The future development of quantum technologies relies on creating and manipulating
quantum systems of increasing complexity, with key applications in computation, simulation …

As science and engineering have become increasingly data-driven, the role of optimization
has expanded to touch almost every stage of the data analysis pipeline, from signal and …

Information recovery from incomplete measurements, typically performed by a numerical
means, is beneficial in a variety of classical and quantum signal processing. Random and …

In almost all quantum applications, one of the key steps is to verify that the fidelity of the
prepared quantum state meets expectations. In this Letter, we propose a new approach …

Flexible characterization techniques that provide a detailed picture of the experimental
imperfections under realistic assumptions are crucial to gain actionable advice in the …

Reconstructing the state of quantum many-body systems is of fundamental importance in
quantum information tasks, but extremely challenging due to the curse of dimensionality. In …

We propose a quantum tomography scheme for pure qudit systems which adopts a certain
version of random basis measurements and a generative learning method, along with a built …

Quantum process tomography is the task of reconstructing unknown quantum channels from
measured data. In this work, we introduce compressed sensing-based methods that facilitate …

Quantum computers promise to surpass the most powerful classical supercomputers when it
comes to solving many critically important practical problems, such as pharmaceutical and …

It has been recently shown that a state generated by a one-dimensional noisy quantum
computer is well approximated by a matrix product operator with a finite bond dimension …