a general formulation of quantum PCPs, which captures adaptivity and multiple unentangled provers, and give a detailed construction of the quantum reduction to a local Ha…