Quantum Information Processing
An Explicit Universal Gate-Set for Exchange-Only Quantum Computation
Quantum Information Processing
Existence of the Exact CNOT on a Quantum Computer with the Exchange Interaction
Quantum Information Processing
Quantum accuracy threshold for concatenated distance-3 codes
Quantum Information & Computation
Fault-tolerant quantum computation for local leakage faults
Quantum Information & Computation
Encoded universality from a single physical interaction
Quantum Information & Computation
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We describe exchange-only universal quantum computation and leakage reduction in the 3-qubit decoherence free subsystem (DFS). We discuss the angular momentum structure of the DFS, the proper forms for the DFS CNOT and leakage reduction operators in the total angular momentum basis, and new exchange-only pulse sequences for the CNOT and leakage reduction operators. Our new DFS CNOT sequence requires 22 pulses in 13 time steps. The DFS leakage reduction sequence, the first explicit leakage reduction sequence of its kind, requires 30 pulses in 20 time steps. Although the search for sequences was performed numerically using a genetic algorithm, the solutions presented here are exact, with closed-form expressions.