Kaldenbach, Thierry N. ; Heller, Matthias ; Alber, Gernot ; Stojanović, Vladimir M. (2024)
Digital Quantum Simulation of Scalar Yukawa Coupling.
In: Quantum Reports, 2024, 6 (3)
doi: 10.26083/tuprints-00027871
Artikel, Zweitveröffentlichung, Verlagsversion
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Kurzbeschreibung (Abstract)
Motivated by the revitalized interest in the digital simulation of medium- and high-energy physics phenomena, we investigate the dynamics following a Yukawa interaction quench on IBM Q. Adopting the zero-dimensional version of the scalar Yukawa coupling model as our point of departure, we design low-depth quantum circuits, emulating its dynamics with up to three bosons. In the one-boson case, we demonstrate circuit compression, i.e., a constant-depth circuit containing only two controlled-NOT (CNOT) gates. In the more complex three-boson case, we design a circuit in which one Trotter step entails eight CNOTs. Using an analogy with the traveling salesman problem, we also provide a CNOT cost estimate for higher boson number truncations. Based on these circuits, we quantify the system dynamics by evaluating the expected boson number at an arbitrary time after the quench and the survival probability of the initial vacuum state (the Loschmidt echo). We also utilize these circuits to drive adiabatic transitions and compute the energies of the ground- and first-excited states of the considered model. Finally, through error mitigation, i.e., zero-noise extrapolation, we demonstrate the good agreement of our results with a numerically exact classical benchmark.
| Typ des Eintrags: | Artikel |
|---|---|
| Erschienen: | 2024 |
| Autor(en): | Kaldenbach, Thierry N. ; Heller, Matthias ; Alber, Gernot ; Stojanović, Vladimir M. |
| Art des Eintrags: | Zweitveröffentlichung |
| Titel: | Digital Quantum Simulation of Scalar Yukawa Coupling |
| Sprache: | Englisch |
| Publikationsjahr: | 18 September 2024 |
| Ort: | Darmstadt |
| Publikationsdatum der Erstveröffentlichung: | September 2024 |
| Ort der Erstveröffentlichung: | Basel |
| Verlag: | MDPI |
| Titel der Zeitschrift, Zeitung oder Schriftenreihe: | Quantum Reports |
| Jahrgang/Volume einer Zeitschrift: | 6 |
| (Heft-)Nummer: | 3 |
| DOI: | 10.26083/tuprints-00027871 |
| URL / URN: | https://tuprints.ulb.tu-darmstadt.de/27871 |
| Zugehörige Links: | |
| Herkunft: | Zweitveröffentlichung DeepGreen |
| Kurzbeschreibung (Abstract): | Motivated by the revitalized interest in the digital simulation of medium- and high-energy physics phenomena, we investigate the dynamics following a Yukawa interaction quench on IBM Q. Adopting the zero-dimensional version of the scalar Yukawa coupling model as our point of departure, we design low-depth quantum circuits, emulating its dynamics with up to three bosons. In the one-boson case, we demonstrate circuit compression, i.e., a constant-depth circuit containing only two controlled-NOT (CNOT) gates. In the more complex three-boson case, we design a circuit in which one Trotter step entails eight CNOTs. Using an analogy with the traveling salesman problem, we also provide a CNOT cost estimate for higher boson number truncations. Based on these circuits, we quantify the system dynamics by evaluating the expected boson number at an arbitrary time after the quench and the survival probability of the initial vacuum state (the Loschmidt echo). We also utilize these circuits to drive adiabatic transitions and compute the energies of the ground- and first-excited states of the considered model. Finally, through error mitigation, i.e., zero-noise extrapolation, we demonstrate the good agreement of our results with a numerically exact classical benchmark. |
| Freie Schlagworte: | digital quantum simulation, boson–fermion coupling, low-depth quantum circuits |
| Status: | Verlagsversion |
| URN: | urn:nbn:de:tuda-tuprints-278718 |
| Zusätzliche Informationen: | This article belongs to the Special Issue Exclusive Feature Papers of Quantum Reports in 2024–2025 |
| Sachgruppe der Dewey Dezimalklassifikatin (DDC): | 000 Allgemeines, Informatik, Informationswissenschaft > 004 Informatik 500 Naturwissenschaften und Mathematik > 530 Physik |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme 20 Fachbereich Informatik > Fraunhofer IGD 05 Fachbereich Physik 05 Fachbereich Physik > Institut für Angewandte Physik 05 Fachbereich Physik > Institut für Angewandte Physik > Theoretische Quantenphysik |
| Hinterlegungsdatum: | 18 Sep 2024 11:39 |
| Letzte Änderung: | 19 Sep 2024 07:11 |
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