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Conference on Lasers and Electro-Optics

Quantum computation with donor-based qubits in silicon photonic cavities

R. L. de Matos Filho, Miguel Abanto, Belita Koiller, L. Davidovich

Published May 1, 2008• 0 citations
Publisher

Abstract

We propose a quantum computation scheme, which combines a silicon donor quantum computing architecture with the optical initialization, manipulation, and detection processes already demonstrated in ion traps. The errors in the implementation of logic gates would be bellow the threshold for scalable quantum computation.
DOI
10.1109/cleo.2008.4552132

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We propose an architecture for quantum computing involving substitutional donors in photonic-crystal silicon cavities and the optical initialization, manipulation, and detection processes already demonstrated in ion traps and other atomic systems. Our scheme leads to easily achievable requirements on the positioning of the donors and considerably simplifies the implementation of the building blocks required for the operation of silicon-based quantum computing devices, including realization of one- and two-qubit gates, initialization, and readout of the qubits. Detailed consideration of the processes involved, using state-of-the-art values for the relevant parameters, indicates that this architecture leads to errors per gate compatible with fault-tolerant quantum computation and should be useful for quantum simulations and quantum optics applications.
An architecture for a quantum computer is presented in which spins associated with donors in silicon function as qubits. Quantum operations on the spins are performed using a combination of voltages applied to gates adjacent to the spins and radio frequency magnetic fields applied resonant with spin transitions. Initialization and measurement of electron spins is made by electrostatic probing of a two electron system, whose orbital configuration must depend on the spin states of the electrons because of the Pauli Principle. Specific devices will be discussed which perform all the necessary operations for quantum computing, with an emphasis placed on a qualitative presentation of the principles underlying their operation. The likely impediments to achieving large-scale quantum computation using this architecture will be addressed: the computer must operate at extremely low temperature, must be fabricated from devices built with near atomic precision, and will require extremely accurate gating operations in order to perform quantum logic. Refinements to the computer architecture will be presented which could remedy each of these deficiencies. I will conclude by discussing a possible specific realization of the computer using Si/SixGe1–x heterostructures into which donors are deposited using a low energy focused ion beam.
Recent experimental progress in quantum information processing with trapped ions have demonstrated most of the fundamental elements required to realize a scalable quantum computer. The next set of challenges lie in realization of a large number of qubits and the means to prepare, manipulate and measure them, leading to error-protected qubits and fault tolerant architectures. The integration of qubits necessarily require integrated optical approach as most of these operations involve interaction with photons. In this paper, we discuss integrated optics technologies and concrete optical designs needed for the physical realization of scalable quantum computer.
Abstract A comprehensive circuit architecture and a protocol for realizing 3D cluster states through photonic‐measurement‐based donor‐spin‐qubit entanglement and readout are described. The basic building blocks and protocol are chosen to be compatible with a fully integrated photonic circuit implementation, using Se+ as the photonically coupled matter qubit. The basic operational building blocks of this universal quantum computing machine are local measurements and unitaries, plus an entangling measurement of non‐local Pauli operators. By analyzing several sources of error, a theoretical fault‐tolerant threshold value is estimated on the order of 1%. Considering the literature where required components have already been realized in integrated silicon circuits, albeit not all on the same chip, this suggests the threshold is within reach.