The coherent superposition of states, in combination with the quantization of observables,
represents one of the most fundamental features that mark the departure of quantum …

Shor's factoring algorithm provides a superpolynomial speedup over all known classical
factoring algorithms. Here, we address the question of which quantum properties fuel this …

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

To achieve universal quantum computation via general fault-tolerant schemes, stabilizer
operations must be supplemented with other non-stabilizer quantum resources. Motivated …

To describe certain facets of nonclassicality, it is necessary to quantify properties of
operations instead of states. This is the case if one wants to quantify how well an operation …

We generalize the recently proposed resource theory of coherence (or superposition)[T.
Baumgratz, Phys. Rev. Lett. 113, 140401 (2014) PRLTAO 0031-9007 10.1103/PhysRevLett …

Decoherence is all around us. Every quantum system that interacts with the environment is
doomed to decohere. While preserving quantum coherence is a major challenge faced in …

Quantum coherence is an essential feature of quantum mechanics which is responsible for
the departure between the classical and quantum world. The recently established resource …

Coherent superposition is a key feature of quantum mechanics that underlies the advantage
of quantum technologies over their classical counterparts. Recently, coherence has been …

Given a preferred orthonormal basis B in the Hilbert space of a quantum system, we define a
measure of the coherence-generating power of a unitary operation with respect to B. This …