Implementing the fanout gate by a Hamiltonian

Details Implementing the fanout gate by a Hamiltonian Implementing the fanout gate by a Hamiltonian

2003-09-23

arxiv.org/abs/quant-ph/0309163v1

Physics

Quantum Physics

6 pages, 6 figures

Scientific paper

We show that, for even n, evolving n qubits according to a simple Hamiltonian can be used to exactly implement an (n+1)-qubit parity gate, which is equivalent in constant depth to an (n+1)-qubit fanout gate. We also observe that evolving the Hamiltonian for three qubits results in an inversion-on-three-way-equality gate, which together with single-qubit operations is universal for quantum computation.

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