Semidefinite programs are convex optimization problems involving a linear objective
function and a domain of positive-semidefinite matrices. Over the past two decades, they …

The complexity of quantum states has become a key quantity of interest across various
subfields of physics, from quantum computing to the theory of black holes. The evolution of …

This is a preliminary version of a book in progress on the theory of quantum communication.
We adopt an information-theoretic perspective throughout and give a comprehensive …

This largely self-contained book on the theory of quantum information focuses on precise
mathematical formulations and proofs of fundamental facts that form the foundation of the …

We describe and expand upon the scalable randomized benchmarking protocol proposed in
Phys. Rev. Lett. 106, 180504 (2011) PRLTAO 0031-9007 10.1103/PhysRevLett …

Quantum states may exhibit asymmetry with respect to the action of a given group. Such an
asymmetry of states can be considered a resource in applications such as quantum …

The general problem of quantum compiling is to approximate any unitary transformation that
describes the quantum computation as a sequence of elements selected from a finite base …

The concept of quantum complexity has far-reaching implications spanning theoretical
computer science, quantum many-body physics, and high-energy physics. The quantum …

Quantum process tomography is a necessary tool for verifying quantum gates and
diagnosing faults in architectures and gate design. We show that the standard approach of …

Quantum resource theories have been widely studied to systematically characterize the
nonclassicality of quantum systems. Most resource theories focus on quantum states and …