4 papers · 1 filter
Digital controllability of transverse field Ising chains
Vincenzo Roberto Arezzo, Ruiyi Wang, Kiran Thengil +2
Quantum Annealing (QA) encounters limitations when the energy gap along the annealing path becomes exponentially small, leading to impractically long runtimes. In contrast, the suc…
From Exponential to Quadratic: Optimal Control for a Frustrated Ising Ring Model
Ruiyi Wang, Vincenzo Roberto Arezzo, Kiran Thengil +2
Exponentially small spectral gaps are known to be the crucial bottleneck for traditional Quantum Annealing (QA) based on interpolating between two Hamiltonians, a simple driving te…
Variational ground-state quantum adiabatic theorem
Bojan ŽunkoviÄ, Pietro Torta, Giovanni Pecci +2
We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantane…
Beyond Quantum Annealing: Optimal control solutions to MaxCut problems
Giovanni Pecci, Ruiyi Wang, Pietro Torta +2
Quantum Annealing (QA) relies on mixing two Hamiltonian terms, a simple driver and a complex problem Hamiltonian, in a linear combination. The time-dependent schedule for this mixi…