Parameterized quantum circuits (PQCs) play an essential role in the performance of many
variational quantum algorithms. One challenge in implementing such algorithms is choosing …

Quantum randomness is an essential key to understanding the dynamics of complex many-
body systems and also a powerful tool for quantum engineering. However, exact realizations …

A critical question for quantum computing in the near future is whether quantum devices
without error correction can perform a well-defined computational task beyond the …

The phase diagram of strong interactions in nature at finite temperature and chemical
potential remains largely theoretically unexplored due to inadequacy of Monte-Carlo–based …

We construct a quantum oracle relative to which $\mathsf {BQP}=\mathsf {QMA} $ but
cryptographic pseudorandom quantum states and pseudorandom unitary transformations …

In a recent milestone experiment, Google's processor Sycamore heralded the era of
“quantum supremacy” by sampling from the output of (pseudo-) random circuits. We show …

A unitary t-design is a powerful tool in quantum information science and fundamental
physics. Despite its usefulness, only approximate implementations were known for general t …

Variational quantum algorithms (VQAs) have emerged as a powerful class of algorithms that
is highly suitable for noisy quantum devices. Therefore, investigating their design has …

Random quantum processes play a central role both in the study of fundamental mixing
processes in quantum mechanics related to equilibration, thermalisation and fast scrambling …

We consider a class of random quantum circuits where at each step a gate from a universal
set is applied to a random pair of qubits, and determine how quickly averages of arbitrary …