831 citations · 6k across the 58 of their papers we have counts for
4 papers · 2 filters
Size-Driven Quantum Phase Transitions
Johannes Bausch, Toby S. Cubitt, Angelo Lucia +2
Can the properties of the thermodynamic limit of a many-body quantum system be extrapolated by analysing a sequence of finite-size cases? We present a model for which such an appro…
Area law for fixed points of rapidly mixing dissipative quantum systems
Fernando G. S. L. Brandao, Toby S. Cubitt, Angelo Lucia +2
We prove an area law with a logarithmic correction for the mutual information for fixed points of local dissipative quantum system satisfying a rapid mixing condition, under either…
Undecidability of the Spectral Gap (full version)
Toby Cubitt, David Perez-Garcia, Michael M. Wolf
We show that the spectral gap problem is undecidable. Specifically, we construct families of translationally-invariant, nearest-neighbour Hamiltonians on a 2D square lattice of d-l…
Undecidability of the Spectral Gap (short version)
Toby Cubitt, David Perez-Garcia, Michael M. Wolf
The spectral gap - the energy difference between the ground state and first excited state - is central to quantum many-body physics. Many challenging open problems, such as the Hal…