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Laser Physics Letters

Efficient implementation of complete and nondestructive Bell-state measurement for trapped ions with reverse engineering

Yu Ning, Yi‐Hao Kang, Zhi‐Cheng Shi, Jie Song, Yan Xia

Published Nov 18, 2020• 6 citations
Publisher

Abstract

Abstract In this paper, we put forward a protocol for the complete and nondestructive Bell-state measurement of trapped ions. We show that the four different Bell states of two information carriers can be distinguished using two auxiliary ions with the initial Bell states unchanged after the procedures. The parameter selections are discussed based on the experimentally available parameters, and the robustness against the errors and decoherence are analyzed. The results show that the protocol works well with the selected parameters, and possesses robustness against errors and decoherence. Since the laser pulses to drive the transitions of ions in the procedures are designed via reverse engineering, the control parameters can be flexibly selected under certain boundary conditions, which provides the possibility to find corrective parameters to compensate the errors caused by the decoherence. We hope the protocol can be useful for the Bell-state based quantum information tasks.

DOI
10.1088/1612-202x/abc32d

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We propose a protocol for complete Bell-state analysis for two superconducting-quantum-interference-device qubits. The Bell-state analysis could be completed by using a sequence of microwave pulses designed by the transitionless tracking algorithm, which is a useful method in the technique of shortcut to adiabaticity. After the whole process, the information for distinguishing four Bell states will be encoded on two auxiliary qubits, while the Bell states remain unchanged. One can read out the information by detecting the auxiliary qubits. Thus the Bell-state analysis is nondestructive. The numerical simulations show that the protocol possesses a high success probability of distinguishing each Bell state with current experimental technology even when decoherence is taken into account. Thus, the protocol may have potential applications for the information readout in quantum communications and quantum computations in superconducting quantum networks.
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We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.
We present a method for the deterministic generation of all the electronic Bell states of two trapped ions. It involves the combination of a purely dispersive with a resonant laser excitation of vibronic transitions of the ions. In contrast to other methods presented up to now, our proposal does not require differential laser addressing of the individual ions and may be easily implemented with present available techniques. It is further shown that this excitation scheme is highly adequate for the complete determination of the motional state of the ions.
The efficiency of a Bell-state measurement on photon pairs is bound to 50% due to the number of Bell states that can be distinguished using linear optics. Here we present the implementation of a protocol that allows us to distinguish all four Bell states by the use of a single-ion quantum memory and heralded absorption as state-selective measurement. The protocol is implemented in two steps. First we demonstrate the state-preserving mapping of a photonic qubit onto the quantum memory, verified by the preservation of entanglement in the process. Then we demonstrate the full Bell-state projection between a memory qubit and an incoming photonic qubit, by applying it for atom-to-photon quantum-state teleportation. Published by the American Physical Society 2024