Transforming pure and mixed states using an NMR quantum homogeniser
The universal quantum homogeniser can transform a qubit from any state to any other state with arbitrary accuracy, using only unitary transformations to perform this task. Here we present an implementation of a finite quantum homogeniser using nuclear magnetic resonance (NMR), with a four-qubit syst...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Jezik: | English |
| Izdano: |
American Physical Society
2021
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| _version_ | 1826263463705444352 |
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| author | Violaris, M Bhole, G Jones, JA Vedral, V Marletto, C |
| author_facet | Violaris, M Bhole, G Jones, JA Vedral, V Marletto, C |
| author_sort | Violaris, M |
| collection | OXFORD |
| description | The universal quantum homogeniser can transform a qubit from any state to any
other state with arbitrary accuracy, using only unitary transformations to
perform this task. Here we present an implementation of a finite quantum
homogeniser using nuclear magnetic resonance (NMR), with a four-qubit system.
We compare the homogenisation of a mixed state to a pure state, and the reverse
process. After accounting for the effects of decoherence in the system, we find
the experimental results to be consistent with the theoretical symmetry in how
the qubit states evolve in the two cases. We analyse the implications of this
symmetry by interpreting the homogeniser as a physical implementation of pure
state preparation and information scrambling. |
| first_indexed | 2024-03-06T19:52:10Z |
| format | Journal article |
| id | oxford-uuid:24525439-edc3-40fe-be24-70208baaedcd |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T19:52:10Z |
| publishDate | 2021 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | oxford-uuid:24525439-edc3-40fe-be24-70208baaedcd2022-03-26T11:49:26ZTransforming pure and mixed states using an NMR quantum homogeniserJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:24525439-edc3-40fe-be24-70208baaedcdEnglishSymplectic ElementsAmerican Physical Society2021Violaris, MBhole, GJones, JAVedral, VMarletto, CThe universal quantum homogeniser can transform a qubit from any state to any other state with arbitrary accuracy, using only unitary transformations to perform this task. Here we present an implementation of a finite quantum homogeniser using nuclear magnetic resonance (NMR), with a four-qubit system. We compare the homogenisation of a mixed state to a pure state, and the reverse process. After accounting for the effects of decoherence in the system, we find the experimental results to be consistent with the theoretical symmetry in how the qubit states evolve in the two cases. We analyse the implications of this symmetry by interpreting the homogeniser as a physical implementation of pure state preparation and information scrambling. |
| spellingShingle | Violaris, M Bhole, G Jones, JA Vedral, V Marletto, C Transforming pure and mixed states using an NMR quantum homogeniser |
| title | Transforming pure and mixed states using an NMR quantum homogeniser |
| title_full | Transforming pure and mixed states using an NMR quantum homogeniser |
| title_fullStr | Transforming pure and mixed states using an NMR quantum homogeniser |
| title_full_unstemmed | Transforming pure and mixed states using an NMR quantum homogeniser |
| title_short | Transforming pure and mixed states using an NMR quantum homogeniser |
| title_sort | transforming pure and mixed states using an nmr quantum homogeniser |
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