Dr. Kyrylo Simonov

Dr. Kyrylo Simonov

Mathematical Physicist

Faculty of Mathematics, University of Vienna

Biography

I am postdoctoral researcher currently working on quantum foundations, in particular, quantum theory on indefinite causal structures (see quantum SWITCH and process matrix formalism), and tools from nonstandard analysis to find a consistent mathematical framework of quantum theory.

Information on my research projects can be found here.

I was awarded my PhD in June 2018 from University of Vienna with the thesis focused on the intersection of quantum foundations (measurement problem, spontaneous collapse models) and high energy physics (mixed particle systems). Before my graduate studies at UV, I received degrees in physics at Taras Shevchenko National University of Kyiv with concentration in theoretical biological physics (statistical mechanics of DNA).

Interests
  • Applied Nonstandard Analysis
  • Indefinite Causality
  • Quantum Communications
  • Quantum Foundations
  • Quantum Information
  • Quantum Thermodynamics
Education

  • Ph.D. in Physics, 2018

    University of Vienna

  • M.Sc. in Physics, 2014

    Taras Shevchenko National University of Kyiv

  • B.Sc. in Physics, 2012

    Taras Shevchenko National University of Kyiv

Teaching

(WS 24) Operator Theory
The aim of the course is to develop spectral theory of self-adjoint operators in Hilbert space with a strong focus on Schrödinger operators and present its applications to quantum mechanics. Lecture notes for the course can be found here.
VO Fakultät für Mathematik, Universität WienSeminarraum 8, 2. Stock, Oskar-Morgenstern-Platz 1
(WS 24) Analysis für PhysikerInnen I
Festigung und Einübung von Inhalten der parallelen Vorlesung durch eigenständige Vorbereitung von Lösungen zu Aufgaben. Präsentation und Diskussion der Lösungsvorschläge.
UE Fakultät für Physik, Universität WienErwin-Schrödinger-Hörsaal, 5. Stock, Boltzmanngasse 5
(WS 16) Übungen zu Theoretische Physik III für das UF
Festigung und Einübung von Inhalten der parallelen Vorlesung durch eigenständige Vorbereitung von Lösungen zu Aufgaben. Präsentation und Diskussion der Lösungsvorschläge.
UE Fakultät für Physik, Universität WienSeminarraum A, 2. Stock, Währinger Straße 17

