Coupling the motional quantum states of spatially distant ions using a
conducting wire
- URL: http://arxiv.org/abs/2111.14957v1
- Date: Mon, 29 Nov 2021 21:06:12 GMT
- Title: Coupling the motional quantum states of spatially distant ions using a
conducting wire
- Authors: N. Van Horne and M. Mukherjee
- Abstract summary: Interfacing ion qubits in separate traps is among the challenges towards scaling up ion quantum computing.
This theoretical study focuses on using a conducting wire to couple the motional quantum states of ions in separate planar traps.
We find no barriers to exchanging quantum information between ion qubits in separate surface traps using a conducting wire.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: Interfacing ion qubits in separate traps is among the challenges towards
scaling up ion quantum computing. This theoretical study focuses on using a
conducting wire to couple the motional quantum states of ions in separate
planar traps. This approach of interfacing ion traps provides an alternative to
coupling distant qubits with lasers. We include the effects of
$1/f^{\tilde{\alpha}}$ (Anomalous) surface heating noise, using aggregate and
recent experimental findings as the basis for an analytical model of the
motional state decoherence time $t_{\mathrm{deco.}}$. Our optimized design for
the coupling system can be used to exchange quantum information with a time
$t_{\mathrm{ex.}}$ less than one tenth of the information decay time
$t_{\mathrm{deco.}}$. We derive a coefficient $\zeta$ which relates the
capacitances of each part of the coupling system and corrects an oversight
common to several previous works. Where possible, we calculate the classical
signal strength and classical noise strength, and use the criterion (classical)
signal-to-noise-ratio $\ge 10$ to further constrain design parameters. Ranges
for all parameters are discussed, and the ratio $t_{\mathrm{deco.}}
/t_{\mathrm{ex.}}$ and the signal-to-noise ratio for thermal noise are plotted
to assess specific parameter ranges for which transfer of quantum information
is possible. Although $1/f^{\tilde{\alpha}}$ surface noise significantly
constrains parameter ranges, we find no barriers to exchanging quantum
information between ion qubits in separate surface traps using a conducting
wire. Moreover, this should be possible using existing technologies and
materials, and singly-charged ions.
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