QUANTUMNESS IN THE CONTEXT OF) RESOURCE THEORIES

By Michal Horodecki, Jonathan Oppenheim. 2012

262 citations recorded by the source corpus.

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be created under the class of operations), and those which are a resource (because they cannot be). One can quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions. The framework includes entanglement, asymmetry and purity theory. It also includes thermodynamics, which is a hybrid resource theory combining purity theory and asymmetry. Another hybrid resource theory which merges purity theory and entanglement can be used to study quantumness of correlations and discord, and we present quantumness in this more general framework of resource theories.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/cc04450d775ac6220382141f6cd7d5894ba74347

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Eric Chitambar
2. Gilad Gour
3. Joseph Emerson
4. Victor Veitch
5. Marcus Huber
6. Mile Gu
7. S. Mousavian
8. Benjamin Yadin

In Atomic and Molecular Physics, and Optics

1. Eric Chitambar
2. Gilad Gour
3. Marcus Huber
4. Mile Gu
5. Victor Veitch
6. Joseph Emerson
7. S. Mousavian
8. Benjamin Yadin

In Statistical and Nonlinear Physics

1. Gilad Gour
2. Antonio Acín
3. Victor Veitch
4. Vlatko Vedral
5. Marcus Huber
6. Eric Chitambar
7. Paul Skrzypczyk

Citations in the corpus

• The resource theory of stabilizer quantum computation (2013, background): “Both magic theory and entanglement theory belong to a broader set of resource theories[27].”
• Quantum resource theories (2018, background): “As first introduced by Janzing et al. (2000) and later extended in Brandão et al. (2013) and Horodecki and Oppenheim (2013a), the free operations in the QRT of athermality consist of all physical dynamics that conserve total energy as the system exchanges heat with the bath.”
• Extracting work from correlations (2014, background): “[5] M.”
• Quantum processes which do not use coherence (2015, background): “[2] Michal Horodecki and Jonathan Oppenheim, “(quantumness in the context of) resource theories,” International Journal of Modern Physics B 27, 1345019 (2013).”