Natural two-qubit gate for quantum computation using the XY interaction

By Norbert Schuch, Jens Siewert. 2002

195 citations recorded by the source corpus.

The two-qubit interaction Hamiltonian of a given physical implementation determines whether or not a two-qubit gate such as the controlled-NOT (CNOT) gate can be realized easily. It can be shown that, e.g., with the $\mathrm{XY}$ interaction more than one two-qubit operation is required in order to realize the CNOT operation. Here we propose a two-qubit gate for the $\mathrm{XY}$ interaction which combines the CNOT and SWAP operations. By using this gate quantum circuits can be implemented efficiently, even if only nearest-neighbor coupling between the qubits is available.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/6bbfecf8c16a3053fefc531f4830a4874563e6d6

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Artificial Intelligence

1. Shannon Whitlock
2. Nikolas A. Tezak
3. Michael J. Curtis
4. William J. Zeng
5. M. Morgado

In Atomic and Molecular Physics, and Optics

1. Shannon Whitlock
2. Michael J. Curtis
3. William J. Zeng
4. M. Morgado

Citations in the corpus

• Process Tomography of Quantum Memory in a Josephson Phase Qubit (2008, unknown): “( S /2) ( σ x σ x + σ y σ y ) , so that the first minimum at 12 ns corresponds to an iSWAP gat”
• Quantum simulation and computing with Rydberg-interacting qubits (2020, background): “XY gate family (gg-qubits or rr-qubits) A final type of gate which can be naturally implemented with Rydberg qubits is the XY family of gates 181–183 .”
• Parametrically Activated Entangling Gates Using Transmon Qubits (2017, methodology): “However, the iSWAP is locally equivalent to a CNOT followed by the interchange of the qubit labels [27].”