Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a universal set of quantum gates \uniset\ that operate with high fidelity. The gates constituting \uniset\ are the Hadamard and NOT gates, together with variants of the phase, $\pi /8$ , and controlled-phase gates. The universality of \uniset\ is established by showing that it can construct the universal set consisting of Hadamard, phase, $\pi /8$ , and controlled-NOT gates. Sweep parameter values are provided which simulations indicate will produce the different gates in \uniset , and for which the gate error probability $P_{e}$ satisfies: (i)~ $P_{e}<10^{-4}$ for the one-qubit gates; and (ii)~ $P_{e}<1.27\times 10^{-3}$ for the modified controlled-phase gate. The sweeps in this class are non-composite and generate controllable quantum interference effects that allow the gates in \uniset\ to operate non-adiabatically while maintaining high fidelity. These interference effects have been observed using NMR, and it has previously been shown how these rapid passage sweeps can be applied to atomic systems using electric fields. Here we show how these sweeps can be applied to both superconducting charge and flux qubit systems. The simulations suggest that the universal set of gates \uniset\ produced by these rapid passage sweeps shows promise as possible elements of a fault-tolerant scheme for quantum computing.Numerical simulation results are presented which suggest that a class of non-adiabatic rapid passage sweeps first realized experimentally in 1991 should be capable of implementing a universal set of quantum gates \uniset\ that operate with high fidelity. The gates constituting \uniset\ are the Hadamard and NOT gates, together with variants of the phase, $\pi /8$, and controlled-phase gates. The universality of \uniset\ is established by showing that it can construct the universal set consisting of Hadamard, phase, $\pi /8$, and controlled-NOT gates. Sweep parameter values are provided which simulations indicate will produce the different gates in \uniset , and for which the gate error probability $P_{e}$ satisfies: (i)~$P_{e}<10^{-4}$ for the one-qubit gates; and (ii)~$P_{e}<1.27\times 10^{-3}$ for the modified controlled-phase gate. The sweeps in this class are non-composite and generate controllable quantum interference effects that allow the gates in \uniset\ to operate non-adiabatically while maintaining high fidelity. These interference effects have been observed using NMR, and it has previously been shown how these rapid passage sweeps can be applied to atomic systems using electric fields. Here we show how these sweeps can be applied to both superconducting charge and flux qubit systems. The simulations suggest that the universal set of gates \uniset\ produced by these rapid passage sweeps shows promise as possible elements of a fault-tolerant scheme for quantum computing.

arXiv:0802.3543Quantum Information and ComputationMar 1, 20096 citations

Robust High-Fidelity Universal Set of Quantum Gates Through Non-Adiabatic Rapid Passage

Ran Li, Frank Gaitan

We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the universal set is found to operate with a fidelity F in the range 0.99988 < F < 0.99999, and to require control parameters with no more than 14-bit (1 part in 10,000) precision. Such precision is within reach of commercially available arbitrary waveform generators, so that an experimental study of this approach to high-fidelity universal quantum control appears feasible.We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the universal set is found to operate with a fidelity F in the range 0.99988 < F < 0.99999, and to require control parameters with no more than 14-bit (1 part in 10,000) precision. Such precision is within reach of commercially available arbitrary waveform generators, so that an experimental study of this approach to high-fidelity universal quantum control appears feasible.

Aug 14, 20161 citation

Fast and high-fidelity quantum logic gates with superconducting circuits

Juan José García‐Ripoll, E. Torrontegui, Andrés Ruiz-Chamorro

Jul 15, 20190 citations

Fast, high-fidelity two-qubit entangling gates in superconducting multiqubit systems

Hsiang‐Sheng Ku, Junling Long, Russell E. Lake +3 more

Bulletin of the American Physical SocietyMar 7, 20180 citations

Robust high-fidelity universal set of quantum gates through non-adiabatic rapid passage

Ran Li, Frank Gaitan

We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the universal set is found to operate with a fidelity ℱ in the range 0.99988 < ℱ < 0.99999, and to require control parameters with no more than 14 bit (1 part in 104) precision. Such precision is within reach of commercially available arbitrary waveform generators, so that an experimental study of this approach to high-fidelity universal quantum control appears feasible.We show how a robust high-fidelity universal set of quantum gates can be implemented using a single form of non-adiabatic rapid passage whose parameters are optimized to maximize gate fidelity and reward gate robustness. Each gate in the universal set is found to operate with a fidelity ℱ in the range 0.99988 < ℱ < 0.99999, and to require control parameters with no more than 14 bit (1 part in 104) precision. Such precision is within reach of commercially available arbitrary waveform generators, so that an experimental study of this approach to high-fidelity universal quantum control appears feasible.

arXiv:1101.3579Journal of Modern OpticsJul 11, 20113 citations

\pi /8

, and controlled-phase gates. The universality of \uniset\ is established by showing that it can construct the universal set consisting of Hadamard, phase,

\pi /8

, and controlled-NOT gates. Sweep parameter values are provided which simulations indicate will produce the different gates in \uniset , and for which the gate error probability

P_{e}

satisfies: (i)~

P_{e}<10^{-4}

for the one-qubit gates; and (ii)~

P_{e}<1.27\times 10^{-3}

for the modified controlled-phase gate. The sweeps in this class are non-composite and generate controllable quantum interference effects that allow the gates in \uniset\ to operate non-adiabatically while maintaining high fidelity. These interference effects have been observed using NMR, and it has previously been shown how these rapid passage sweeps can be applied to atomic systems using electric fields. Here we show how these sweeps can be applied to both superconducting charge and flux qubit systems. The simulations suggest that the universal set of gates \uniset\ produced by these rapid passage sweeps shows promise as possible elements of a fault-tolerant scheme for quantum computing.