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arXiv:2609.32845

Generation of arbitrary quantum states in cavity-atom systems with a three-level ancilla

Da-Wei Luo, Ting Yu

quant-phSubmitted Sep 26, 2026• Announced Sep 29, 2026• 0 citations
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Abstract

We generalized the seminal work of Law & Eberly, and propose a protocol to generate arbitrary quantum states with a three-level atom as an ancilla in a more efficient manner. This protocol moves two excitations in parallel in each control step, thus reducing the number of evolution steps by half. Full analytical expressions for the control field strengths and timings are derived. The system dynamics is exposed to less chance of error accumulation in the timing and amplitudes of the control fields, and quantitative study in the context of the quantum speed limit is also considered.

Comments
14 pages, 6 figures

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Abstract We propose an efficient scheme to generate maximally entangled states between two three-level atoms in multi-cavity systems via shortcuts to the adiabatic technique. Two atoms are trapped in spatially separated cavities which are linked through direct coupling and optical fiber coupling, respectively. Time-dependent lasers which are tactfully designed radiate the atoms to drive the evolution rapidly. A determinate analysis solution for this distributed maximally entangled state is achieved by controlling the detuning between the cavity mode and laser fields. Numerical simulations show that the shortcut scheme permits the decoherence which arises from the noisy environment and spontaneous emission to some extent. Meanwhile, the scheme tolerates the imprecision of the experimental parameters, such as evolution time, laser parameters and so on. Our research provided a fast, analytical and feasible technology in non-locality quantum entanglement preparation in quantum electronic dynamics.
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We consider a two-mode entangled coherent light field, in which one mode of the light field is injected into the cavity and interacts with a two-level atom. According to the theory of cavity electrodynamics, the evolution state of atomic system is deduced. Aiming at the dynamic process from the initial state of an atomic system to the target evolution state, the quantum speed limit time is used to characterize the maximum evolution rate of the quantum state of an atomic system. The maximum evolution rate of an atomic system can be controlled by adjusting the coherent parameters of the two-mode entangled coherent light field. But up to now, which kind of quantum speed limit time can be better, universal and strict applicable to the quantum dynamics process of any system is still an unresolved important issue. Based on different methods of measuring the distance between two quantum states and different dynamic evolution channels, many definitions of the quantum speed limit time have been given. The quantum speed limit time proposed by Deffner and Lutz (Deffner S, Lutz E 2013 Phys. Rev. Lett. 111 010402) and the other deduced by Campaioli et al. (Campaioli F, Pollock F A, Binder F C, Modi K 2018 Phys. Rev. Lett. 120 060409; Campaioli F, Pollock F A, Modi K 2018 arXiv:1806.08742) have attracted extensive attention. In this paper, we first compare the advantages of two quantum speed limit times to characterize the maximum evolution rate of quantum states. We find that the quantum speed limit time expression given by Campaioli et al. (Campaioli F, Pollock F A, Modi K 2018 arXiv:1806.08742) in 2018 is a tighter bound when describing the boundary of the shortest time required for the quantum state evolution of a two-level atomic system. Therefore, this paper is mainly based on the quantum speed limit time given by Campaioli et al. to analyze how to achieve the maximum evolution rate of the quantum state of the atomic system by manipulating the parameters of a two-level entangled coherent light field. The results show that the maximum evolution speed of the quantum state of the atomic system can be significantly affected by the coherent parameters of the light field interacting with the atom under certain conditions. Furthermore, when the interacting light field parameters cannot well control the maximum evolution speed of the quantum state, the quantum correlation with the two-mode entangled coherent light field can realize the remote control of the maximum evolution speed of quantum state of atomic system by the light field parameters that are not involved in the atom-light interaction.