Genuinely multipoint temporal quantum correlations and universal measurement-based quantum computing
We introduce a constructive procedure that maps all spatial correlations of a broad class of d -level states of N parties into temporal correlations between general d -outcome quantum measurements performed on a single d -level system. This allows us to present temporal phenomena analogous to genui...
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| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
2014
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/104875 http://hdl.handle.net/10220/20305 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | We introduce a constructive procedure that maps all spatial correlations of a broad class of d -level states of N parties into temporal correlations between general d -outcome quantum measurements performed on a single d -level system. This allows us to present temporal phenomena analogous to genuinely multipartite nonlocal phenomena, such as Greenberger-Horne-Zeilinger correlations, which do not exist if only projective measurements on a single qubit are considered. The map is applied to certain lattice systems in order to replace one spatial dimension with a temporal one, without affecting measured correlations. We use this map to show how repeated application of a one-dimensional (1D) cluster gate leads to universal one-way quantum computing when supplemented with general two-outcome quantum measurements. In this way, we recover a temporal version of measurement-based quantum computing performed on a sequentially recreated 1D cluster. |
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