English

Efficient Two-Qubit Pulse Sequences Beyond CNOT

Quantum Physics 2020-09-28 v2 Mesoscale and Nanoscale Physics

Abstract

We design efficient controlled-rotation gates with arbitrary angle acting on three-spin encoded qubits for exchange-only quantum computation. Two pulse sequence constructions are given. The first is motivated by an analytic derivation of the efficient Fong-Wandzura sequence for an exact CNOT gate. This derivation, briefly reviewed here, is based on elevating short sequences of SWAP pulses to an entangling two-qubit gate. To go beyond CNOT, we apply a similar elevation to a modified short sequence consisting of SWAPs and one pulse of arbitrary duration. This results in two-qubit sequences that carry out controlled-rotation gates of arbitrary angle. The second construction streamlines a class of arbitrary CPHASE gates established earlier. Both constructions are based on building two-qubit sequences out of subsequences with special properties that render each step of the construction analytically tractable.

Keywords

Cite

@article{arxiv.2001.09341,
  title  = {Efficient Two-Qubit Pulse Sequences Beyond CNOT},
  author = {Daniel Zeuch and N. E. Bonesteel},
  journal= {arXiv preprint arXiv:2001.09341},
  year   = {2020}
}

Comments

20 pages, 13 figures, published version