Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation
Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stab...
| Main Authors: | , , , , |
|---|---|
| Other Authors: | |
| Format: | Article |
| Language: | en_US |
| Published: |
American Physical Society
2010
|
| Online Access: | http://hdl.handle.net/1721.1/51881 https://orcid.org/0000-0001-7296-523X |
| _version_ | 1826204883585335296 |
|---|---|
| author | Chen, Xie Zeng, Bei Gu, Zheng-Cheng Yoshida, Beni Chuang, Isaac L. |
| author2 | Massachusetts Institute of Technology. Department of Physics |
| author_facet | Massachusetts Institute of Technology. Department of Physics Chen, Xie Zeng, Bei Gu, Zheng-Cheng Yoshida, Beni Chuang, Isaac L. |
| author_sort | Chen, Xie |
| collection | MIT |
| description | Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the unique ground state of a physically reasonable Hamiltonian made of two-body, nearest-neighbor interactions. We introduce such a state, composed of six-state particles on a hexagonal lattice, and describe a general method for analyzing its properties based on its projected entangled pair state representation. |
| first_indexed | 2024-09-23T13:02:34Z |
| format | Article |
| id | mit-1721.1/51881 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T13:02:34Z |
| publishDate | 2010 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/518812022-10-01T12:43:45Z Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation Chen, Xie Zeng, Bei Gu, Zheng-Cheng Yoshida, Beni Chuang, Isaac L. Massachusetts Institute of Technology. Department of Physics Gu, Zhengcheng Chen, Xie Zeng, Bei Gu, Zheng-Cheng Yoshida, Beni Chuang, Isaac L. Many-body entangled quantum states studied in condensed matter physics can be primary resources for quantum information, allowing any quantum computation to be realized using measurements alone, on the state. Such a universal state would be remarkably valuable, if only it were thermodynamically stable and experimentally accessible, by virtue of being the unique ground state of a physically reasonable Hamiltonian made of two-body, nearest-neighbor interactions. We introduce such a state, composed of six-state particles on a hexagonal lattice, and describe a general method for analyzing its properties based on its projected entangled pair state representation. 2010-03-02T15:33:34Z 2010-03-02T15:33:34Z 2009-06 2009-03 Article http://purl.org/eprint/type/JournalArticle 0031-9007 http://hdl.handle.net/1721.1/51881 Chen, Xie et al. “Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation.” Physical Review Letters 102.22 (2009): 220501. © 2009 The American Physical Society https://orcid.org/0000-0001-7296-523X en_US http://dx.doi.org/10.1103/PhysRevLett.102.220501 Physical Review Letters 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 | Chen, Xie Zeng, Bei Gu, Zheng-Cheng Yoshida, Beni Chuang, Isaac L. Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title | Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title_full | Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title_fullStr | Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title_full_unstemmed | Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title_short | Gapped Two-Body Hamiltonian Whose Unique Ground State Is Universal for One-Way Quantum Computation |
| title_sort | gapped two body hamiltonian whose unique ground state is universal for one way quantum computation |
| url | http://hdl.handle.net/1721.1/51881 https://orcid.org/0000-0001-7296-523X |
| work_keys_str_mv | AT chenxie gappedtwobodyhamiltonianwhoseuniquegroundstateisuniversalforonewayquantumcomputation AT zengbei gappedtwobodyhamiltonianwhoseuniquegroundstateisuniversalforonewayquantumcomputation AT guzhengcheng gappedtwobodyhamiltonianwhoseuniquegroundstateisuniversalforonewayquantumcomputation AT yoshidabeni gappedtwobodyhamiltonianwhoseuniquegroundstateisuniversalforonewayquantumcomputation AT chuangisaacl gappedtwobodyhamiltonianwhoseuniquegroundstateisuniversalforonewayquantumcomputation |