Optical reconstruction of collective density matrix of qutrit
- URL: http://arxiv.org/abs/2107.03923v3
- Date: Mon, 5 Sep 2022 12:39:32 GMT
- Title: Optical reconstruction of collective density matrix of qutrit
- Authors: Marek Kopciuch and Szymon Pustelny
- Abstract summary: Reconstruction of a quantum state is of prime importance for quantum-information science.
We present a method of reconstruction of a collective density matrix of an atomic ensemble, consisting of atoms with an $F=1$ ground state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-nd/4.0/
- Abstract: Reconstruction of a quantum state is of prime importance for
quantum-information science. Specifically, means of efficient determination of
a state of atoms of room-temperature vapor may enable applications in quantum
computations and cryptography. To step toward such applications, here we
present a method of reconstruction of a collective density matrix of an atomic
ensemble, consisting of atoms with an $F=1$ ground state. Such a long-lived
state is often encountered in real systems (e.g., potassium, sodium, rubidium)
and hence may be practically utilized. Our theoretical treatment enables
derivation of explicit formulas relating optical signals (polarization rotation
and ellipticity change) with specific density-matrix elements. The analysis are
supported with numerical simulations, which allows to evaluate fidelity and
robustness of the algorithm. The tests show that our algorithm allows to obtain
the fidelity exceeded 0.95 even at noisy environment and/or significant atomic
manipulation imperfections.
Related papers
- Highly Accurate Real-space Electron Densities with Neural Networks [7.176850154835262]
We introduce a novel method to obtain accurate densities from real-space many-electron wave functions.
We use variational quantum Monte Carlo with deep-learning ans"atze (deep QMC) to obtain highly accurate wave functions free of basis set errors.
arXiv Detail & Related papers (2024-09-02T14:56:22Z) - Neutron-nucleus dynamics simulations for quantum computers [49.369935809497214]
We develop a novel quantum algorithm for neutron-nucleus simulations with general potentials.
It provides acceptable bound-state energies even in the presence of noise, through the noise-resilient training method.
We introduce a new commutativity scheme called distance-grouped commutativity (DGC) and compare its performance with the well-known qubit-commutativity scheme.
arXiv Detail & Related papers (2024-02-22T16:33:48Z) - Implementation of the Density-functional Theory on Quantum Computers
with Linear Scaling with respect to the Number of Atoms [1.4502611532302039]
Density-functional theory (DFT) has revolutionized computer simulations in chemistry and material science.
A faithful implementation of the theory requires self-consistent calculations.
This article presents a quantum algorithm that has a linear scaling with respect to the number of atoms.
arXiv Detail & Related papers (2023-07-13T21:17:58Z) - A hybrid quantum-classical algorithm for multichannel quantum scattering
of atoms and molecules [62.997667081978825]
We propose a hybrid quantum-classical algorithm for solving the Schr"odinger equation for atomic and molecular collisions.
The algorithm is based on the $S$-matrix version of the Kohn variational principle, which computes the fundamental scattering $S$-matrix.
We show how the algorithm could be scaled up to simulate collisions of large polyatomic molecules.
arXiv Detail & Related papers (2023-04-12T18:10:47Z) - Calculating the many-body density of states on a digital quantum
computer [58.720142291102135]
We implement a quantum algorithm to perform an estimation of the density of states on a digital quantum computer.
We use our algorithm to estimate the density of states of a non-integrable Hamiltonian on the Quantinuum H1-1 trapped ion chip for a controlled register of 18bits.
arXiv Detail & Related papers (2023-03-23T17:46:28Z) - Probing finite-temperature observables in quantum simulators of spin
systems with short-time dynamics [62.997667081978825]
We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality.
We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
arXiv Detail & Related papers (2022-06-03T18:00:02Z) - Numerical Simulations of Noisy Quantum Circuits for Computational
Chemistry [51.827942608832025]
Near-term quantum computers can calculate the ground-state properties of small molecules.
We show how the structure of the computational ansatz as well as the errors induced by device noise affect the calculation.
arXiv Detail & Related papers (2021-12-31T16:33:10Z) - Spectral density reconstruction with Chebyshev polynomials [77.34726150561087]
We show how to perform controllable reconstructions of a finite energy resolution with rigorous error estimates.
This paves the way for future applications in nuclear and condensed matter physics.
arXiv Detail & Related papers (2021-10-05T15:16:13Z) - Entanglement Hamiltonian Tomography in Quantum Simulation [0.0]
Entanglement in quantum simulators is an outstanding challenge in today's era of intermediate scale quantum devices.
Here we discuss an efficient tomographic protocol for reconstructing reduced density matrices and entanglement spectra for spin systems.
We show the validity and efficiency of the protocol for a long-range Ising model in 1D using numerical simulations.
arXiv Detail & Related papers (2020-09-18T18:12:22Z) - Recovering quantum correlations in optical lattices from interaction
quenches [0.0]
Quantum simulations with ultra-cold atoms in optical lattices open up an exciting path towards understanding strongly interacting quantum systems.
Currently a direct measurement of local coherent currents is out of reach.
We show how to achieve that by measuring densities that are altered in response to quenches to non-interacting dynamics.
arXiv Detail & Related papers (2020-05-18T18:03:33Z)
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.