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

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Cited by in corpus (14)

• Internal Consistency of Fault-Tolerant Quantum Error Correction in Light of Rigorous Derivations of the Quantum Markovian Limit
• Simulation of a Heisenberg XY- chain and realization of a perfect state transfer algorithm using liquid nuclear magnetic resonance
• Universal Leakage Elimination
• Realizing singlet-triplet qubits in multivalley Si quantum dots
• Universal Quantum Computing with Arbitrary Continuous-Variable Encoding
• Graphene quantum dots for valley-based quantum computing: A feasibility study
• Graphene-based qubits in quantum communications
• Equation of motion for process matrix: Hamiltonian identification and dynamical control of open quantum systems
• Sudden death, birth and stable entanglement in a two-qubit Heisenberg XY spin chain
• Precision characterisation of two-qubit Hamiltonians via entanglement mapping
• Full protection of superconducting qubit systems from coupling errors
• Direct Estimation of Single- and Two-Qubit Hamiltonians and Relaxation Rates
• Quantum state transfer between valley and photon qubits
• Protected Rabi oscillation induced by natural interactions among physical qubits