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arXiv:1202.5227 · Chinese Physics B

Quantum computation with two-dimensional graphene quantum dots

Jiesen Li, Zhibing Li, Dao‐Xin Yao

Published Jan 1, 2012• 9 citations
arXivHTMLPDF

Abstract

We study an array of graphene nano sheets that form a two-dimensional S = 1/2 Kagome spin lattice used for quantum computation. The edge states of the graphene nano sheets are used to form quantum dots to confine electrons and perform the computation. We propose two schemes of bang-bang control to combat decoherence and realize gate operations on this array of quantum dots. It is shown that both schemes contain a great amount of information for quantum computation. The corresponding gate operations are also proposed.

DOI
10.1088/1674-1056/21/1/017302

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We study an array of graphene nano sheets that form a two-dimensional S = 1/2 Kagome spin lattice used for quantum computation. The edge states of the graphene nano sheets are used to form quantum dots to confine electrons and perform the computation. We propose two schemes of bang-bang control to combat decoherence and realize gate operations on this array of quantum dots. It is shown that both schemes contain a great amount of information for quantum computation. The corresponding gate operations are also proposed.
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The works that have been devoted to the topic of quantum computer design have been examined. The main issues surrounding the development of a quantum computer are explored. The “up to bottom” concept has been presented and supported as a fundamentally novel way to solve the problem of building a really quantum computer. The technique can be accomplished by using nanotriggers made of two-dimensional materials, such as graphene, to visualise the quantum states of qubits in advance. This refers to the visualisation (materialisation) of all states, including entangled states, which primarily determine the quantum computer's theoretically large mathematical resource. The proposal is for an electronic device block diagram based on “a priory” quantum states of q-bits. It is demonstrated that each realised (visualised) Shor's cell should correspond to an element of the electronic system for the execution of quantum computation procedures. A block containing at least 1010 nanotriggers that act as q-bits in quantum computation and are generated using graphene nanoribbons and controlled by a specific element is included in the device. The latter is a self-organizing quantum dot with two essentially different magnetic states. This quantum dot is made from a compound whose molecules are distinguished by intramolular rearrangement. Nanotriggers are used to create reversible logic gates or blocks. Three triggers are included in each gate to perform logical operations. The offered device is an additional electronic unit implanted in a digital computer that allows the computational process to be implemented in accordance with the requirements of quantum physics.
Quantum computation in solid state quantum dots faces two significant challenges: Decoherence from interactions with the environment and the difficulty of generating local magnetic fields for the single qubit rotations. This paper presents a design of composite qubits to overcome both challenges. Each qubit is encoded in the degenerate ground-state of four (or six) electrons in a system of five quantum dots arranged in a two-dimensional pattern. This decoherence-free subspace is immune to both collective and local decoherence, and resists other forms of decoherence, which must raise the energy. The gate operations for universal computation are simple and physically intuitive, and are controlled by modifying the tunneling barriers between the dots--Control of local magnetic fields is not required. A controlled-phase gate can be implemented in a single pulse.
We propose an implementation of a universal set of one- and two-quantum-bit gates for quantum computation using the spin states of coupled single-electron quantum dots. Desired operations are effected by the gating of the tunneling barrier between neighboring dots. Several measures of the gate quality are computed within a recently derived spin master equation incorporating decoherence caused by a prototypical magnetic environment. Dot-array experiments that would provide an initial demonstration of the desired nonequilibrium spin dynamics are proposed.