Adaptive Bayesian algorithm for achieving desired quantum transition
- URL: http://arxiv.org/abs/2004.12674v5
- Date: Sat, 24 Apr 2021 11:52:38 GMT
- Title: Adaptive Bayesian algorithm for achieving desired quantum transition
- Authors: Chengyin Han, Jiahao Huang, Xunda Jiang, Ruihuan Fang, Yuxiang Qiu, Bo
Lu, Chaohong Lee
- Abstract summary: We propose an efficient scheme to search the suitable conditions for a desired quantum transition via an adaptive Bayesian algorithm.
We experimentally demonstrate it by using coherent population trapping in an ensemble of laser-cooled $87$Rb atoms.
This work provides a simple and efficient way to determine a transition frequency, which can be widely applied in the fields of precision spectroscopy.
- Score: 3.9056499137200054
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Bayesian methods which utilize Bayes' theorem to update the knowledge of
desired parameters after each measurement, are used in a wide range of quantum
science. For various applications in quantum science, efficiently and
accurately determining a quantum transition frequency is essential. However,
the exact relation between a desired transition frequency and the controllable
experimental parameters is usually absent. Here, we propose an efficient scheme
to search the suitable conditions for a desired quantum transition via an
adaptive Bayesian algorithm, and experimentally demonstrate it by using
coherent population trapping in an ensemble of laser-cooled $^{87}$Rb atoms.
The transition frequency is controlled by an external magnetic field, which can
be tuned in realtime by applying a d.c. voltage. Through an adaptive Bayesian
algorithm, the voltage can automatically converge to the desired one from a
random initial value only after few iterations. In particular, when the
relation between the target frequency and the applied voltage is nonlinear, our
algorithm shows significant advantages over traditional methods. This work
provides a simple and efficient way to determine a transition frequency, which
can be widely applied in the fields of precision spectroscopy, such as atomic
clocks, magnetometers, and nuclear magnetic resonance.
Related papers
- A quantum implementation of high-order power method for estimating geometric entanglement of pure states [39.58317527488534]
This work presents a quantum adaptation of the iterative higher-order power method for estimating the geometric measure of entanglement of multi-qubit pure states.
It is executable on current (hybrid) quantum hardware and does not depend on quantum memory.
We study the effect of noise on the algorithm using a simple theoretical model based on the standard depolarising channel.
arXiv Detail & Related papers (2024-05-29T14:40:24Z) - Monte Carlo Graph Search for Quantum Circuit Optimization [26.114550071165628]
This work proposes a quantum architecture search algorithm based on a Monte Carlo graph search and measures of importance sampling.
It is applicable to the optimization of gate order, both for discrete gates, as well as gates containing continuous variables.
arXiv Detail & Related papers (2023-07-14T14:01:25Z) - Continuous dynamical decoupling of optical $^{171}$Yb$^{+}$ qudits with
radiofrequency fields [45.04975285107723]
We experimentally achieve a gain in the efficiency of realizing quantum algorithms with qudits.
Our results are a step towards the realization of qudit-based algorithms using trapped ions.
arXiv Detail & Related papers (2023-05-10T11:52:12Z) - Online Convex Optimization of Programmable Quantum Computers to Simulate
Time-Varying Quantum Channels [26.888629265226264]
An arbitrary quantum channel cannot be exactly simulated using a finite-dimensional programmable quantum processor.
We study the challenging setting in which the channel to be simulated varies adversarially with time.
arXiv Detail & Related papers (2022-12-09T23:37:55Z) - Quantum Phase Processing and its Applications in Estimating Phase and
Entropies [10.8525801756287]
"quantum phase processing" can directly apply arbitrary trigonometric transformations to eigenphases of a unitary operator.
Quantum phase processing can extract the eigen-information of quantum systems by simply measuring the ancilla qubit.
We propose a new quantum phase estimation algorithm without quantum Fourier transform, which requires the fewest ancilla qubits and matches the best performance so far.
arXiv Detail & Related papers (2022-09-28T17:41:19Z) - Simulating the Mott transition on a noisy digital quantum computer via
Cartan-based fast-forwarding circuits [62.73367618671969]
Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model.
Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models.
This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
arXiv Detail & Related papers (2021-12-10T17:32:15Z) - Nearly optimal quantum algorithm for generating the ground state of a
free quantum field theory [0.0]
We devise a quasilinear quantum algorithm for generating an approximation for the ground state of a quantum field theory.
Our algorithm delivers a super-quadratic speedup over the state-of-the-art quantum algorithm for ground-state generation.
arXiv Detail & Related papers (2021-10-12T02:48:46Z) - Heisenberg-limited Frequency Estimation via Driving through Quantum
Phase Transitions [1.4985830312023636]
We propose a quantum Ramsey interferometry to realize high-precision frequency estimation in spin-1 Bose-Einstein condensate.
Our scheme does not require single-particle resolved detection and is within the reach of current experiment techniques.
arXiv Detail & Related papers (2021-08-30T11:28:16Z) - Bosonic field digitization for quantum computers [62.997667081978825]
We address the representation of lattice bosonic fields in a discretized field amplitude basis.
We develop methods to predict error scaling and present efficient qubit implementation strategies.
arXiv Detail & Related papers (2021-08-24T15:30:04Z) - Properties and Application of Gaussian Quantum Processes [0.0]
We show that generic coupler characterized by Gaussian unitary process can be transformed into a high-fidelity transducer.
We study the quantum noise theory for optical parameter sensing and its potential in providing great measurement precision enhancement.
All the analyses originated from the fundamental quantum commutation relations, and therefore are widely applicable.
arXiv Detail & Related papers (2021-07-03T18:01:34Z) - Measuring Analytic Gradients of General Quantum Evolution with the
Stochastic Parameter Shift Rule [0.0]
We study the problem of estimating the gradient of the function to be optimized directly from quantum measurements.
We derive a mathematically exact formula that provides an algorithm for estimating the gradient of any multi-qubit parametric quantum evolution.
Our algorithm continues to work, although with some approximations, even when all the available quantum gates are noisy.
arXiv Detail & Related papers (2020-05-20T18:24:11Z)
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.