Abstract
In a previous publication [J. Kempe et al., Quantum Computation and Information (Rinton Press, Princeton, NJ, 2001), Vol. 1, special issue, p. 33] we showed that it is possible to implement universal quantum computation with the anisotropic XY-Heisenberg exchange acting as a single interaction. To achieve this we used encodings of the states of the computation into a larger Hilbert space. This proof is nonconstructive, however, and did not explicitly give the trade-offs in time that are required to implement encoded single-qubit operations and encoded two-qubit gates. Here we explicitly give the gate sequences needed to simulate these operations on encoded qubits and qutrits (three-level systems) and analyze the trade-offs involved. We also propose a possible layout for the qubits in a triangular arrangement.
Original language | English (US) |
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Pages (from-to) | 6 |
Number of pages | 1 |
Journal | Physical Review A - Atomic, Molecular, and Optical Physics |
Volume | 65 |
Issue number | 5 |
DOIs | |
State | Published - 2002 |
ASJC Scopus subject areas
- Atomic and Molecular Physics, and Optics