Review
Physics, Multidisciplinary
Martin Plavala
Summary: This article introduces the framework of General Probabilistic Theories (GPTs), including basic concepts and elements, and proves several important results. The review aims to provide readers with a consistent introduction to GPTs.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2023)
Article
Physics, Multidisciplinary
Paulo J. Cavalcanti, John H. Selby, Jamie Sikora, Ana Belen Sainz
Summary: This paper demonstrates that the quasi-stochastic characteristics of non-signalling channels can be applied to a broader class of multipartite scenarios. The results hold for both quantum theory and generalised probabilistic theories. The proof technique employs Hardy's duotensor formalism.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Gianbattista-Piero Nicosia, Jackson Levi Said, Viktor Gakis
Summary: The study introduces a new teleparallel gravity analog to Proca theories by extending the generalised Proca framework due to the lower-order nature of torsion-based gravity. It explores the possibility of a much larger class of teleparallel Proca theories models that do have an impact on background cosmology, as demonstrated by the example of the Friedmann equations in this regime.
EUROPEAN PHYSICAL JOURNAL PLUS
(2021)
Article
Physics, Multidisciplinary
Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo
Summary: This study aims to answer the question of whether there exists a consistent physical theory that extends standard quantum theory with PT-symmetric observables. The study finds that, according to the framework of general probabilistic theories, the resulting theory from imposing PT-symmetry on observables only allows for one trivial state. Moreover, considering the constraint of quasi-Hermiticity on observables, the study shows that such a system is equivalent to a standard quantum system. If all observables are both quasi-Hermitian and PT-symmetric, then the system is equivalent to a real quantum system.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Particles & Fields
C. Wetterich
Summary: This study constructs a classical automaton model for a specific version of the Thirring model, demonstrating properties consistent with quantum mechanics, such as unitary time evolution and interacting fermionic quantum field theory. Through probabilistic initial conditions, this classical automaton can be described in the formalism of quantum mechanics, showing interesting features like spontaneous symmetry breaking or solitons.
Article
Physics, Multidisciplinary
Victoria J. Wright
Summary: Quantum theory exhibits a form of intermediate determinism where the actual properties of a system in a pure state determine the probability of other properties, a concept extended from properties to measurements. This observation is guaranteed by the lattice structure of properties and can be applied to separable Hilbert spaces of any dimension.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Anna Jencova
Summary: In this study, the concept of steering in general probabilistic theories is explored, with a focus on dichotomic assemblages. The use of a certain tensor cross norm and steering robustness to characterize steering is shown, along with the application of Choquet theory for probability measures on the state space. The study provides a variational expression for universal steering degree and conditions for unsteerable states.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Computer Science, Theory & Methods
Cihan Okay, Ho Yiu Chung, Selman Ipek
Summary: The paper focuses on the study of polytopes MP(beta) obtained from the Mermin square scenario, which are parametrized by a function beta. The main contribution of the paper is the classification of the vertices of two types of polytopes, MP0 and MP1, based on the parity of beta. The paper also describes the associated graph of the polytopes and provides insights into the noncontextual distributions and simulation of universal quantum computation.
QUANTUM INFORMATION & COMPUTATION
(2023)
Review
Multidisciplinary Sciences
Erez Zohar
Summary: The field of quantum simulation of lattice gauge theories, which aims to implement simulators of gauge theories with quantum platforms, has experienced rapid development. It has gained interest not only from the quantum information and technology communities, but also from particle and nuclear physicists who see it as a tool for tackling hard, non-perturbative gauge theory problems. More and more experiments have been reported, mainly focusing on 1 + 1 dimensional physics.
PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
(2022)
Article
Optics
Ludovico Lami, Bartosz Regula, Ryuji Takagi, Giovanni Ferrari
Summary: Resource theories provide a framework for characterizing properties of physical systems, with a universal resource quantifier based on robustness. It can be used to quantify resources in general probabilistic theories and is computed through convex conic optimization problems. The robustness acts as a faithful and strongly monotonic measure in resource theories described by convex and closed sets of free states, and has applications in various physical resources such as optical nonclassicality, entanglement, non-Gaussianity, and coherence.
Letter
Physics, Multidisciplinary
Abhijeet Alase, Salini Karuvade, Carlo Maria Scandolo
Summary: This document is a response to a comment on our recent work titled 'The operational foundations of PT-symmetric and quasi-Hermitian quantum theory'. The comment consists of three addenda, addressing the motivation, references, and constraints of our work. We clarify the misinterpretation in the first addendum and highlight the relevance of our motivating question in the third addendum. Additionally, we explain our rationale for citing specific references in response to the second addendum.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Physics, Multidisciplinary
Lucas K. Kovalsky, Fernando A. Calderon-Vargas, Matthew D. Grace, Alicia B. Magann, James B. Larsen, Andrew D. Baczewski, Mohan Sarovar
Summary: This paper investigates the application of adiabatic time evolution and Trotterization in quantum state evolution. By proving that the cumulative infidelity in the first-order Trotterization follows a scaling of O(T-2ot2), instead of the expected O(T2ot2) from general Trotter error bounds, it explains why the infidelity of digitized evolutions decreases for fixed-ot even with increasing T.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Ryo Takakura, Takayuki Miyadera
Summary: The study explores entropic uncertainty relations in generalized probabilistic theories and proves that these relations can be obtained in these theories, showing that the entropic structure in uncertainty relations is not limited to quantum theory.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Multidisciplinary Sciences
Hanqing Liu, Shailesh Chandrasekharan
Summary: Qubit regularization is a crucial procedure for simulating lattice quantum field theories on a quantum computer. It enforces certain algebraic structures on the quantum fields and can help recover the fixed points of desired quantum field theories.
Article
Automation & Control Systems
Noelia Pizzi, Ernesto Kofman, Damian Edgardo Marelli, Jose Adrian De Dona, Maria M. Seron
Summary: This article extends the concepts of probabilistic ultimate bounds (PUB) and probabilistic invariant sets (PIS) to nonlinear continuous-time systems, providing tools for their characterization and control design. Two design strategies based on Lyapunov and stochastic feedback linearization are proposed to find a nonlinear control law ensuring probabilistic ultimate boundedness of the closed loop system to a desired region.