100 citations · 215 across the 14 of their papers we have counts for
3 papers · 2 filters
Termwise versus globally stoquastic local Hamiltonians: questions of complexity and sign-curing
Marios Ioannou, Stephen Piddock, Milad Marvian +2
We elucidate the distinction between global and termwise stoquasticity for local Hamiltonians and prove several complexity results. We show that the stoquastic local Hamiltonian pr…
Translationally-Invariant Universal Quantum Hamiltonians in 1D
Tamara Kohler, Stephen Piddock, Johannes Bausch +1
Recent work has characterised rigorously what it means for one quantum system to simulate another, and demonstrated the existence of universal Hamiltonians -- simple spin lattice H…
Universal Translationally-Invariant Hamiltonians
Stephen Piddock, Johannes Bausch
In this work we extend the notion of universal quantum Hamiltonians to the setting of translationally-invariant systems. We present a construction that allows a two-dimensional spi…