Reverse engineering of one-qubit filter functions with dynamical invariants

• URL: http://arxiv.org/abs/2204.08457v2
• Date: Thu, 15 Sep 2022 18:00:00 GMT
• Title: Reverse engineering of one-qubit filter functions with dynamical invariants
• Authors: R. K. L. Colmenar and J. P. Kestner
• Abstract summary: We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost function which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We derive an integral expression for the filter-transfer function of an arbitrary one-qubit gate through the use of dynamical invariant theory and Hamiltonian reverse engineering. We use this result to define a cost function which can be efficiently optimized to produce one-qubit control pulses that are robust against specified frequency bands of the noise power spectral density. We demonstrate the utility of our result by generating optimal control pulses that are designed to suppress broadband detuning and pulse amplitude noise. We report an order of magnitude improvement in gate fidelity in comparison with known composite pulse sequences. More broadly, we also use the same theoretical framework to prove the robustness of nonadiabatic geometric quantum gates under specific error models and control constraints.

Related papers

• Energy control in a quantum oscillator using coherent control and engineered environment [83.88591755871734]
  We develop and analyze a new method for manipulation of energy in a quantum harmonic oscillator using coherent, electromagnetic, field and incoherent control. An approach to coherent and incoherent controls design based on the speed gradient algorithms is proposed. A robustified speed-gradient control algorithm in differential form is also proposed.
  arXiv  Detail & Related papers  (2024-03-25T20:44:46Z)
• Reinforcement learning pulses for transmon qubit entangling gates [0.0]
  We utilize a continuous-control reinforcement learning algorithm to design entangling two-qubit gates for superconducting qubits. We demonstrate the capability to generate novel pulse sequences that outperform the standard cross-resonance gates.
  arXiv  Detail & Related papers  (2023-11-07T03:19:19Z)
• Resource-efficient digital characterization and control of classical non-Gaussian noise [0.0]
  We show the usefulness of frame-based characterization and control [PRX Quantum 2, 030315 (2021)] for non-Markovian open quantum systems subject to classical non-Gaussian dephasing.
  arXiv  Detail & Related papers  (2023-04-07T17:05:03Z)
• Robustness of a universal gate set implementation in transmon systems via Chopped Random Basis optimal control [50.591267188664666]
  We numerically study the implementation of a universal two-qubit gate set, composed of CNOT, Hadamard, phase and $pi/8$ gates, for transmon-based systems. The control signals to implement such gates are obtained using the Chopped Random Basis optimal control technique, with a target gate infidelity of $10-2$.
  arXiv  Detail & Related papers  (2022-07-27T10:55:15Z)
• Optimally Band-Limited Noise Filtering for Single Qubit Gates [0.0]
  We introduce a quantum control protocol that produces smooth, experimentally implementable control sequences optimized to combat temporally correlated noise for single qubit systems. In particular, we identify regimes of optimal noise suppression and in turn, optimal control bandwidth directly proportional to the size of the frequency bands where the noise power is large.
  arXiv  Detail & Related papers  (2022-06-07T18:00:01Z)
• Quantum control of tunable-coupling transmons using dynamical invariants of motion [0.0]
  We analyse the implementation of a fast nonadiabatic CZ gate between two transmon qubits with tuneable coupling. The gate is based on a description of the resonance between the $|11rangle$ and $|20rangle$ using an effective Hamiltonian with the 6 lowest energy states.
  arXiv  Detail & Related papers  (2022-05-13T10:50:16Z)
• Decimation technique for open quantum systems: a case study with driven-dissipative bosonic chains [62.997667081978825]
  Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics. We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function. We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
  arXiv  Detail & Related papers  (2022-02-15T19:00:09Z)
• Accurate methods for the analysis of strong-drive effects in parametric gates [94.70553167084388]
  We show how to efficiently extract gate parameters using exact numerics and a perturbative analytical approach. We identify optimal regimes of operation for different types of gates including $i$SWAP, controlled-Z, and CNOT.
  arXiv  Detail & Related papers  (2021-07-06T02:02:54Z)
• Analytic Filter Function Derivatives for Quantum Optimal Control [0.0]
  We focus on the filter function formalism, which allows the computation of gate fidelities in the presence of auto-correlated noise. We present analytically derived filter function gradients with respect to control pulse amplitudes, and analyze the computational complexity of our results.
  arXiv  Detail & Related papers  (2021-03-16T15:13:58Z)
• Direct Optimal Control Approach to Laser-Driven Quantum Particle Dynamics [77.34726150561087]
  We propose direct optimal control as a robust and flexible alternative to indirect control theory. The method is illustrated for the case of laser-driven wavepacket dynamics in a bistable potential.
  arXiv  Detail & Related papers  (2020-10-08T07:59:29Z)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.