Modeling Silicon Qubits.

Richard P. Muller, John B. Aidun, Andrew Baczewski +7 more

Travis S. Humble, M.N. Ericson, Jacek Jakowski +6 more

Developing devices that can reliably and accurately demonstrate the principles of superposition and entanglement is an on-going challenge for the quantum computing community. Modeling and simulation offer attractive means of testing early device designs and establishing expectations for operational performance. However, the complex integrated material systems required by quantum device designs are not captured by any single existing computational modeling method. We examine the development and analysis of a multi-staged computational workflow that can be used to design and characterize silicon donor qubit systems with modeling and simulation. Our approach integrates quantum chemistry calculations with electrostatic field solvers to perform detailed simulations of a phosphorus dopant in silicon. We show how atomistic details can be synthesized into an operational model for the logical gates that define quantum computation in this particular technology. The resulting computational workflow realizes a design tool for silicon donor qubits that can help verify and validate current and near-term experimental devices.

Michel Le Bellac

Alexey A. Melnikov, Leonid Evgenevich Fedichkin

The interaction of the quantum register with a noisy environment that leads to phase and bit errors is considered. Modeling of 5-qubit and 9-qubit error-correction algorithms for various environments is performed. It is shown that the use of the quantum correction leads to a quadratic decrease in the error probability. The efficiency of applying the 5-qubit algorithm of error correction for a silicon double-dot qubit is shown.

David S. Simon

Lloyd C. L. Hollenberg, Cameron J. Wellard

The Kane concept of quantum computation using single phosphorous donors in silicon has revolutionized the way we think about P-doped silicon devices. However, because of the enormous effort required in single atom fabrication detailed modeling is required to determine and optimise the scalability, and indeed feasibility, of such a vision.