Quantum logic gate is indispensable to quantum computation. One of the important qubit operations is the quantum controlled-not (CNOT) gate that performs a NOT operation on a target qubit depending on the state of the control qubit. In this paper we present a scheme to realize the quantum CNOT gate between two spatially separated atoms via shortcuts to adiabatic passage. The influence of various decoherence processes on the fidelity is discussed. The strict numerical simulation results show that the fidelity for the CNOT gate is relatively high.Quantum logic gate is indispensable to quantum computation. One of the important qubit operations is the quantum controlled-not (CNOT) gate that performs a NOT operation on a target qubit depending on the state of the control qubit. In this paper we present a scheme to realize the quantum CNOT gate between two spatially separated atoms via shortcuts to adiabatic passage. The influence of various decoherence processes on the fidelity is discussed. The strict numerical simulation results show that the fidelity for the CNOT gate is relatively high.

Optics ExpressSep 2, 201522 citations

Rydberg atoms based mesoscopic $\text{CNOT}^{\text{N}}$ gate using STIRAPRydberg atoms based mesoscopic $\text{CNOT}^{\text{N}}$ gate using STIRAP

Tanvi P. Gujarati

Schemes for implementation of CNOT gates in atomic ensembles are important for realization of quantum computing. Here, a theoretical scheme for a $\text{CNOT}^{\text{N}}$ gate implemented on a target ensemble of N, $\Lambda$ three-level Rydberg atoms and a single Rydberg atom as a control using Stimulated Raman Adiabatic Passage (STIRAP) is presented. We work in the Rydberg blockade regime for the ensemble atoms induced due to excitation of the control atom to a high lying Rydberg level. It is shown that using STIRAP, atoms from one ground state of the ensemble can be adiabatically transferred to the other ground state, depending on the state of the control atom, with high fidelity. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is provided. We show that the $\text{CNOT}^{\text{N}}$ process is immune to the decay rate of the excited level in ensemble atoms.Schemes for implementation of CNOT gates in atomic ensembles are important for realization of quantum computing. Here, a theoretical scheme for a $\text{CNOT}^{\text{N}}$ gate implemented on a target ensemble of N, $\Lambda$ three-level Rydberg atoms and a single Rydberg atom as a control using Stimulated Raman Adiabatic Passage (STIRAP) is presented. We work in the Rydberg blockade regime for the ensemble atoms induced due to excitation of the control atom to a high lying Rydberg level. It is shown that using STIRAP, atoms from one ground state of the ensemble can be adiabatically transferred to the other ground state, depending on the state of the control atom, with high fidelity. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is provided. We show that the $\text{CNOT}^{\text{N}}$ process is immune to the decay rate of the excited level in ensemble atoms.

Mar 7, 20180 citations

Adiabatic Quantum Computation

Catherine C. McGeoch

Synthesis lectures on quantum computingJan 1, 20147 citations

Adiabatic Quantum Computing

Bernard Zygelman

Undergraduate topics in computer scienceNov 5, 20240 citations

Correcting noisy quantum gates with shortcuts to adiabaticity

Moallison F. Cavalcante, Bariş Çakmak, Marcus V. S. Bonança +1 more

Unitary quantum gates constitute the building blocks of quantum computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT (CNOT) quantum gate. In practice, quantum gates have to be implemented in finite time, hence nonadiabatic and external noise effects debilitate gate fidelities. Here, we show that counterdiabatic control can restore gate performance with near perfect fidelities even in open quantum systems subject to decoherence.Unitary quantum gates constitute the building blocks of quantum computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT (CNOT) quantum gate. In practice, quantum gates have to be implemented in finite time, hence nonadiabatic and external noise effects debilitate gate fidelities. Here, we show that counterdiabatic control can restore gate performance with near perfect fidelities even in open quantum systems subject to decoherence.

Nov 25, 20250 citations

Rydberg atoms based mesoscopic

\text{CNOT}^{\text{N}}

gate using STIRAP

Schemes for implementation of CNOT gates in atomic ensembles are important for realization of quantum computing. Here, a theoretical scheme for a

\text{CNOT}^{\text{N}}

gate implemented on a target ensemble of N,

\Lambda

three-level Rydberg atoms and a single Rydberg atom as a control using Stimulated Raman Adiabatic Passage (STIRAP) is presented. We work in the Rydberg blockade regime for the ensemble atoms induced due to excitation of the control atom to a high lying Rydberg level. It is shown that using STIRAP, atoms from one ground state of the ensemble can be adiabatically transferred to the other ground state, depending on the state of the control atom, with high fidelity. A thorough analysis of adiabatic conditions for this scheme and the influence of radiative decay from the excited Rydberg levels is provided. We show that the

\text{CNOT}^{\text{N}}

process is immune to the decay rate of the excited level in ensemble atoms.