dorsal/arxiv
View SchemaUniversal Fault-Tolerant Computation on Decoherence-Free Subspaces
| Authors | Dave Bacon, Julia Kempe, Daniel A. Lidar, K. B. Whaley |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9909058 |
| URL | https://arxiv.org/abs/quant-ph/9909058 |
| DOI | 10.1103/PhysRevLett.85.1758 |
| Journal | Phys. Rev. Lett. Vol 85 (8), p. 1758-61 (2000) |
Abstract
A general scheme to perform universal quantum computation within decoherence-free subspaces (DFSs) of a system's Hilbert space is presented. This scheme leads to the first fault-tolerant realization of universal quantum computation on DFSs with the properties that (i) only one- and two-qubit interactions are required, and (ii) the system remains within the DFS throughout the entire implementation of a quantum gate. We show explicitly how to perform universal computation on clusters of the four-qubit DFS encoding one logical qubit each under "collective decoherence" (qubit-permutation-invariant system-bath coupling). Our results have immediate relevance to a number of solid-state quantum computer implementations, in particular those in which quantum logic is implemented through exchange interactions, such as the recently proposed spin-spin coupled GaAs quantum dot arrays and the Si:$^{31}$P nuclear spin arrays.
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"abstract": "A general scheme to perform universal quantum computation within\ndecoherence-free subspaces (DFSs) of a system\u0027s Hilbert space is presented.\nThis scheme leads to the first fault-tolerant realization of universal quantum\ncomputation on DFSs with the properties that (i) only one- and two-qubit\ninteractions are required, and (ii) the system remains within the DFS\nthroughout the entire implementation of a quantum gate. We show explicitly how\nto perform universal computation on clusters of the four-qubit DFS encoding one\nlogical qubit each under \"collective decoherence\" (qubit-permutation-invariant\nsystem-bath coupling). Our results have immediate relevance to a number of\nsolid-state quantum computer implementations, in particular those in which\nquantum logic is implemented through exchange interactions, such as the\nrecently proposed spin-spin coupled GaAs quantum dot arrays and the Si:$^{31}$P\nnuclear spin arrays.",
"arxiv_id": "quant-ph/9909058",
"authors": [
"Dave Bacon",
"Julia Kempe",
"Daniel A. Lidar",
"K. B. Whaley"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.85.1758",
"journal_ref": "Phys. Rev. Lett. Vol 85 (8), p. 1758-61 (2000)",
"title": "Universal Fault-Tolerant Computation on Decoherence-Free Subspaces",
"url": "https://arxiv.org/abs/quant-ph/9909058"
},
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