Classification of measurement-based quantum wire in stabilizer PEPS
We consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum...
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-06-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-06-12-1041/pdf/ |
| _version_ | 1797806022908182528 |
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| author | Paul Herringer Robert Raussendorf |
| author_facet | Paul Herringer Robert Raussendorf |
| author_sort | Paul Herringer |
| collection | DOAJ |
| description | We consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum wire, and arrive at a complete classification of transmission behaviors. The transmission behaviors fall into 13 classes, one of which corresponds to Clifford quantum cellular automata. In addition, we identify 12 other classes. |
| first_indexed | 2024-03-13T06:00:59Z |
| format | Article |
| id | doaj.art-43579808143240d8ab790390bd5cd26d |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-13T06:00:59Z |
| publishDate | 2023-06-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-43579808143240d8ab790390bd5cd26d2023-06-12T11:49:51ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-06-017104110.22331/q-2023-06-12-104110.22331/q-2023-06-12-1041Classification of measurement-based quantum wire in stabilizer PEPSPaul HerringerRobert RaussendorfWe consider a class of translation-invariant 2D tensor network states with a stabilizer symmetry, which we call stabilizer PEPS. The cluster state, GHZ state, and states in the toric code belong to this class. We investigate the transmission capacity of stabilizer PEPS for measurement-based quantum wire, and arrive at a complete classification of transmission behaviors. The transmission behaviors fall into 13 classes, one of which corresponds to Clifford quantum cellular automata. In addition, we identify 12 other classes.https://quantum-journal.org/papers/q-2023-06-12-1041/pdf/ |
| spellingShingle | Paul Herringer Robert Raussendorf Classification of measurement-based quantum wire in stabilizer PEPS Quantum |
| title | Classification of measurement-based quantum wire in stabilizer PEPS |
| title_full | Classification of measurement-based quantum wire in stabilizer PEPS |
| title_fullStr | Classification of measurement-based quantum wire in stabilizer PEPS |
| title_full_unstemmed | Classification of measurement-based quantum wire in stabilizer PEPS |
| title_short | Classification of measurement-based quantum wire in stabilizer PEPS |
| title_sort | classification of measurement based quantum wire in stabilizer peps |
| url | https://quantum-journal.org/papers/q-2023-06-12-1041/pdf/ |
| work_keys_str_mv | AT paulherringer classificationofmeasurementbasedquantumwireinstabilizerpeps AT robertraussendorf classificationofmeasurementbasedquantumwireinstabilizerpeps |