A Lie algebraic theory of barren plateaus for deep parameterized quantum circuits
Variational quantum computing schemes train a loss function by sending an initial state
through a parametrized quantum circuit, and measuring the expectation value of some …
through a parametrized quantum circuit, and measuring the expectation value of some …
A unified theory of barren plateaus for deep parametrized quantum circuits
AFV CoverSheet Page 1 LA-UR-23-30483 Accepted Manuscript A Lie algebraic theory of
barren plateaus for deep parameterized quantum circuits Cerezo de la Roca, Marco Vinicio …
barren plateaus for deep parameterized quantum circuits Cerezo de la Roca, Marco Vinicio …
A review of barren plateaus in variational quantum computing
Variational quantum computing offers a flexible computational paradigm with applications in
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …
diverse areas. However, a key obstacle to realizing their potential is the Barren Plateau (BP) …
Random unitaries in extremely low depth
We prove that random quantum circuits on any geometry, including a 1D line, can form
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …
approximate unitary designs over $ n $ qubits in $\log n $ depth. In a similar manner, we …
[HTML][HTML] Learning quantum properties from short-range correlations using multi-task networks
Characterizing multipartite quantum systems is crucial for quantum computing and many-
body physics. The problem, however, becomes challenging when the system size is large …
body physics. The problem, however, becomes challenging when the system size is large …
Computing exact moments of local random quantum circuits via tensor networks
A basic primitive in quantum information is the computation of the moments $\mathbb {E} _U
[{\rm Tr}[U\rho U^\dagger O]^ t] $. These describe the distribution of expectation values …
[{\rm Tr}[U\rho U^\dagger O]^ t] $. These describe the distribution of expectation values …
Predicting arbitrary state properties from single hamiltonian quench dynamics
Analog quantum simulation is an essential routine for quantum computing and plays a
crucial role in studying quantum many-body physics. Typically, the quantum evolution of an …
crucial role in studying quantum many-body physics. Typically, the quantum evolution of an …
Efficient classical shadow tomography through many-body localization dynamics
Classical shadow tomography serves as a potent tool for extracting numerous properties
from quantum many-body systems with minimal measurements. Nevertheless, prevailing …
from quantum many-body systems with minimal measurements. Nevertheless, prevailing …
Floquet engineering of interactions and entanglement in periodically driven Rydberg chains
Neutral atom arrays driven into Rydberg states constitute a promising approach for realizing
programmable quantum systems. Enabled by strong interactions associated with Rydberg …
programmable quantum systems. Enabled by strong interactions associated with Rydberg …
Exact spectral gaps of random one-dimensional quantum circuits
The spectral gap of local random quantum circuits is a fundamental property that determines
how close the moments of the circuit's unitaries match those of a Haar random distribution …
how close the moments of the circuit's unitaries match those of a Haar random distribution …