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arXiv · 0906.5209

Quantum logic with weakly coupled qubits

Michael R. Geller·Emily J. Pritchett·Andrei Galiautdinov·John M. Martinis
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Abstract

There are well-known protocols for performing CNOT quantum logic with qubits coupled by particular high-symmetry (Ising or Heisenberg) interactions. However, many architectures being considered for quantum computation involve qubits or qubits and resonators coupled by more complicated and less symmetric interactions. Here we consider a widely applicable model of weakly but otherwise arbitrarily coupled two-level systems, and use quantum gate design techniques to derive a simple and intuitive CNOT construction. Useful variations and extensions of the solution are given for common special cases.

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Michael R. Geller, Emily J. Pritchett, Andrei Galiautdinov, John M. Martinis. 2009-06-29. Quantum logic with weakly coupled qubits. https://doi.org/10.1103/physreva.81.012320

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