Quantum entanglement in neural network states
Machine learning, one of today's most rapidly growing interdisciplinary fields, promises an
unprecedented perspective for solving intricate quantum many-body problems …
unprecedented perspective for solving intricate quantum many-body problems …
Chaos and complexity by design
DA Roberts, B Yoshida - Journal of High Energy Physics, 2017 - Springer
A bstract We study the relationship between quantum chaos and pseudorandomness by
developing probes of unitary design. A natural probe of randomness is the “frame poten-tial,” …
developing probes of unitary design. A natural probe of randomness is the “frame poten-tial,” …
Quantifying nonstabilizerness through entanglement spectrum flatness
Nonstabilizerness, also colloquially referred to as magic, is a resource for advantage in
quantum computing and lies in the access to non-Clifford operations. Developing a …
quantum computing and lies in the access to non-Clifford operations. Developing a …
Quantum chaos is quantum
It is well known that a quantum circuit on $ N $ qubits composed of Clifford gates with the
addition of $ k $ non Clifford gates can be simulated on a classical computer by an algorithm …
addition of $ k $ non Clifford gates can be simulated on a classical computer by an algorithm …
Learning efficient decoders for quasichaotic quantum scramblers
Scrambling of quantum information is an important feature at the root of randomization and
benchmarking protocols, the onset of quantum chaos, and black-hole physics. Unscrambling …
benchmarking protocols, the onset of quantum chaos, and black-hole physics. Unscrambling …
Early breakdown of area-law entanglement at the many-body delocalization transition
We introduce the numerical linked cluster expansion as a controlled numerical tool for the
study of the many-body localization transition in a disordered system with continuous …
study of the many-body localization transition in a disordered system with continuous …
Thermalization of gauge theories from their entanglement spectrum
Using dual theories embedded into a larger unphysical Hilbert space along entanglement
cuts, we study the entanglement structure of Z 2 lattice gauge theory in (2+ 1) spacetime …
cuts, we study the entanglement structure of Z 2 lattice gauge theory in (2+ 1) spacetime …
Nonuniversal entanglement level statistics in projection-driven quantum circuits
We study the level-spacing statistics in the entanglement spectrum of output states of
random universal quantum circuits where qubits are subject to a finite probability of …
random universal quantum circuits where qubits are subject to a finite probability of …
Stabilizer entropy dynamics after a quantum quench
Stabilizer entropies (SE) measure deviations from stabilizer resources and as such are a
fundamental ingredient for quantum advantage. In particular, the interplay of SE and …
fundamental ingredient for quantum advantage. In particular, the interplay of SE and …
Phase transition in stabilizer entropy and efficient purity estimation
Stabilizer entropy (SE) quantifies the spread of a state in the basis of Pauli operators. It is a
computationally tractable measure of nonstabilizerness and thus a useful resource for …
computationally tractable measure of nonstabilizerness and thus a useful resource for …