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 …
Probing quantum correlations in many-body systems: a review of scalable methods
In both classical and quantum many-body physics, it is a core issue to characterize statistical
correlations among different degrees of freedom. From this point of view, a natural question …
correlations among different degrees of freedom. From this point of view, a natural question …
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 …
Theory for equivariant quantum neural networks
Quantum neural network architectures that have little to no inductive biases are known to
face trainability and generalization issues. Inspired by a similar problem, recent …
face trainability and generalization issues. Inspired by a similar problem, recent …
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 …
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 …
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 …
Shadow distillation: Quantum error mitigation with classical shadows for near-term quantum processors
Mitigating errors in quantum information processing devices is especially important in the
absence of fault tolerance. An effective method in suppressing state-preparation errors is …
absence of fault tolerance. An effective method in suppressing state-preparation errors is …
Temporal entanglement in chaotic quantum circuits
The concept of space evolution (or space-time duality) has emerged as a promising
approach for studying quantum dynamics. The basic idea involves exchanging the roles of …
approach for studying quantum dynamics. The basic idea involves exchanging the roles of …