Universal quantum computation with the exchange interaction

By David P. DiVincenzo, D. Bacon, J. Kempe, G. Burkard, K. B. W. Ibm, U. Berkeley, U. Basel. Nature, 2000

726 citations recorded by the source corpus.

Various physical implementations of quantum computers are being investigated, although the requirements 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, donor-atom nuclear spins or electron spins; 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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/e159aa05021f232078ed7bec36fcfd92bbe7747f

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Citations in the corpus

Spins in few-electron quantum dots (2006, background): “For instance, when the logical qubit is encoded in three spins instead of a single spin, the exchange interaction by itself is sufficient for universal quantum computation (DiVincenzo et al., 2000).”
Coherent control of three-spin states in a triple quantum dot (2011, background): “These include encoding information either to obtain protection from decoherence or to permit all-electrical operatio”
Materials challenges and opportunities for quantum computing hardware (2021, background): “spin states in both triple quantum dots (144) and double quantum dots (145).”
Coherent singlet-triplet oscillations in a silicon-based double quantum dot (2012, methodology): “Other control methods, such as exchange-only control of three-dot system”
Decoherence-Free Subspaces and Subsystems (2003, background): “Explicit pulse sequences for the N = 3 case were derived in [88].”