Geometric quantum computation using nuclear magnetic resonance
A significant development in computing has been the discovery that the computational power of quantum computers exceeds that of Turing machines. Central to the experimental realization of quantum information processing is the construction of fault-tolerant quantum logic gates. Their operation requir...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2000
|
| _version_ | 1797057960525955072 |
|---|---|
| author | Jones, J Vedral, V Ekert, A Castagnoli, G |
| author_facet | Jones, J Vedral, V Ekert, A Castagnoli, G |
| author_sort | Jones, J |
| collection | OXFORD |
| description | A significant development in computing has been the discovery that the computational power of quantum computers exceeds that of Turing machines. Central to the experimental realization of quantum information processing is the construction of fault-tolerant quantum logic gates. Their operation requires conditional quantum dynamics, in which one sub-system undergoes a coherent evolution that depends on the quantum state of another sub-system; in particular, the evolving sub-system may acquire a conditional phase shift. Although conventionally dynamic in origin, phase shifts can also be geometric. Conditional geometric (or 'Berry') phases depend only on the geometry of the path executed, and are therefore resilient to certain types of errors; this suggests the possibility of an intrinsically fault-tolerant way of performing quantum gate operations. Nuclear magnetic resonance techniques have already been used to demonstrate both simple quantum information processing and geometric phase shifts. Here we combine these ideas by performing a nuclear magnetic resonance experiment in which a conditional Berry phase is implemented, demonstrating a controlled phase shift gate. |
| first_indexed | 2024-03-06T19:43:48Z |
| format | Journal article |
| id | oxford-uuid:218e7064-a529-4dd2-9c0a-c9b762a98341 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:43:48Z |
| publishDate | 2000 |
| record_format | dspace |
| spelling | oxford-uuid:218e7064-a529-4dd2-9c0a-c9b762a983412022-03-26T11:34:12ZGeometric quantum computation using nuclear magnetic resonanceJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:218e7064-a529-4dd2-9c0a-c9b762a98341EnglishSymplectic Elements at Oxford2000Jones, JVedral, VEkert, ACastagnoli, GA significant development in computing has been the discovery that the computational power of quantum computers exceeds that of Turing machines. Central to the experimental realization of quantum information processing is the construction of fault-tolerant quantum logic gates. Their operation requires conditional quantum dynamics, in which one sub-system undergoes a coherent evolution that depends on the quantum state of another sub-system; in particular, the evolving sub-system may acquire a conditional phase shift. Although conventionally dynamic in origin, phase shifts can also be geometric. Conditional geometric (or 'Berry') phases depend only on the geometry of the path executed, and are therefore resilient to certain types of errors; this suggests the possibility of an intrinsically fault-tolerant way of performing quantum gate operations. Nuclear magnetic resonance techniques have already been used to demonstrate both simple quantum information processing and geometric phase shifts. Here we combine these ideas by performing a nuclear magnetic resonance experiment in which a conditional Berry phase is implemented, demonstrating a controlled phase shift gate. |
| spellingShingle | Jones, J Vedral, V Ekert, A Castagnoli, G Geometric quantum computation using nuclear magnetic resonance |
| title | Geometric quantum computation using nuclear magnetic resonance |
| title_full | Geometric quantum computation using nuclear magnetic resonance |
| title_fullStr | Geometric quantum computation using nuclear magnetic resonance |
| title_full_unstemmed | Geometric quantum computation using nuclear magnetic resonance |
| title_short | Geometric quantum computation using nuclear magnetic resonance |
| title_sort | geometric quantum computation using nuclear magnetic resonance |
| work_keys_str_mv | AT jonesj geometricquantumcomputationusingnuclearmagneticresonance AT vedralv geometricquantumcomputationusingnuclearmagneticresonance AT ekerta geometricquantumcomputationusingnuclearmagneticresonance AT castagnolig geometricquantumcomputationusingnuclearmagneticresonance |