Limits...
One-step resonant controlled-phase gate on distant transmon qutrits in different 1D superconducting resonators.

Hua M, Tao MJ, Deng FG, Lu Long G - Sci Rep (2015)

Bottom Line: The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns.As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits.The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China.

ABSTRACT
We propose a scheme to construct the controlled-phase (c-phase) gate on distant transmon qutrits hosted in different resonators inter-coupled by a connected transmon qutrit. Different from previous works for entanglement generation and information transfer on two distant qubits in a dispersive regime in the similar systems, our gate is constructed in the resonant regime with one step. The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns. As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits. The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.

No MeSH data available.


The fidelity of a cell in the surface code layout with our c-phase gate on an initial maximally entangled state of the system composed of q1 and q2, , shown with the blue dash-dotted line.For comparison, the fidelity of our c-phase gate on the same initial state  is given with the red solid line.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
getmorefigures.php?uid=PMC4613593&req=5

f4: The fidelity of a cell in the surface code layout with our c-phase gate on an initial maximally entangled state of the system composed of q1 and q2, , shown with the blue dash-dotted line.For comparison, the fidelity of our c-phase gate on the same initial state is given with the red solid line.

Mentions: The fidelities of both a cell and our c-phase gate on the given initial states change with the time t, shown in Fig. 4 in which we do not consider the decay and the energy relaxation rates of the resonators and the qutrits. One can see that the fidelity of a cell composed of our gate and three additional resonators on the given initial state decreases just a little, compared to that of our c-phase gate. Besides, small coupling strengths of DTQs, a tunable range of 2.5 GHz of a transmon qubit86, and a tunable range of 500 MHz within 1 ns87 of 1D superconducting resonator allow us to maintain the states of the idle qutrits. That is, our c-phase gate works effectively in the construction of the SC layout for fault-tolerant quantum computing.


One-step resonant controlled-phase gate on distant transmon qutrits in different 1D superconducting resonators.

Hua M, Tao MJ, Deng FG, Lu Long G - Sci Rep (2015)

The fidelity of a cell in the surface code layout with our c-phase gate on an initial maximally entangled state of the system composed of q1 and q2, , shown with the blue dash-dotted line.For comparison, the fidelity of our c-phase gate on the same initial state  is given with the red solid line.
© Copyright Policy - open-access
Related In: Results  -  Collection

License
Show All Figures
getmorefigures.php?uid=PMC4613593&req=5

f4: The fidelity of a cell in the surface code layout with our c-phase gate on an initial maximally entangled state of the system composed of q1 and q2, , shown with the blue dash-dotted line.For comparison, the fidelity of our c-phase gate on the same initial state is given with the red solid line.
Mentions: The fidelities of both a cell and our c-phase gate on the given initial states change with the time t, shown in Fig. 4 in which we do not consider the decay and the energy relaxation rates of the resonators and the qutrits. One can see that the fidelity of a cell composed of our gate and three additional resonators on the given initial state decreases just a little, compared to that of our c-phase gate. Besides, small coupling strengths of DTQs, a tunable range of 2.5 GHz of a transmon qubit86, and a tunable range of 500 MHz within 1 ns87 of 1D superconducting resonator allow us to maintain the states of the idle qutrits. That is, our c-phase gate works effectively in the construction of the SC layout for fault-tolerant quantum computing.

Bottom Line: The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns.As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits.The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.

View Article: PubMed Central - PubMed

Affiliation: State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China.

ABSTRACT
We propose a scheme to construct the controlled-phase (c-phase) gate on distant transmon qutrits hosted in different resonators inter-coupled by a connected transmon qutrit. Different from previous works for entanglement generation and information transfer on two distant qubits in a dispersive regime in the similar systems, our gate is constructed in the resonant regime with one step. The numerical simulation shows that the fidelity of our c-phase gate is 99.5% within 86.3 ns. As an interesting application of our c-phase gate, we propose an effective scheme to complete a conventional square lattice of two-dimensional surface code layout for fault-tolerant quantum computing on the distant transmon qutrits. The four-step coupling between the nearest distant transmon qutrits, small coupling strengths of the distant transmon qutrits, and the non-population on the connection transmon qutrit can reduce the interactions among different parts of the layout effectively, which makes the layout be integrated with a large scale in an easier way.

No MeSH data available.