Characterization of an operational quantum resource in a critical many-body system
Quantum many-body systems have been extensively studied from the perspective of quantum technology, and conversely, critical phenomena in such systems have been characterized by operationally relevant resources like entanglement. In this paper, we investigate robustness of magic (RoM), the resource...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2020-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aba919 |
| _version_ | 1797750378139222016 |
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| author | S Sarkar C Mukhopadhyay A Bayat |
| author_facet | S Sarkar C Mukhopadhyay A Bayat |
| author_sort | S Sarkar |
| collection | DOAJ |
| description | Quantum many-body systems have been extensively studied from the perspective of quantum technology, and conversely, critical phenomena in such systems have been characterized by operationally relevant resources like entanglement. In this paper, we investigate robustness of magic (RoM), the resource in magic state injection based quantum computation schemes, in the context of the transverse field anisotropic XY model. We show that the the factorizable ground state in the symmetry broken configuration is composed of an enormous number of highly magical H states. We find the existence of a point very near the quantum critical point where magic contained explicitly in the correlation between two distant qubits attains a sharp maxima. Unlike bipartite entanglement, this persists over very long distances, capturing the presence of long range correlation near the phase transition. We derive scaling laws and extract corresponding exponents around criticality. Finally, we study the effect of temperature on two-qubit RoM and show that it reveals a crossover between dominance of quantum and thermal fluctuations. |
| first_indexed | 2024-03-12T16:32:53Z |
| format | Article |
| id | doaj.art-d27106c9339e4ab4af902a0818289225 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:53Z |
| publishDate | 2020-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-d27106c9339e4ab4af902a08182892252023-08-08T15:26:29ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122808307710.1088/1367-2630/aba919Characterization of an operational quantum resource in a critical many-body systemS Sarkar0https://orcid.org/0000-0002-2933-2792C Mukhopadhyay1https://orcid.org/0000-0002-4486-9061A Bayat2https://orcid.org/0000-0003-3852-4558Institute of Physics, Polish Academy of Sciences , Aleja Lotnikow 32/46, PL-02668 Warsaw, PolandQuantum Information and Computation Group, Harish-Chandra Research Institute , HBNI, Allahabad 211019, IndiaInstitute of Fundamental and Frontier Sciences, University of Electronic Science and Technology of China , Chengdu 610051, People’s Republic of China; Department of Physics and Astronomy, University College London , London WC1E 6BT, United KingdomQuantum many-body systems have been extensively studied from the perspective of quantum technology, and conversely, critical phenomena in such systems have been characterized by operationally relevant resources like entanglement. In this paper, we investigate robustness of magic (RoM), the resource in magic state injection based quantum computation schemes, in the context of the transverse field anisotropic XY model. We show that the the factorizable ground state in the symmetry broken configuration is composed of an enormous number of highly magical H states. We find the existence of a point very near the quantum critical point where magic contained explicitly in the correlation between two distant qubits attains a sharp maxima. Unlike bipartite entanglement, this persists over very long distances, capturing the presence of long range correlation near the phase transition. We derive scaling laws and extract corresponding exponents around criticality. Finally, we study the effect of temperature on two-qubit RoM and show that it reveals a crossover between dominance of quantum and thermal fluctuations.https://doi.org/10.1088/1367-2630/aba919XY spin chainquantum phase transitionmagic state formalism |
| spellingShingle | S Sarkar C Mukhopadhyay A Bayat Characterization of an operational quantum resource in a critical many-body system New Journal of Physics XY spin chain quantum phase transition magic state formalism |
| title | Characterization of an operational quantum resource in a critical many-body system |
| title_full | Characterization of an operational quantum resource in a critical many-body system |
| title_fullStr | Characterization of an operational quantum resource in a critical many-body system |
| title_full_unstemmed | Characterization of an operational quantum resource in a critical many-body system |
| title_short | Characterization of an operational quantum resource in a critical many-body system |
| title_sort | characterization of an operational quantum resource in a critical many body system |
| topic | XY spin chain quantum phase transition magic state formalism |
| url | https://doi.org/10.1088/1367-2630/aba919 |
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