Magnetic Noise from Metal Objects near Qubit Arrays

Abstract

All metal objects support fluctuating currents that are responsible for evanescent-wave Johnson noise in their vicinity due both to thermal and quantum effects. The noise fields can decohere qubits in their neighborhood. It is quantified by the average value of $B(x,t)B(x^{\prime },t^{\prime })$ and its time Fourier transform. We develop the formalism particularly for objects whose dimensions are small compared with the skin depth, which is the appropriate regime for nanoscale devices. This leads to a general and surprisingly simple formula for the noise correlation function of an object of arbitrary shape. This formula has a clear physical interpretation in terms of induced currents in the object. It can also be the basis for straightforward numerical evaluation. For a sphere, a solution is given in closed form in terms of a generalized multipole expansion. Plots of the solution illustrate the physical principles involved. We give examples of how the spatial pattern of noise can affect quantum information processing in nearby qubits. The theory implies that if the qubit system is miniaturized to a scale $D$, then decoherence rates of qubits scale as $1/D$.

arXiv comment12 pages, 8 figures

References in corpus (5)

• Nanoscale electrical conductivity imaging using a nitrogen-vacancy center in diamond
• Measurement of the Spin Relaxation Time of Single Electrons in a Silicon MOS-Based Quantum Dot
• Heating of trapped atoms near thermal surfaces
• Electron spin relaxation of single phosphorus donors in metal-oxide-semiconductor nanoscale devices
• Evanescent-wave Johnson Noise in small devices

Cited by in corpus (3)

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