Efficient Generation of a Maximally Entangled State by Repeated On- and Off-Resonant Scattering of Ancilla Qubits

Abstract

A scheme for preparing two fixed non-interacting qubits in a maximally entangled state is presented. By repeating on- and off-resonant scattering of ancilla qubits, the state of the target qubits is driven from an arbitrary initial state into the singlet state with probability 1 (perfect efficiency). Neither the preparation nor the post-selection of the ancilla spin state is required. The convergence from an arbitrary input state to the unique fixed point (mixing property) is proved rigorously, and its robustness is investigated, by scrutinizing the effects of imperfections in the incident wave of the ancilla, such as mistuning to a resonant momentum, imperfect monochromatization, and fluctuation of the incident momentum, as well as detector efficiency.

18 pages, 12 figures

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• Quasideterministic realization of a universal quantum gate in a single scattering process
• Implementing quantum gates through scattering between a static and a flying qubit
• Entanglement amplification via local weak measurements
• Physical model for the generation of ideal resources in multipartite quantum networking
• Robust Adaptive measurement for qubit state preparation
• Teleportation between distant qudits via scattering of mobile qubits
• Transmission based tomography for spin qubits
• Distillation by repeated measurements: continuous spectrum case
• Selective writing and read-out of a register of static qubits
• Entanglement-assisted tomography of a quantum target
• Using near-flat-band electrons for read-out of molecular spin qubit entangled states
• Sensitivity of Measurement-Based Purification Processes to Inner Interactions
• Interaction between hopping and static spins in a discrete network