Implementing quantum Fourier transform using three qubits
- URL: http://arxiv.org/abs/2110.15067v2
- Date: Mon, 3 Apr 2023 20:53:16 GMT
- Title: Implementing quantum Fourier transform using three qubits
- Authors: Mouhcine Yachi, Radouan Hab-arrih, Ahmed Jellal
- Abstract summary: We realize the quantum Fourier transform using the circulant symmetry of a Hamiltonian describing three qubits.
The realization will be leaned on trapped ions and the gate implementation requires an adiabatic transition from each spin product state to Fourier modes.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Using the circulant symmetry of a Hamiltonian describing three qubits, we
realize the quantum Fourier transform. This symmetry allows us to construct a
set of eigenvectors independently on the magnitude of physical parameters
involved in the Hamiltonian and as a result, the entanglement will be
maintained. The realization will be leaned on trapped ions and the gate
implementation requires an adiabatic transition from each spin product state to
Fourier modes. The fidelity was numerically calculated and the results show
important values. Finally, we discuss the acceleration of the gate by using the
counter-driving field.
Related papers
- Phase transitions, symmetries, and tunneling in Kerr parametric oscillators [37.69303106863453]
We study the onset of ground-state and excited-state quantum phase transitions in KPOs.<n>We identify the critical points associated with quantum phase transitions and analyze their influence on the energy spectrum and tunneling dynamics.<n>Our findings provide insights into the engineering of robust quantum states, quantum dynamics control, and onset of quantum phase transitions with implications for critical quantum sensing.
arXiv Detail & Related papers (2025-04-21T18:00:19Z) - Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
We use FNOs to model the evolution of random quantum spin systems.
We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
arXiv Detail & Related papers (2024-09-05T07:18:09Z) - Characterization of a Transmon Qubit in a 3D Cavity for Quantum Machine
Learning and Photon Counting [28.32051890758564]
We first describe the realization and characterization of a transmon qubit coupled to a 3D resonator.
We then report on a Quantum Machine Learning application implemented on the single-qubit device.
In the final section of the manuscript we present a new microwave photon detection scheme based on two qubits coupled to the same 3D resonator.
arXiv Detail & Related papers (2024-02-06T19:07:19Z) - Symmetric derivatives of parametrized quantum circuits [0.0]
We introduce the concept of projected derivatives of parametrized quantum circuits.
We show that the covariant derivative gives rise to the quantum Fisher information and quantum natural gradient.
arXiv Detail & Related papers (2023-12-11T19:00:00Z) - Third quantization of open quantum systems: new dissipative symmetries
and connections to phase-space and Keldysh field theory formulations [77.34726150561087]
We reformulate the technique of third quantization in a way that explicitly connects all three methods.
We first show that our formulation reveals a fundamental dissipative symmetry present in all quadratic bosonic or fermionic Lindbladians.
For bosons, we then show that the Wigner function and the characteristic function can be thought of as ''wavefunctions'' of the density matrix.
arXiv Detail & Related papers (2023-02-27T18:56:40Z) - Integral Transforms and $\mathcal{PT}$-symmetric Hamiltonians [0.0]
We study integral transforms in the case of $mathcalPT$-symmetric Hamiltonian.
Using the Segal-Bargmann transform, we investigate the effect of the Fourier transform on the eigenfunctions of the original Hamiltonian.
arXiv Detail & Related papers (2022-07-06T15:53:10Z) - Three-fold way of entanglement dynamics in monitored quantum circuits [68.8204255655161]
We investigate the measurement-induced entanglement transition in quantum circuits built upon Dyson's three circular ensembles.
We obtain insights into the interplay between the local entanglement generation by the gates and the entanglement reduction by the measurements.
arXiv Detail & Related papers (2022-01-28T17:21:15Z) - Realization of arbitrary doubly-controlled quantum phase gates [62.997667081978825]
We introduce a high-fidelity gate set inspired by a proposal for near-term quantum advantage in optimization problems.
By orchestrating coherent, multi-level control over three transmon qutrits, we synthesize a family of deterministic, continuous-angle quantum phase gates acting in the natural three-qubit computational basis.
arXiv Detail & Related papers (2021-08-03T17:49:09Z) - Intrinsic decoherence dynamics in the three-coupled harmonic oscillators
interaction [77.34726150561087]
We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form.
arXiv Detail & Related papers (2021-08-01T02:36:23Z) - One qubit as a Universal Approximant [0.0]
A single-qubit approximant can approximate any bounded complex function stored in the degrees of freedom defining its quantum gates.
This work shows the robustness of the re-uploading technique on Quantum Machine Learning.
arXiv Detail & Related papers (2021-02-08T07:10:31Z) - 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) - Measuring the tangle of three-qubit states [0.0]
We present a quantum circuit that transforms an unknown three-qubit state into its canonical form, up to relative phases, given many copies of the original state.
The circuit is made of three single-qubit parametrized quantum gates, and the optimal values for the parameters are learned in a variational fashion.
arXiv Detail & Related papers (2020-03-15T19:00:10Z) - Two-qubit quantum Fourier transform and entanglement protected by
circulant symmetry [0.0]
In ion traps one can obtain a Hamiltonian with the circulant symmetry by tuning the spin-spin interaction between the trapped ions.
We show that in ion traps one can obtain a Hamiltonian with the circulant symmetry by tuning the spin-spin interaction between the trapped ions.
arXiv Detail & Related papers (2020-01-27T11:13:11Z)
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.