The randomized measurement toolbox
Programmable quantum simulators and quantum computers are opening unprecedented
opportunities for exploring and exploiting the properties of highly entangled complex …
opportunities for exploring and exploiting the properties of highly entangled complex …
Entanglement Hamiltonians: from field theory to lattice models and experiments
Results about entanglement (or modular) Hamiltonians of quantum many‐body systems in
field theory and statistical mechanics models, and recent applications in the context of …
field theory and statistical mechanics models, and recent applications in the context of …
Observing the quantum Mpemba effect in quantum simulations
The nonequilibrium physics of many-body quantum systems harbors various unconventional
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …
phenomena. In this Letter, we experimentally investigate one of the most puzzling of these …
Measurement-induced quantum phases realized in a trapped-ion quantum computer
Many-body open quantum systems balance internal dynamics against decoherence and
measurements induced by interactions with an environment,. Quantum circuits composed of …
measurements induced by interactions with an environment,. Quantum circuits composed of …
Efficient estimation of pauli observables by derandomization
We consider the problem of jointly estimating expectation values of many Pauli observables,
a crucial subroutine in variational quantum algorithms. Starting with randomized …
a crucial subroutine in variational quantum algorithms. Starting with randomized …
Entanglement barrier and its symmetry resolution: Theory and experimental observation
The operator entanglement (OE) is a key quantifier of the complexity of a reduced density
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …
matrix. In out-of-equilibrium situations, eg, after a quantum quench of a product state, it is …
Symmetry-resolved entanglement detection using partial transpose moments
We propose an ordered set of experimentally accessible conditions for detecting
entanglement in mixed states. The k-th condition involves comparing moments of the …
entanglement in mixed states. The k-th condition involves comparing moments of the …
Nonequilibrium full counting statistics and symmetry-resolved entanglement from space-time duality
Owing to its probabilistic nature, a measurement process in quantum mechanics produces a
distribution of possible outcomes. This distribution—or its Fourier transform known as full …
distribution of possible outcomes. This distribution—or its Fourier transform known as full …
Probing many-body quantum chaos with quantum simulators
The spectral form factor (SFF), characterizing statistics of energy eigenvalues, is a key
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …
diagnostic of many-body quantum chaos. In addition, partial spectral form factors (PSFFs) …
Symmetry decomposition of negativity of massless free fermions
We consider the problem of symmetry decomposition of the entanglement negativity in free
fermionic systems. Rather than performing the standard partial transpose, we use the partial …
fermionic systems. Rather than performing the standard partial transpose, we use the partial …