Holonomic implementation of CNOT gate on topological Majorana qubits
The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via th...
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| Format: | Article |
| Language: | English |
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SciPost
2020-12-01
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| Series: | SciPost Physics Core |
| Online Access: | https://scipost.org/SciPostPhysCore.3.2.014 |
| _version_ | 1819198900349698048 |
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| author | Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel |
| author_facet | Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel |
| author_sort | Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel |
| collection | DOAJ |
| description | The CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via the holonomic control of a handful of system parameters, without requiring any measurement. We show how the adiabatic tuning of pair-wise couplings between Majoranas can robustly lead to the full entanglement of two qubits, insensitive with respect to small variations in the control of the parameters. |
| first_indexed | 2024-12-23T03:07:47Z |
| format | Article |
| id | doaj.art-856987dd13c243478c8952d47aba2aea |
| institution | Directory Open Access Journal |
| issn | 2666-9366 |
| language | English |
| last_indexed | 2024-12-23T03:07:47Z |
| publishDate | 2020-12-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics Core |
| spelling | doaj.art-856987dd13c243478c8952d47aba2aea2022-12-21T18:02:18ZengSciPostSciPost Physics Core2666-93662020-12-013201410.21468/SciPostPhysCore.3.2.014Holonomic implementation of CNOT gate on topological Majorana qubitsAlessio Calzona, Nicolas P. Bauer, Björn TrauzettelThe CNOT gate is a two-qubit gate which is essential for universal quantum computation. A well-established approach to implement it within Majorana-based qubits relies on subsequent measurement of (joint) Majorana parities. We propose an alternative scheme which operates a protected CNOT gate via the holonomic control of a handful of system parameters, without requiring any measurement. We show how the adiabatic tuning of pair-wise couplings between Majoranas can robustly lead to the full entanglement of two qubits, insensitive with respect to small variations in the control of the parameters.https://scipost.org/SciPostPhysCore.3.2.014 |
| spellingShingle | Alessio Calzona, Nicolas P. Bauer, Björn Trauzettel Holonomic implementation of CNOT gate on topological Majorana qubits SciPost Physics Core |
| title | Holonomic implementation of CNOT gate on topological Majorana qubits |
| title_full | Holonomic implementation of CNOT gate on topological Majorana qubits |
| title_fullStr | Holonomic implementation of CNOT gate on topological Majorana qubits |
| title_full_unstemmed | Holonomic implementation of CNOT gate on topological Majorana qubits |
| title_short | Holonomic implementation of CNOT gate on topological Majorana qubits |
| title_sort | holonomic implementation of cnot gate on topological majorana qubits |
| url | https://scipost.org/SciPostPhysCore.3.2.014 |
| work_keys_str_mv | AT alessiocalzonanicolaspbauerbjorntrauzettel holonomicimplementationofcnotgateontopologicalmajoranaqubits |