Realization of Universal Ion Trap Quantum Computation with Decoherence Free Qubits
T. Monz, K. Kim, A. S. Villar, P. Schindler, M. Chwalla, M. Riebe, C., F. Roos, H. H\"affner, W. H\"ansel, M. Hennrich, and R. Blatt

TL;DR
This paper demonstrates a universal set of quantum gates on decoherence-free ion qubits, including the first controlled-NOT gate within such a scalable quantum computer, significantly advancing error-resistant quantum computation.
Contribution
It introduces the first implementation of a universal gate set on decoherence-free ion qubits, enabling scalable and error-resistant quantum computing.
Findings
Successful realization of universal quantum gates on decoherence-free qubits
First controlled-NOT gate within a decoherence-free, scalable quantum computer
Enhanced coherence times by encoding in decoherence-free subspaces
Abstract
Any residual coupling of a quantum computer to the environment results in computational errors. Encoding quantum information in a so-called decoherence-free subspace provides means to avoid these errors. Despite tremendous progress in employing this technique to extend memory storage times by orders of magnitude, computation within such subspaces has been scarce. Here, we demonstrate the realization of a universal set of quantum gates acting on decoherence-free ion qubits. We combine these gates to realize the first controlled-NOT gate within a decoherence-free, scalable quantum computer.
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