Reconstructing quantum theory from diagrammatic postulates
- John H. Selby, C. M. Scandolo, B. Coecke
- MathematicsQuantum
- 1 February 2018
A reconstruction of finite-dimensional quantum theory where all of the postulates are stated entirely in diagrammatic terms, making them intuitive, and necessary additional axioms for a process theory to correspond to the Hilbert space model are characterised.
Entanglement of a bipartite channel
- G. Gour, C. M. Scandolo
- Computer SciencePhysical Review A
- 4 July 2019
This work rigorously study the entanglement of bipartite channels, starting from general resource theories of processes and presenting a new construction of a complete family of monotones, valid in all resource theories where the set of free superchannels is convex.
Entanglement as an axiomatic foundation for statistical mechanics
- G. Chiribella, C. M. Scandolo
- PhysicsArXiv
- 16 August 2016
It is conjecture that every theory admitting a sensible thermodynamics must be extendable to a sharp theory with purification, allowing for an information-theoretic derivation of Landauer's principle.
Categorical Probabilistic Theories
- S. Gogioso, C. M. Scandolo
- Physics
- 25 January 2017
A minimal number of operationally motivated axioms are adopted which provide clean categorical foundations, in the style of CQM, for the treatment of the problems that OPTs are concerned with.
Operational axioms for diagonalizing states
- G. Chiribella, C. M. Scandolo
- Computer ScienceArXiv
- 1 June 2015
The diagonalization result allows us to formulate a majorization criterion that captures the convertibility of states in the operational resource theory of purity, where random reversible transformations are regarded as free operations.
Operational Resource Theory of Imaginarity.
- Kang-Da Wu, Tulja Varun Kondra, A. Streltsov
- PhysicsPhysical Review Letters
- 29 July 2020
It is shown that, under reasonable assumptions, quantum states are easier to create and manipulate if they only have real elements, and this gives an operational meaning to the resource theory of imaginarity.
Dynamical Entanglement.
- G. Gour, C. M. Scandolo
- PhysicsPhysical Review Letters
- 25 September 2020
This work works with the partial transpose of a superchannel, and shows that a version of it, the max-logarithmic negativity, represents the exact asymptotic dynamical entanglement cost.
Necessary and sufficient conditions on measurements of quantum channels
- John Burniston, Michael Grabowecky, C. M. Scandolo, G. Chiribella, G. Gour
- PhysicsProceedings of the Royal Society A
- 17 April 2019
This work shows that not every quantum supermap sending a quantum channel to a CPTNI map can be realized in a measurement on quantum channels, and links this result to the fact that the principle of causality fails in the theory of quantum supermaps.
Resource theory of imaginarity: Quantification and state conversion
- Kang-Da Wu, Tulja Varun Kondra, A. Streltsov
- Physics
- 2 March 2021
Kang-Da Wu,1, 2 Tulja Varun Kondra,3 Swapan Rana,3, 4, 5 Carlo Maria Scandolo,6, 7 Guo-Yong Xiang,1, 2, ∗ Chuan-Feng Li,1, 2 Guang-Can Guo,1, 2 and Alexander Streltsov3, †1CAS Key Laboratory of…
Operational axioms for state diagonalization
- G. Chiribella, C. M. Scandolo
- Computer Science
- 1 June 2015
This work presents a set of axioms that guarantee that every state can be diagonalized, and introduces an axiom named Pure Sharp Effect, stating that for every system there exists at least one pure effect that occurs with unit probability on some state.
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