Abstract
We design and analyze a logical qubit composed of a linear array of electron spins in semiconductor quantum dots. To avoid the difficulty of fully controlling a two-dimensional array of dots, we adapt spin control and error correction to a one-dimensional line of silicon quantum dots. Control speed and efficiency are maintained via a scheme in which electron spin states are controlled globally using broadband microwave pulses for magnetic resonance while two-qubit gates are provided by local electrical control of the exchange interaction between neighboring dots. Error correction with two-, three-, and four-qubit codes is adapted to a linear chain of qubits with nearest-neighbor gates. We estimate an error correction threshold of 1e-4. Furthermore, we describe a sequence of experiments to validate the methods on near-term devices starting from four coupled dots.
Highlights
Proposals for quantum-computing hardware and quantum error correction present compelling visions for quantuminformation processors [1,2,3,4,5,6,7,8,9,10,11,12,13]
We design a logical qubit consisting of a linear array of quantum dots, we analyze error correction for this linear architecture, and we propose a sequence of experiments to demonstrate components of the logical qubit on near-term devices
We focus here on quantum dots formed in silicon metal-oxidesemiconductor (SiMOS) structures, but we address issues relevant to an implementation of the scheme using quantum dots formed in silicon-germanium and galliumarsenide heterostructures
Summary
Proposals for quantum-computing hardware and quantum error correction present compelling visions for quantuminformation processors [1,2,3,4,5,6,7,8,9,10,11,12,13]. This paper proposes an experimentally realizable logical qubit in quantum dots using recently demonstrated control of single-electron spins. The simplicity of the control scheme is favorable for producing multiple-dot devices, and we show how to adapt simple error correction such as repetition codes to this hardware. The scope of this paper is a proposal to design and test the simplest logical qubit in a linear array of silicon quantum dots. The proposed quantum-dot platform limits the set of control instructions to favor simplicity in the hardware, but the error correction must adapt to this restrictive control. This experimental path provides milestones towards a logical qubit, and the measured performance of the building blocks can be used to predict performance of a logical qubit
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