Universal quantum computation with the exchange interaction

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DI VINCENZO, David P., David BACON, Julia KEMPE, Guido BURKARD, K. Brigitta WHALEY, 2000. Universal quantum computation with the exchange interaction. In: Nature. 408, pp. 339-342. ISSN 0028-0836. eISSN 1476-4687. Available under: doi: 10.1038/35042541

@article{DiVincenzo2000Unive-29158, title={Universal quantum computation with the exchange interaction}, year={2000}, doi={10.1038/35042541}, volume={408}, issn={0028-0836}, journal={Nature}, pages={339--342}, author={Di Vincenzo, David P. and Bacon, David and Kempe, Julia and Burkard, Guido and Whaley, K. Brigitta} }

Various physical implementations of quantum computers are being investigated, although the requirements<sup>1</sup> that must be met to make such devices a reality in the laboratory at present involve capabilities well beyond the state of the art. Recent solid-state approaches have used quantum dots<sup>2</sup>, donor-atom nuclear spins<sup>3</sup> or electron spins<sup>4</sup>; in these architectures, the basic two-qubit quantum gate is generated by a tunable exchange interaction between spins (a Heisenberg interaction), whereas the one-qubit gates require control over a local magnetic field. Compared to the Heisenberg operation, the one-qubit operations are significantly slower, requiring substantially greater materials and device complexity—potentially contributing to a detrimental increase in the decoherence rate. Here we introduced an explicit scheme in which the Heisenberg interaction alone suffices to implement exactly any quantum computer circuit. This capability comes at a price of a factor of three in additional qubits, and about a factor of ten in additional two-qubit operations. Even at this cost, the ability to eliminate the complexity of one-qubit operations should accelerate progress towards solid-state implementations of quantum computation<sup>1</sup>. Bacon, David Kempe, Julia Kempe, Julia 2014-10-21T10:41:57Z Burkard, Guido 2014-10-21T10:41:57Z Di Vincenzo, David P. 2000 Whaley, K. Brigitta eng Di Vincenzo, David P. Universal quantum computation with the exchange interaction Bacon, David Burkard, Guido Whaley, K. Brigitta

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