Fault-Tolerant Quantum Computation via Exchange interactions

Abstract

Quantum computation can be performed by encoding logical qubits into the states of two or more physical qubits, and controlling a single effective exchange interaction and possibly a global magnetic field. This "encoded universality" paradigm offers potential simplifications in quantum computer design since it does away with the need to perform single-qubit rotations. Here we show that encoded universality schemes can be combined with quantum error correction. In particular, we show explicitly how to perform fault-tolerant leakage correction, thus overcoming the main obstacle to fault-tolerant encoded universality.

5 pages, including 1 figure

References in corpus (2)

• One-spin quantum logic gates from exchange interactions and a global magnetic field
• Concatenating dynamical decoupling with decoherence-free subspaces for quantum computation

Cited by in corpus (2)

• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Precision characterisation of two-qubit Hamiltonians via entanglement mapping