Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Experimental Realization of Single-shot Nonadiabatic Holonomic Gates in
  Nuclear Spins   Nonadiabatic holonomic quantum computation has received increasing attention
due to its robustness against control errors. However, all the previous schemes
have to use at least two sequentially implemented gates to realize a general
one-qubit gate. Based on two recent works, we construct two Hamiltonians and
experimentally realized nonadiabatic holonomic gates by a single-shot
implementation in a two-qubit nuclear magnetic resonance (NMR) system. Two
noncommuting one-qubit holonomic gates, rotating along $\hat{x}$ and $\hat{z}$
axes respectively, are implemented by evolving a work qubit and an ancillary
qubit nonadiabatically following a quantum circuit designed. Using a sequence
compiler developed for NMR quantum information processor, we optimize the whole
pulse sequence, minimizing the total error of the implementation. Finally, all
the nonadiabatic holonomic gates reach high unattenuated experimental
fidelities over $98\%$

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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex