90 citations · 489 across the 22 of their papers we have counts for
22 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).…
Performance of Parity QAOA for the Signed Max-Cut Problem
Anita Weidinger, Glen Bigan Mbeng, Michael Fellner +2
The practical implementation of quantum optimization algorithms on noisy intermediate-scale quantum devices requires accounting for their limited connectivity. As such, the Parity…
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…
Error Mitigation for Quantum Approximate Optimization
Anita Weidinger, Glen Bigan Mbeng, Wolfgang Lechner
Solving optimization problems on near term quantum devices requires developing error mitigation techniques to cope with hardware decoherence and dephasing processes. We propose a m…
Rotated ansatz for approximate counterdiabatic driving
Glen Bigan Mbeng, Wolfgang Lechner
Approximate counterdiabatic (CD) protocols are a powerful tool to enhance quantum adiabatic processes that allow to reliably manipulate quantum systems on short time scales. Howeve…
Symmetric projected entangled-pair states analysis of a phase transition in coupled spin-1/2 ladders
Juraj Hasik, Glen B. Mbeng, Sylvain Capponi +2
Infinite projected entangled-pair states (iPEPS) have been introduced to accurately describe many-body wave functions on two-dimensional lattices. In this context, two aspects are…
Avoiding barren plateaus via transferability of smooth solutions in Hamiltonian Variational Ansatz
Antonio Anna Mele, Glen Bigan Mbeng, Giuseppe Ernesto Santoro +2
A large ongoing research effort focuses on Variational Quantum Algorithms (VQAs), representing leading candidates to achieve computational speed-ups on current quantum devices. The…
Quantum Approximate Optimization Algorithm applied to the binary perceptron
Pietro Torta, Glen B. Mbeng, Carlo Baldassi +2
We apply digitized Quantum Annealing (QA) and Quantum Approximate Optimization Algorithm (QAOA) to a paradigmatic task of supervised learning in artificial neural networks: the opt…
Two-dimensional lattice gauge theory on a near-term quantum simulator: variational quantum optimization, confinement, and topological order
Luca Lumia, Pietro Torta, Glen B. Mbeng +4
We propose an implementation of a two-dimensional lattice gauge theory model on a shallow quantum circuit, involving a number of single and two-qubits gates comparab…
Polynomial scaling enhancement in ground-state preparation of Ising spin models via counter-diabatic driving
Andreas Hartmann, Glen Bigan Mbeng, Wolfgang Lechner
The preparation of ground states of spin systems is a fundamental operation in quantum computing and serves as the basis of adiabatic quantum computing. This form of quantum comput…
Quantum optimization via four-body Rydberg gates
Clemens Dlaska, Kilian Ender, Glen Bigan Mbeng +3
There is a large ongoing research effort towards obtaining a quantum advantage in the solution of combinatorial optimization problems on near-term quantum devices. A particularly p…
The quantum Ising chain for beginners
Glen Bigan Mbeng, Angelo Russomanno, Giuseppe E. Santoro
We present here various techniques to work with clean and disordered quantum Ising chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner transformati…
Multi-spin counter-diabatic driving in many-body quantum Otto refrigerators
Andreas Hartmann, Victor Mukherjee, Glen Bigan Mbeng +2
Quantum refrigerators pump heat from a cold to a hot reservoir. In the few-particle regime, counter-diabatic (CD) driving of, originally adiabatic, work-exchange strokes is a promi…
Reinforcement Learning assisted Quantum Optimization
Matteo M. Wauters, Emanuele Panizon, Glen B. Mbeng +1
We propose a reinforcement learning (RL) scheme for feedback quantum control within the quan-tum approximate optimization algorithm (QAOA). QAOA requires a variational minimization…
Polynomial scaling of QAOA for ground-state preparation of the fully-connected p-spin ferromagnet
Matteo M. Wauters, Glen Bigan Mbeng, Giuseppe E. Santoro
We show that the quantum approximate optimization algorithm (QAOA) can construct with polynomially scaling resources the ground state of the fully-connected p-spin Ising ferromagne…
Optimal quantum control with digitized Quantum Annealing
Glen Bigan Mbeng, Rosario Fazio, Giuseppe E. Santoro
We show how a digitized version of Quantum Annealing can be made optimal, realizing the best possible solution allowed by quantum mechanics in the shortest time, without any prior…
Optimal working point in digitized quantum annealing
Glen Bigan Mbeng, Luca Arceci, Giuseppe E. Santoro
We present a study of the digitized Quantum Annealing protocol proposed by R. Barends et al., Nature 534, 222 (2016). Our analysis, performed on the benchmark case of a transverse…
Quantum Annealing: a journey through Digitalization, Control, and hybrid Quantum Variational schemes
Glen Bigan Mbeng, Rosario Fazio, Giuseppe Santoro
We establish and discuss a number of connections between a digitized version of Quantum Annealing (QA) with the Quantum Approximate Optimization Algorithm (QAOA) introduced by Farh…
The Information Complexity of Learning Tasks, their Structure and their Distance
Alessandro Achille, Giovanni Paolini, Glen Mbeng +1
We introduce an asymmetric distance in the space of learning tasks, and a framework to compute their complexity. These concepts are foundational for the practice of transfer learni…
Dynamics and Reachability of Learning Tasks
Alessandro Achille, Glen Mbeng, Stefano Soatto
We compute the transition probability between two learning tasks, and show that it decomposes into two factors. The first depends on the geometry of the loss landscape of a model t…
On the dynamics of Simulated Quantum Annealing in random Ising chains
Glen Bigan Mbeng, Lorenzo Privitera, Luca Arceci +1
Simulated Quantum Annealing (SQA), that is emulating a Quantum Annealing (QA) dynamics on a classical computer by a Quantum Monte Carlo whose parameters are changed during the simu…
Negativity spectrum in 1D gapped phases of matter
Glen Bigan Mbeng, Vincenzo Alba, Pasquale Calabrese
We investigate the spectrum of the partial transpose (negativity spectrum) of two adjacent regions in gapped one-dimensional models. We show that, in the limit of large regions, th…