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Journal of Contemporary Physics (Armenian Academy of Sciences)

Realization of the Programmable Logical Atomic Gate

Artur Aleksanyan, E. A. Gazazyan

Published Jul 1, 2018• 8 citations
Publisher

Abstract

The simple realization of a three-bit programmable atomic gate on a five-level atom is demonstrated. The proposed scheme is based on an adiabatic transfer of the populations of atomic levels in the M-system. A detailed analysis of the numerical solution of nonstationary equations for the density matrix of the five-level system is carried out.

DOI
10.3103/s1068337218030040

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The simple realization of a three-bit programmable atomic gate on a five-level atom is demonstrated. The proposed scheme is based on an adiabatic transfer of the populations of atomic levels in the M-system. A detailed analysis of the numerical solution of nonstationary equations for the density matrix of the five-level system is carried out.
Abstract We propose a scheme for a programmable quantum motherboard based on a system of three interacting high-Q resonators coupled with two-level atoms. By using algebraic methods, we found that the investigated atomic-resonator platform can possess an equidistant spectrum of eigenfrequencies at which the simple reversible dynamics of single photon excitation becomes possible. It was shown that such a multiresonator quantum motherboard scheme allows us to achieve an efficient and programmable quantum state transfer between distributed atoms and generate logical qubits and qutrits. The use of the studied circuit in quantum processing is proposed.
The Toffoli gate is an essential logic element, which permits implementation of a reversible processor. It is of relevance both for classical as well as quantum logics. We propose and theoretically study all-optical implementations of three-bit and four-bit Toffoli gates by application of adiabatic population transfer techniques. For a three-bit Toffoli gate we use variants of stimulated Raman adiabatic passage (STIRAP) processes in a ΛΛΛ-type level scheme, driven by two laser pulses at sufficiently large detunings. For the implementation of a four-bit Toffoli gate, we apply reversible adiabatic population transfer in five-level quantum systems, interacting with three laser pulses. We demonstrate correct all-optical implementation of the truth table of three-bit and four-bit Toffoli gates. Moreover, we derive conditions for adiabatic evolution of the population dynamics and robust operation of the gates.
一个很简单的理论计划被建议仅仅用在梯子类型之间的一个单个反响的相互作用第一实现 two-qubit 和 three-qubit 控制阶段门三水平的原子和单个模式的洞。在介绍协议，量信息在原子的稳定的地面状态上被编码(作为控制 qubits ) 并且零光子并且洞地的一个光子 Fock 状态(作为目标 qubit ) 。在原子自发的排放，洞模式的腐烂，和联合力量的偏差的影响下面， three-qubit 控制阶段门可以有一比较地高保真度。被扩大认识到 N-qubit 控制阶段门也被讨论的控制阶段门和盒子的试验性的可行性。