Quantum measurement
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
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We show how the quantum Zeno effect can be exploited to control quantum many-bodydynamics for quantum information and computation purposes. In particular, we considera one dimensional array of three level systems interacting via a nearest-neighbourinteraction. By encoding the qubit on two levels and using simple projective frequentmeasurements yielding the quantum Zeno effect, we demonstrate how to implement awell defined quantum register, quantum state transfer on demand, universal two-qubitgates and two-qubit parity measurements. Thus, we argue that the main ingredientsfor universal quantum computation can be achieved in a spin chain with an always-onand constant many-body Hamiltonian. We also show some possible modifications of theinitially assumed dynamics in order to create maximally entangled qubit pairs and singlequbit gates.