Efficient Two-Qubit Pulse Sequences Beyond CNOT

• URL: http://arxiv.org/abs/2001.09341v2
• Date: Tue, 22 Sep 2020 14:50:36 GMT
• Title: Efficient Two-Qubit Pulse Sequences Beyond CNOT
• Authors: Daniel Zeuch and N. E. Bonesteel
• Abstract summary: We design efficient controlled-rotation gates with arbitrary angle acting on three-spin encoded qubits for exchange-only quantum computation. We build two-qubit sequences out of subsequences with special properties that render each step of the construction analytically tractable.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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