Fermionic measurement-based quantum computation
Fermions, as a major class of quantum particles, provide platforms for quantum information processing beyond the possibilities of spins or bosons, which have been studied more extensively. One particularly interesting model to study, in view of recent progress in manipulating ultracold fermion gases...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | en_US |
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American Physical Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/77093 https://orcid.org/0000-0001-7296-523X |
| _version_ | 1826207326627954688 |
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| author | Chiu, Yu-Ju Chen, Xie Chuang, Isaac L. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Chiu, Yu-Ju Chen, Xie Chuang, Isaac L. |
| author_sort | Chiu, Yu-Ju |
| collection | MIT |
| description | Fermions, as a major class of quantum particles, provide platforms for quantum information processing beyond the possibilities of spins or bosons, which have been studied more extensively. One particularly interesting model to study, in view of recent progress in manipulating ultracold fermion gases, is the fermionic version of measurement-based quantum computation (MBQC), which implements full quantum computation with only single-site measurements on a proper fermionic many-body resource state. However, it is not known which fermionic states can be used as the resource states for MBQC and how to find them. In this paper, we generalize the framework of spin MBQC to fermions. In particular, we provide a general formalism to construct many-body entangled fermion resource states for MBQC based on the fermionic projected entangled pair state representation. We give a specific fermionic state which enables universal MBQC and demonstrate that the nonlocality inherent in fermion systems can be properly taken care of with suitable measurement schemes. Such a framework opens up possibilities of finding MBQC resource states which can be more readily realized in the laboratory. |
| first_indexed | 2024-09-23T13:47:36Z |
| format | Article |
| id | mit-1721.1/77093 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:47:36Z |
| publishDate | 2013 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/770932022-10-01T17:11:04Z Fermionic measurement-based quantum computation Chiu, Yu-Ju Chen, Xie Chuang, Isaac L. Massachusetts Institute of Technology. Department of Physics Chiu, Yu-Ju Chen, Xie Chuang, Isaac L. Fermions, as a major class of quantum particles, provide platforms for quantum information processing beyond the possibilities of spins or bosons, which have been studied more extensively. One particularly interesting model to study, in view of recent progress in manipulating ultracold fermion gases, is the fermionic version of measurement-based quantum computation (MBQC), which implements full quantum computation with only single-site measurements on a proper fermionic many-body resource state. However, it is not known which fermionic states can be used as the resource states for MBQC and how to find them. In this paper, we generalize the framework of spin MBQC to fermions. In particular, we provide a general formalism to construct many-body entangled fermion resource states for MBQC based on the fermionic projected entangled pair state representation. We give a specific fermionic state which enables universal MBQC and demonstrate that the nonlocality inherent in fermion systems can be properly taken care of with suitable measurement schemes. Such a framework opens up possibilities of finding MBQC resource states which can be more readily realized in the laboratory. 2013-02-14T21:20:56Z 2013-02-14T21:20:56Z 2013-01 2012-07 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/77093 Chiu, Yu-Ju, Xie Chen, and Isaac L. Chuang. “Fermionic Measurement-based Quantum Computation.” Physical Review A 87.1 (2013): [11 pages]. Web. ©2013 American Physical Society. https://orcid.org/0000-0001-7296-523X en_US http://dx.doi.org/10.1103/PhysRevA.87.012305 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Chiu, Yu-Ju Chen, Xie Chuang, Isaac L. Fermionic measurement-based quantum computation |
| title | Fermionic measurement-based quantum computation |
| title_full | Fermionic measurement-based quantum computation |
| title_fullStr | Fermionic measurement-based quantum computation |
| title_full_unstemmed | Fermionic measurement-based quantum computation |
| title_short | Fermionic measurement-based quantum computation |
| title_sort | fermionic measurement based quantum computation |
| url | http://hdl.handle.net/1721.1/77093 https://orcid.org/0000-0001-7296-523X |
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