We study the realization of a Toffoli gate with superconducting qubits in a circuit-quantum-electrodynamics setup using quantum-control methods. Starting with optimized piecewise-constant control fields acting on all qubits and typical strengths of $XY$ -type coupling between the qubits, we demonstrate that the optimal gate fidelities are affected only slightly by a ``low-pass'' filtering of these fields with the typical cutoff frequencies of microwave driving. Restricting ourselves to the range of control-field amplitudes for which the leakage to the noncomputational states of a physical qubit is heavily suppressed, we theoretically predict that in the absence of decoherence and leakage, within 75 ns a Toffoli gate can be realized with intrinsic fidelities higher than $90%$ while fidelities above $99%$ can be reached in about 140 ns.We study the realization of a Toffoli gate with superconducting qubits in a circuit-quantum-electrodynamics setup using quantum-control methods. Starting with optimized piecewise-constant control fields acting on all qubits and typical strengths of $XY$-type coupling between the qubits, we demonstrate that the optimal gate fidelities are affected only slightly by a ``low-pass'' filtering of these fields with the typical cutoff frequencies of microwave driving. Restricting ourselves to the range of control-field amplitudes for which the leakage to the noncomputational states of a physical qubit is heavily suppressed, we theoretically predict that in the absence of decoherence and leakage, within 75 ns a Toffoli gate can be realized with intrinsic fidelities higher than $90%$ while fidelities above $99%$ can be reached in about 140 ns.

arXiv:1108.3442Physical Review BFeb 13, 201252 citations

Circuit Quantum Electrodynamics and Quantum Gates

Stephany Paola Vega Ortega

May 15, 20260 citations

Circuit Quantum Electrodynamics

Garay, Linda Bertel

Jan 1, 20250 citations

Realization of Toffoli Gate Based on Superconducting QuantumInterference Devices in Cavity Quantum Electrodynamics

彭俊 PENG Jun, 邬云文 WU Yunwen, 李小娟 LI Xiaojuan

A theory scheme was proposed for implementing a Toffoli gate with three-level structure superconducting quantum-interference devices(SQUID),based on the cavity quantum electrodynamics(CQED).In this proposal,quantum information was encoded into the two lower levels of a SQUID while a higher level serves as the gate manipulation.Applying the coupling of the cavity field with a SQUID,which was driven by a classical microwave pulse to control the evolution of quantum state,the scheme could be extended to achieve N-qubit Toffoli gate.And,the experimental feasibility of Toffoli gate was disscussed,and the total operation time of four-qubit Toffoli gate was computed only 30 nanometers,which was much shorter than the decay time of the cavity mode or the energy relaxation time of the higher level.And the increasing rate of the gate response time became slow with the increase of the qubit number.A theory scheme was proposed for implementing a Toffoli gate with three-level structure superconducting quantum-interference devices(SQUID),based on the cavity quantum electrodynamics(CQED).In this proposal,quantum information was encoded into the two lower levels of a SQUID while a higher level serves as the gate manipulation.Applying the coupling of the cavity field with a SQUID,which was driven by a classical microwave pulse to control the evolution of quantum state,the scheme could be extended to achieve N-qubit Toffoli gate.And,the experimental feasibility of Toffoli gate was disscussed,and the total operation time of four-qubit Toffoli gate was computed only 30 nanometers,which was much shorter than the decay time of the cavity mode or the energy relaxation time of the higher level.And the increasing rate of the gate response time became slow with the increase of the qubit number.

ACTA PHOTONICA SINICAJan 1, 20111 citation

Efficient scheme for implementing an N -qubit Toffoli gate by a single resonant interaction with cavity quantum electrodynamics

Xiao‐Qiang Shao, Ai‐Dong Zhu, Shou Zhang +2 more

A scheme for implementing a three-qubit Toffoli gate with atoms sent through a microwave cavity is proposed by choosing nonidentical coupling constants between the atoms and cavity. The scheme can be generalized to implement an $N$ -qubit Toffoli gate and the gating time does not change with an increase of the number of qubits.A scheme for implementing a three-qubit Toffoli gate with atoms sent through a microwave cavity is proposed by choosing nonidentical coupling constants between the atoms and cavity. The scheme can be generalized to implement an $N$-qubit Toffoli gate and the gating time does not change with an increase of the number of qubits.

Physical Review AMar 28, 200743 citations

Quantum Simulations with Circuit Quantum Electrodynamics

Guillermo Romero, E. Solano, Lucas Lamata

arXiv:1606.01755Quantum science and technologyJan 1, 20178 citations

XY

-type coupling between the qubits, we demonstrate that the optimal gate fidelities are affected only slightly by a ``low-pass'' filtering of these fields with the typical cutoff frequencies of microwave driving. Restricting ourselves to the range of control-field amplitudes for which the leakage to the noncomputational states of a physical qubit is heavily suppressed, we theoretically predict that in the absence of decoherence and leakage, within 75 ns a Toffoli gate can be realized with intrinsic fidelities higher than

90%

while fidelities above

99%

can be reached in about 140 ns.

N

-qubit Toffoli gate and the gating time does not change with an increase of the number of qubits.