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Quantum resource theories in the single-shot regime
Gilad Gour
One of the main goals of any resource theory such as entanglement, quantum thermodynamics, quantum coherence, and asymmetry, is to find necessary and sufficient conditions (NSC) th…
Entanglement monotones and transformations of symmetric bipartite states
Mark W. Girard, Gilad Gour
The primary goal in the study of entanglement as a resource theory is to find conditions that determine when one quantum state can or cannot be transformed into another via local o…
Almost all multipartite qubit quantum states have trivial stabilizer
Gilad Gour, Barbara Kraus, Nolan R. Wallach
The stabilizer group of an n-qubit state ψis the set of all matrices of the form g=g_1\otimes\cdots\otimes g_n, with g_1,...,g_n being any 2x2 invertible complex matrices, that sat…
Quantum Relative Lorenz Curves
Francesco Buscemi, Gilad Gour
The theory of majorization and its variants, including thermomajorization, have been found to play a central role in the formulation of many physical resource theories, ranging fro…
The resource theory under conditioned thermal operations
Varun Narasimhachar, Gilad Gour
The "thermal operations" framework developed in past works is used to model the evolution of microscopic quantum systems in contact with thermal baths. Here we extend this model to…
Are Incoherent Operations Physically Consistent? -- A Critical Examination of Incoherent Operations
Eric Chitambar, Gilad Gour
Considerable work has recently been directed toward developing resource theories of quantum coherence. In most approaches, a state is said to possess quantum coherence if it is not…