171 citations · 763 across the 28 of their papers we have counts for
25 papers · 1 filter
Towards the simulation of higher-order quantum resources: a general type-theoretic approach
Samuel B. Steakley, Elia Zanoni, Carlo Maria Scandolo
Quantum resources exist in a hierarchy of multiple levels. At order zero, quantum states are transformed by linear maps (channels, or gates) in order to perform computations or sim…
Choi-Defined Resource Theories
Elia Zanoni, Carlo Maria Scandolo
Many resource theories share an interesting property: An operation is free if and only if its renormalized Choi matrix is a free state. In this article, we refer to resource theori…
Resource Theory of Imaginarity: New Distributed Scenarios
Kang-Da Wu, Tulja Varun Kondra, Carlo Maria Scandolo +5
The resource theory of imaginarity studies the operational value of imaginary parts in quantum states, operations, and measurements. Here we introduce and study the distillation an…
Bell Nonlocality in Classical Systems Coexisting with other System Types
Giulio Chiribella, Lorenzo Giannelli, Carlo Maria Scandolo
The realistic interpretation of classical theory assumes that every classical system has well-defined properties, which may be unknown to the observer but are nevertheless part of…
Quantum hypothesis testing between qubit states with parity
Yi Shen, Carlo Maria Scandolo, Lin Chen
Quantum hypothesis testing (QHT) provides an effective method to discriminate between two quantum states using a two-outcome positive operator-valued measure (POVM). Two types of d…
Extending Resource Monotones using Kan Extensions
Robin Cockett, Isabelle Jianing Geng, Carlo Maria Scandolo +1
In this paper we generalize the framework proposed by Gour and Tomamichel regarding extensions of monotones for resource theories. A monotone for a resource theory assigns a real n…
The operational foundations of PT-symmetric and quasi-Hermitian quantum theory
Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo
PT-symmetric quantum theory was originally proposed with the aim of extending standard quantum theory by relaxing the Hermiticity constraint on Hamiltonians. However, no such exten…
Resource theory of imaginarity: Quantification and state conversion
Kang-Da Wu, Tulja Varun Kondra, Swapan Rana +5
Complex numbers are widely used in both classical and quantum physics, and are indispensable components for describing quantum systems and their dynamical behavior. Recently, the r…
Dynamical Resources
Gilad Gour, Carlo Maria Scandolo
Quantum channels are quintessential to quantum information, being used in all protocols, and describing how systems evolve in space and time. As such, they play a key role in the m…
Dynamical Entanglement
Gilad Gour, Carlo Maria Scandolo
Unlike the entanglement of quantum states, very little is known about the entanglement of bipartite channels, called dynamical entanglement. Here we work with the partial transpose…
Operational Resource Theory of Imaginarity
Kang-Da Wu, Tulja Varun Kondra, Swapan Rana +5
Wave-particle duality is one of the basic features of quantum mechanics, giving rise to the use of complex numbers in describing states of quantum systems, their dynamics, and inte…
Entanglement of a bipartite channel
Gilad Gour, Carlo Maria Scandolo
The most general quantum object that can be shared between two distant parties is a bipartite channel, as it is the basic element to construct all quantum circuits. In general, bip…
Necessary and Sufficient Conditions on Measurements of Quantum Channels
John Burniston, Michael Grabowecky, Carlo Maria Scandolo +2
Quantum supermaps are a higher-order generalization of quantum maps, taking quantum maps to quantum maps. It is known that any completely positive, trace non-increasing (CPTNI) map…
Information-theoretic foundations of thermodynamics in general probabilistic theories
Carlo Maria Scandolo
We study the informational underpinnings of thermodynamics and statistical mechanics, using an abstract framework, general probabilistic theories, capable of describing arbitrary p…
Density Hypercubes, Higher Order Interference and Hyper-Decoherence: a Categorical Approach
Stefano Gogioso, Carlo Maria Scandolo
In this work, we use the recently introduced double-dilation construction by Zwart and Coecke to construct a new categorical probabilistic theory of density hypercubes. By consider…
The first law of general quantum resource theories
Carlo Sparaciari, Lidia del Rio, Carlo Maria Scandolo +2
We extend the tools of quantum resource theories to scenarios in which multiple quantities (or resources) are present, and their interplay governs the evolution of physical systems…
Universal structure of objective states in all fundamental causal theories
Carlo Maria Scandolo, Roberto Salazar, Jarosław K. Korbicz +1
A crucial question is how objective and classical behavior arises from a fundamental physical theory. Here we provide a natural definition of a decoherence process valid in all cau…
Reconstructing quantum theory from diagrammatic postulates
John H. Selby, Carlo Maria Scandolo, Bob Coecke
We present a reconstruction of finite-dimensional quantum theory where all of the postulates are stated in diagrammatic terms, making them intuitive. Equivalently, they are stated…
Ruling out higher-order interference from purity principles
Howard Barnum, Ciarán M. Lee, Carlo Maria Scandolo +1
As first noted by Rafael Sorkin, there is a limit to quantum interference. The interference pattern formed in a multi-slit experiment is a function of the interference patterns for…
Categorical Probabilistic Theories
Stefano Gogioso, Carlo Maria Scandolo
We present a simple categorical framework for the treatment of probabilistic theories, with the aim of reconciling the fields of Categorical Quantum Mechanics (CQM) and Operational…
Entanglement as an axiomatic foundation for statistical mechanics
Giulio Chiribella, Carlo Maria Scandolo
We propose four information-theoretic axioms for the foundations of statistical mechanics in general physical theories. The axioms---Causality, Purity Preservation, Pure Sharpness,…
Microcanonical thermodynamics in general physical theories
Giulio Chiribella, Carlo Maria Scandolo
Microcanonical thermodynamics studies the operations that can be performed on systems with well-defined energy. So far, this approach has been applied to classical and quantum syst…
Operational axioms for diagonalizing states
Giulio Chiribella, Carlo Maria Scandolo
In quantum theory every state can be diagonalized, i.e. decomposed as a convex combination of perfectly distinguishable pure states. This elementary structure plays an ubiquitous r…
Entanglement and thermodynamics in general probabilistic theories
Giulio Chiribella, Carlo Maria Scandolo
Entanglement is one of the most striking features of quantum mechanics, and yet it is not specifically quantum. More specific to quantum mechanics is the connection between entangl…