Stabilisation of Quantum Computations by Symmetrisation

We propose a method for the stabilisation of quantum computations (including quantum state storage). The method is based on the operation of projection into $\cal SYM$, the symmetric subspace of the full state space of $R$ redundant copies of the computer. We describe an efficient algorithm and quan...

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Main Authors: Barenco, A, Berthiaume, A, Deutsch, D, Ekert, A, Jozsa, R, Macchiavello, C
Format: Journal article
Published: 1996
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author Barenco, A
Berthiaume, A
Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
author_facet Barenco, A
Berthiaume, A
Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
author_sort Barenco, A
collection OXFORD
description We propose a method for the stabilisation of quantum computations (including quantum state storage). The method is based on the operation of projection into $\cal SYM$, the symmetric subspace of the full state space of $R$ redundant copies of the computer. We describe an efficient algorithm and quantum network effecting $\cal SYM$--projection and discuss the stabilising effect of the proposed method in the context of unitary errors generated by hardware imprecision, and nonunitary errors arising from external environmental interaction. Finally, limitations of the method are discussed.
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spelling oxford-uuid:ab523460-551b-442c-9f68-abe351d325392022-03-27T03:21:10ZStabilisation of Quantum Computations by SymmetrisationJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:ab523460-551b-442c-9f68-abe351d32539Symplectic Elements at Oxford1996Barenco, ABerthiaume, ADeutsch, DEkert, AJozsa, RMacchiavello, CWe propose a method for the stabilisation of quantum computations (including quantum state storage). The method is based on the operation of projection into $\cal SYM$, the symmetric subspace of the full state space of $R$ redundant copies of the computer. We describe an efficient algorithm and quantum network effecting $\cal SYM$--projection and discuss the stabilising effect of the proposed method in the context of unitary errors generated by hardware imprecision, and nonunitary errors arising from external environmental interaction. Finally, limitations of the method are discussed.
spellingShingle Barenco, A
Berthiaume, A
Deutsch, D
Ekert, A
Jozsa, R
Macchiavello, C
Stabilisation of Quantum Computations by Symmetrisation
title Stabilisation of Quantum Computations by Symmetrisation
title_full Stabilisation of Quantum Computations by Symmetrisation
title_fullStr Stabilisation of Quantum Computations by Symmetrisation
title_full_unstemmed Stabilisation of Quantum Computations by Symmetrisation
title_short Stabilisation of Quantum Computations by Symmetrisation
title_sort stabilisation of quantum computations by symmetrisation
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AT berthiaumea stabilisationofquantumcomputationsbysymmetrisation
AT deutschd stabilisationofquantumcomputationsbysymmetrisation
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AT jozsar stabilisationofquantumcomputationsbysymmetrisation
AT macchiavelloc stabilisationofquantumcomputationsbysymmetrisation