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Generation of quantum logic operations from physical Hamiltonians

Jun Zhang·K. Birgitta Whaley
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Abstract

We provide a systematic analysis of the physical generation of single- and two-qubit quantum operations from Hamiltonians available in various quantum systems for scalable quantum information processing. We show that generation of one-qubit operations can be transformed into a steering problem on the Bloch sphere, whereas the two-qubit problem can be generally transformed into a steering problem in a tetrahedron representing all the local equivalence classes of two-qubit operations (the Weyl chamber). We use this approach to investigate several physical examples for the generation of two-qubit operations. The steering approach provides useful guidance for the realization of various quantum computation schemes.

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Jun Zhang, K. Birgitta Whaley. 2004-12-22. Generation of quantum logic operations from physical Hamiltonians. https://doi.org/10.1103/physreva.71.052317

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