Publications

Parallel ergotropy: Maximum work extraction via parallel local unitary operations
Maximum quantum work extraction is generally defined in terms of the ergotropy functional, no matter how experimentally complicated is the implementation of the optimal unitary …
with Riccardo Castellano, Ranieri Nery, and Donato Farina
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Dimension-independent weak value estimation via controlled SWAP operations
Weak values of quantum observables are a powerful tool for investigating quantum phenomena. Some methods for measuring weak values in the laboratory require weak interactions and …
with Giulio Chiribella and Xuanqiang Zhao
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Tests of macrorealism in meson oscillation physics
Macrorealism formalizes the seemingly intuitive notion that, in contrast with the principles of quantum mechanics, a physical system can be in a definite state at any given time and …
with Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, and Luca Smaldone
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Universal Quantum Computation via Superposed Orders of Single-Qubit Gates
Superposed orders of quantum channels have already been proved - both theoretically and experimentally - to enable unparalleled opportunities in the quantum communication domain …
with Marcello Caleffi, Jessica Illiano, Jacquiline Romero, and Angela Sara Cacciapuoti
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Universal Quantum Computation via Superposed Orders of Single-Qubit Gates
Beyond Shannon Limits: Quantum Communications through Quantum Paths
A crucial step towards the 6th generation (6G) of networks would be a shift in communication paradigm beyond the limits of Shannon’s theory. In both classical and quantum …
with Marcello Caleffi and Angela Sara Cacciapuoti
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Beyond Shannon Limits: Quantum Communications through Quantum Paths
Measuring incompatibility and clustering quantum observables with a quantum switch
The existence of incompatible observables is a cornerstone of quantum mechanics and a valuable resource in quantum technologies. Here we introduce a measure of incompatibility …
with Ning Gao, Dantong Li, Anchit Mishra, Junchen Yan, and Giulio Chiribella
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Measuring incompatibility and clustering quantum observables with a quantum switch
No-signaling-in-time as a condition for macrorealism: the case of neutrino oscillations
We study necessary and sufficient conditions for macrorealism (known as no-signaling-in-time and arrow-of-time conditions) in the context of neutrino flavor transitions, within …
with Massimo Blasone, Fabrizio Illuminati, Luciano Petruzziello, and Luca Smaldone
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The Quantum Internet: Enhancing Classical Internet Services One Qubit at A Time
Nowadays, the classical Internet is mainly envisioned as the underlying communication infrastructure of the Quantum Internet, aimed at providing services such as signaling …
with Angela Sara Cacciapuoti, Jessica Illiano, Seid Koudia, and Marcello Caleffi
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The Quantum Internet: Enhancing Classical Internet Services One Qubit at A Time
Observability of spontaneous collapse in flavor oscillations and its relation to the CP and CPT symmetries
Spontaneous collapse models aim at solving the measurement problem of quantum mechanics by introducing collapse of wave function as an ontologically objective mechanism that …
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Activation of thermal states by coherently controlled thermalization processes
Thermalization processes degrade the states of any working medium, turning any initial state into a passive state from which no work can be extracted. Recently, it has been shown that …
with Saptarshi Roy, Tamal Guha, Zoltán Zimborás, and Giulio Chiribella
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Activation of thermal states by coherently controlled thermalization processes
How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
In the theory of quantum communications, a deeper structure has been recently unveiled, showing that the capacity does not completely characterize the channel ability to transmit information …
with Seid Koudia, Angela Sara Cacciapuoti, and Marcello Caleffi
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How Deep the Theory of Quantum Communications Goes: Superadditivity, Superactivation and Causal Activation
Work extraction from coherently activated maps via quantum switch
We characterize the impact that the application of two maps in a quantum-controlled order has on the process of work extraction via unitary cycles and its optimization. The control is based on the quantum switch …
with Gianluca Francica, Giacomo Guarnieri, and Mauro Paternostro
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Ergotropy from indefinite causal orders
A characterization of singular Schrödinger operators on the half-line
We study a class of delta-like perturbations of the Laplacian on the half-line, characterized by Robin boundary conditions at the …
with Raffaele Scandone and Lorenzo Luperi Baglini
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Particle mixing and the emergence of classicality: A spontaneous-collapse-model view
Spontaneous collapse models aim to resolve the measurement problem in quantum mechanics by considering wave-function collapse as a physical process. We analyze how these models affect …
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Particle mixing and the emergence of classicality: A spontaneous-collapse-model view
Gravity, entanglement, and CPT-symmetry violation in particle mixing
We study the probability oscillations of mixed particles in the presence of self-gravitational interaction. We show a breaking of the …
with Antonio Capolupo and Salvatore Marco Giampaolo
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Infinitesimal and Infinite Numbers as an Approach to Quantum Mechanics
Non-Archimedean mathematics is an approach based on fields which contain infinitesimal and infinite elements. Within this approach, we construct a space of a particular class of generalized functions, ultrafunctions. The space …
with Vieri Benci and Lorenzo Luperi Baglini
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Infinitesimal and Infinite Numbers as an Approach to Quantum Mechanics
Strong deformations of DNA: Effect on the persistence length
Extreme deformations of the DNA double helix attracted a lot of attention during the past decades. Particularly, the determination of the persistence length of DNA with extreme local disruptions, or kinks, has become …
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Strong deformations of DNA: Effect on the persistence length
The Interplay between Frustration and Entanglement in Many-Body Systems
Frustration of classical many-body systems can be used to distinguish ferromagnetic interactions from anti-ferromagnetic ones via the Toulouse conditions. A quantum version …
with Salvatore Marco Giampaolo, Antonio Capolupo, and Beatrix Hiesmayr
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The Interplay between Frustration and Entanglement in Many-Body Systems
Spontaneous collapse: A solution to the measurement problem and a source of the decay in mesonic systems
Dynamical reduction models propose a solution to the measurement problem in quantum mechanics: the collapse of the wave function becomes a physical process. We compute the predictions …
with Beatrix Hiesmayr
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Spontaneous collapse: A solution to the measurement problem and a source of the decay in mesonic systems
Constraints on the noise in dynamical reduction models
The dynamics of a quantum system with internal degrees of freedom undergoing spontaneous collapse in the position basis are analysed; …
with Beatrix Hiesmayr
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Selected Talks

Supermaps without definite causal order: Informational and thermodynamic aspects
Invited talk at the 54th Symposium on Mathematical Physics
Jun 9, 2023 5:30 PM — 6:00 PM Institute of Physics, Nicolaus Copernicus University in Toruń, Grudziądzka 5, 87-100 Toruń, Poland
Indefinite causality in quantum mechanics and its advantages for thermodynamics
Contributed talk at the International Workshop DICE2022: Spacetime - Matter - Quantum mechanics
Sep 23, 2022 11:00 AM — 11:20 AM Castello Pasquini, Castiglioncello (LI), Italy
Quantum foundations at high energies: Spontaneous collapse perspective
Invited talk at the QI Seminar of the Quantum Information and Computation Group of the University of Innsbruck
Oct 28, 2020 3:15 PM — 4:00 PM Institute for Theoretical Physics, University of Innsbruck, Technikerstraße 21A, 6020 Innsbruck, Austria (online)
Gravity, entanglement, and CPT violation in particle mixing
Contributed talk at the STRANEX workshop at the European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*)
Oct 25, 2019 10:15 AM — 10:45 AM ECT*, Strada delle Tabarelle 286, 38123 Villazzano (TN), Italy
Non-Archimedean mathematics and the framework of quantum mechanics
Invited talk at the seminar of the Cryptography and Quantum Information Group
Oct 9, 2019 8:00 AM — 9:00 AM Faculty of Informatics, Università della Svizzera italiana, Via Buffi 13, 6900 Lugano, Switzerland

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