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 …
Provably efficient machine learning for quantum many-body problems
Classical machine learning (ML) provides a potentially powerful approach to solving
challenging quantum many-body problems in physics and chemistry. However, the …
challenging quantum many-body problems in physics and chemistry. However, the …
Probing Rényi entanglement entropy via randomized measurements
Entanglement is a key feature of many-body quantum systems. Measuring the entropy of
different partitions of a quantum system provides a way to probe its entanglement structure …
different partitions of a quantum system provides a way to probe its entanglement structure …
Topological order from measurements and feed-forward on a trapped ion quantum computer
Quantum systems evolve in time in one of two ways: through the Schrödinger equation or
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …
wavefunction collapse. So far, deterministic control of quantum many-body systems in the …
Mixed-state entanglement from local randomized measurements
We propose a method for detecting bipartite entanglement in a many-body mixed state
based on estimating moments of the partially transposed density matrix. The estimates are …
based on estimating moments of the partially transposed density matrix. The estimates are …
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 …
Quantum computation of dynamical quantum phase transitions and entanglement tomography in a lattice gauge theory
Strongly coupled gauge theories far from equilibrium may exhibit unique features that could
illuminate the physics of the early universe and of hadron and ion colliders. Studying real …
illuminate the physics of the early universe and of hadron and ion colliders. Studying real …
Rényi entropies from random quenches in atomic Hubbard and spin models
We present a scheme for measuring Rényi entropies in generic atomic Hubbard and spin
models using single copies of a quantum state and for partitions in arbitrary spatial …
models using single copies of a quantum state and for partitions in arbitrary spatial …
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-resolved dynamical purification in synthetic quantum matter
When a quantum system initialized in a product state is subjected to either coherent or
incoherent dynamics, the entropy of any of its connected partitions generically increases as …
incoherent dynamics, the entropy of any of its connected partitions generically increases as …