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Physica Scripta

Quantum state transfer, quantum memory, and quantum networks based on multi-photon processes in cavity QED

Moteb M. Alqahtani, Ghayda AlWaleed Abushawarib, B. M. Garraway

Published Dec 1, 2025• 0 citations
Publisher

Abstract

Abstract A method is presented for transfer of a quantum state from one atom to another atom. In this method, we consider the interaction of a multi-mode cavity with a multi-level quantum system and adopt the multi-photon resonance theory for preparing an efficient quantum memory and a quantum network. From the use of effective two- and three-level Hamiltonians, the proper values for interaction times, coupling constants, and detunings are predicted. To examine the sensitivity of the quantum state transfer against decoherence processes, we introduce the quantum-jump approach. Proceeding with this approach leads to a description of the system via wavefunctions instead of density operators and provides simple effective differential equations for obtaining analytic expressions of the probability amplitudes.

DOI
10.1088/1402-4896/ae2ddb

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Abstract A method is presented for transfer of a quantum state from one atom to another atom. In this method, we consider the interaction of a multi-mode cavity with a multi-level quantum system and adopt the multi-photon resonance theory for preparing an efficient quantum memory and a quantum network. From the use of effective two- and three-level Hamiltonians, the proper values for interaction times, coupling constants, and detunings are predicted. To examine the sensitivity of the quantum state transfer against decoherence processes, we introduce the quantum-jump approach. Proceeding with this approach leads to a description of the system via wavefunctions instead of density operators and provides simple effective differential equations for obtaining analytic expressions of the probability amplitudes.
An alternative scheme is proposed to transfer quantum states and prepare a quantum network in cavity QED. It is based on the interaction of a two-mode cavity field with a three-level ∨-type atom. In the scheme, the atom-cavity field interaction is resonant, thus the time required to complete the quantum state transfer process is greatly shortened, which is very important in view of decoherence. Moreover, the present scheme does not require one mode of the cavities to be initially prepared in one-photon state, thus it is more experimentally feasible than the previous ones.
We present a protocol for transfer of an unknown quantum state. The protocol is based on a two-mode cavity interacting dispersively in a sequential manner with three-level atoms in the $\ensuremath{\Lambda}$ configuration. We propose a scheme for quantum networking using an atomic channel. We investigate the effect of cavity decoherence in the entire process. Further, we demonstrate the possibility of an efficient quantum memory for arbitrary superposition of two modes of a cavity containing one photon.
An alternative scheme is proposed to transfer quantum states and prepare a quantum network in cavityQED.It is based on the interaction of a two-mode cavity field with a three-level V-type atom.In the scheme,the atom-cavity field interaction is resonant,thus the time required to complete the quantum state transfer process is greatly shortened,which is very important in view of decoherence.Moreover,the present scheme does not require one mode of the cavities to be initially prepared in one-photon state,thus it is more experimentally feasible than the previous ones.
In this paper we propose a scheme for transferring quantum states and preparing quantum networks. Compared with the previous schemes, this scheme is more efficient, since three or four-dimensional quantum states can be transferred with a single step and information interchange of three-dimensional quantum states can be realized, which is a significant improvement. It is based on the resonant interaction of a three-mode cavity field with an atom. As a consequence, the interaction time is shortened greatly. Furthermore, we give some discussions about the feasibility of the scheme.
Based on a multi-mode multi-level Jaynes-Cummings model and multi-photon resonance theory, a set of universal two-qubit and three-qubit gates has been realized where dual-rail qubits are encoded in cavities. In this way, the information has been stored in cavities and the off-resonant levels have been eliminated by the theory of an effective two-level Hamiltonian. A further model, namely the spin-J model, has been introduced so that a complete population inversion for levels of interest has been achieved and periodic multilevel multi-photon models have been performed. The combination of the two models has been employed to address two-level, three-level, four-level, and even five-level configurations. Considering the present cavity-QED experiments, several numerical simulations have been designed in order to check the robustness of the logic gates to variations in experimentally important parameters including the coupling constants and the detunings. Finally, based on Liouville's equation, and the wave-function treatments, the impact of decoherence processes on the fidelity of the qubit states in the iSWAP and the Fredkin gates has been studied. This thesis may have applications to quantum information processing, involving logic with simple quantum bits, with the possible application to the building of a quantum computer.
Abstract Based on a cavity QED framework, we theoretically describe a universal set of logic gates which are implemented by passing a multi-level atom initially in its ground state through a multi-mode cavity. The qubits are encoded on the cavity modes and the atom plays the role of an ancilla which will not be entangled with the final result of a gate operation. We apply the multiphoton resonance theory of Shore to develop effective two- and three-level Hamiltonians, so that the proper values for detunings, coupling coefficients, and interaction times for gate operations can be determined. This enables us to examine a faster iSWAP gate than our previous study and to examine numerically the effects of decoherence on both the iSWAP gate and our previously presented Fredkin gate which used the same multi-mode approach. We also present results that show how conditional measurements of the ancilla atom can improve gate fidelities in these cases.