59 citations · 272 across the 46 of their papers we have counts for
38 papers · 1 filter
The Focked-up ZX Calculus: Picturing Continuous-Variable Quantum Computation
Razin A. Shaikh, Lia Yeh, Stefano Gogioso
While the ZX and ZW calculi have been effective as graphical reasoning tools for finite-dimensional quantum computation, the possibilities for continuous-variable quantum computati…
Local fraction in Static Causal Orders
Stefano Gogioso, Nicola Pinzani
In this Letter, we introduce a notion of local fraction for experiments taking place against arbitrary static causal backgrounds -- greatly generalising previous results on no-sign…
Classification of causally complete spaces on 3 events with binary inputs
Stefano Gogioso, Nicola Pinzani
We present an exhaustive classification of the 2644 causally complete spaces of input histories on 3 events with binary inputs, together with the algorithm used to find them. This…
The Geometry of Causality
Stefano Gogioso, Nicola Pinzani
We provide a unified operational framework for the study of causality, non-locality and contextuality, in a fully device-independent and theory-independent setting. We define causa…
The Topology of Causality
Stefano Gogioso, Nicola Pinzani
We provide a unified operational framework for the study of causality, non-locality and contextuality, in a fully device-independent and theory-independent setting. Our work has it…
Time symmetry in quantum theories and beyond
John H. Selby, Maria E. Stasinou, Stefano Gogioso +1
There exists a stark tension among different formulations of quantum theory as some are inherently time-symmetric while others are time-asymmetric. This tension is crisply captured…
Annealing Optimisation of Mixed ZX Phase Circuits
Stefano Gogioso, Richie Yeung
We present a topology-aware optimisation technique for circuits of mixed ZX phase gadgets, based on conjugation by CX gates and simulated annealing.
The Combinatorics of Causality
Stefano Gogioso, Nicola Pinzani
We introduce and explore the notion of "spaces of input histories", a broad family of combinatorial objects which can be used to model input-dependent, dynamical causal order. We m…
Categorical Semantics for Feynman Diagrams
Razin A. Shaikh, Stefano Gogioso
We introduce a novel compositional description of Feynman diagrams, with well-defined categorical semantics as morphisms in a dagger-compact category. Our chosen setting is suitabl…
Finite-dimensional Quantum Observables are the Special Symmetric Dagger-Frobenius Algebras of CP Maps
Stefano Gogioso
We use purity, a principle borrowed from the foundations of quantum information, to show that all special symmetric dagger-Frobenius algebras in CPM(fHilb) are canonical, i.e. that…
CPM Categories for Galois Extensions
James Hefford, Stefano Gogioso
By considering a generalisation of the CPM construction, we develop an infinite hierarchy of probabilistic theories, exhibiting compositional decoherence structures which generalis…
The Sheaf-Theoretic Structure of Definite Causality
Stefano Gogioso, Nicola Pinzani
We fill a gap in the study of contextuality by extending the sheaf-theoretic framework for non-locality by Abramsky and Brandenburger to deal with operational scenarios in the pres…
Functorial evolution of quantum fields
Stefano Gogioso, Maria E. Stasinou, Bob Coecke
We present a compositional algebraic framework to describe the evolution of quantum fields in discretised spacetimes. We show how familiar notions from Relativity and quantum causa…
Giving Operational Meaning to the Superposition of Causal Orders
Nicola Pinzani, Stefano Gogioso
In this work, we give rigorous operational meaning to superposition of causal orders. This fits within a recent effort to understand how the standard operational perspective on qua…
Hyper-decoherence in Density Hypercubes
James Hefford, Stefano Gogioso
We study hyper-decoherence in three operational theories from the literature, all examples of the recently introduced higher-order CPM construction. Amongst these, we show the theo…
A Process-Theoretic Church of the Larger Hilbert Space
Stefano Gogioso
We show how to reconstruct a process theory of local systems starting from a global theory of reversible processes on a single global system, by using the purification principle. I…
Purification and time-reversal deny entanglement in LOCC-distinguishable orthonormal bases
Stefano Gogioso, Subhayan Roy Moulik
We give a simple proof, based on time-reversibility and purity, that a complete orthonormal family of pure states which can be perfectly distinguished by LOCC cannot contain any en…
Categorical Semantics for Time Travel
Nicola Pinzani, Stefano Gogioso, Bob Coecke
We introduce a general categorical framework to reason about quantum theory and other process theories living in spacetimes where Closed Timelike Curves (CTCs) are available, allow…
Classical structures of CP maps are all canonical
Stefano Gogioso
We use purity, a principle borrowed from the foundations of quantum information, to show that all isometric comonoids in the category $\operatorname{CPM}\left(\operatorname{fHilb}\…
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…
Symmetric Monoidal Structure with Local Character is a Property
Stefano Gogioso, Dan Marsden, Bob Coecke
In previous work we proved that, for categories of free finite-dimensional modules over a commutative semiring, linear compact-closed symmetric monoidal structure is a property, ra…
Quantum Field Theory in Categorical Quantum Mechanics
Stefano Gogioso, Fabrizio Genovese
We use tools from non-standard analysis to formulate the building blocks of quantum field theory within the framework of categorical quantum mechanics. Building upon previous work,…
Uniqueness of Composition in Quantum Theory and Linguistics
Bob Coecke, Fabrizio Genovese, Stefano Gogioso +2
We derive a uniqueness result for non-Cartesian composition of systems in a large class of process theories, with important implications for quantum theory and linguistics. Specifi…
The time-reverse of any causal theory is eternal noise
Bob Coecke, Stefano Gogioso, John H. Selby
We consider a very general class of theories, process theories, which capture the underlying structure common to most theories of physics as we understand them today (be they estab…