Characterizing barren plateaus in quantum ansätze with the adjoint representation
Variational quantum algorithms, a popular heuristic for near-term quantum computers, utilize
parameterized quantum circuits which naturally express Lie groups. It has been postulated …
parameterized quantum circuits which naturally express Lie groups. It has been postulated …
Towards large-scale quantum optimization solvers with few qubits
Quantum computers hold the promise of more efficient combinatorial optimization solvers,
which could be game-changing for a broad range of applications. However, a bottleneck for …
which could be game-changing for a broad range of applications. However, a bottleneck for …
Quantum algorithms for scientific computing
R Au-Yeung, B Camino, O Rathore… - Reports on Progress in …, 2024 - iopscience.iop.org
Quantum computing promises to provide the next step up in computational power for diverse
application areas. In this review, we examine the science behind the quantum hype, and the …
application areas. In this review, we examine the science behind the quantum hype, and the …
Trainability and expressivity of hamming-weight preserving quantum circuits for machine learning
Quantum machine learning (QML) has become a promising area for real world applications
of quantum computers, but near-term methods and their scalability are still important …
of quantum computers, but near-term methods and their scalability are still important …
Design and execution of quantum circuits using tens of superconducting qubits and thousands of gates for dense Ising optimization problems
We develop a hardware-efficient ansatz for variational optimization, derived from existing
ansatzes in the literature, that parametrizes subsets of all interactions in the cost Hamiltonian …
ansatzes in the literature, that parametrizes subsets of all interactions in the cost Hamiltonian …
Classification of dynamical Lie algebras of 2-local spin systems on linear, circular and fully connected topologies
Much is understood about 1-dimensional spin chains in terms of entanglement properties,
physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonians …
physical phases, and integrability. However, the Lie algebraic properties of the Hamiltonians …
Quantum Information Processing, Sensing, and Communications: Their Myths, Realities, and Futures
The recent advances in quantum information processing, sensing, and communications are
surveyed with the objective of identifying the associated knowledge gaps and formulating a …
surveyed with the objective of identifying the associated knowledge gaps and formulating a …
[HTML][HTML] Boundary treatment for variational quantum simulations of partial differential equations on quantum computers
The paper presents a variational quantum algorithm to solve initial–boundary value
problems described by second-order partial differential equations. The approach uses …
problems described by second-order partial differential equations. The approach uses …
[PDF][PDF] Tight and efficient gradient bounds for parameterized quantum circuits
The training of a parameterized model largely depends on the landscape of the underlying
loss function. In particular, vanishing gradients (also known as barren plateaus) are a central …
loss function. In particular, vanishing gradients (also known as barren plateaus) are a central …
Evolutionary Algorithms and Quantum Computing: Recent Advances, Opportunities, and Challenges
Quantum computers have made significant progress in the last two decades showing great
potential in tackling some of the most challenging problems in computing. This ongoing …
potential in tackling some of the most challenging problems in computing. This ongoing …