5 papers
Parity Mapping for Quantum Optimization on Frustrated Ising Rings
Ruiyi Wang, Anita Weidinger, Glen Bigan Mbeng +2
The frustrated Ising ring is one of the simplest models exhibiting exponential closing spectral gaps, making it a paradigmatic and challenging benchmark for quantum annealing (QA).…
Digital techniques for the frustrated Ising ring: the role of counter-diabatic terms
Kiran Thengil, Vincenzo Roberto Arezzo, Giuseppe E. Santoro
We investigate the role of local counter-diabatic (CD) terms in enhancing the performance of discrete-time digital protocols for a frustrated Ising ring, a system with an exponenti…
Continuous-time quantum control across an exponentially small bottleneck in a frustrated Ising ring model
Vincenzo Roberto Arezzo, Kiran Thengil, Giuseppe Santoro
Continuous-time Quantum Annealing (QA) is a strategy for preparing the ground state of nontrivial many-body systems. In its standard form, the dynamics is generated by a time-depen…
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…