Measuring the tangle of three-qubit states
- URL: http://arxiv.org/abs/2003.06895v3
- Date: Thu, 4 Jun 2020 13:49:32 GMT
- Title: Measuring the tangle of three-qubit states
- Authors: Adri\'an P\'erez-Salinas, Diego Garc\'ia-Mart\'in, Carlos
Bravo-Prieto, Jos\'e I. Latorre
- Abstract summary: 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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: 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. Once this transformation is achieved, direct measurement of outcome
probabilities in the computational basis provides an estimate of the tangle,
which quantifies genuine tripartite entanglement. We perform simulations on a
set of random states under different noise conditions to asses the validity of
the method.
Related papers
- Cost of Locally Approximating High-Dimensional Ground States of Contextual Quantum Models [1.5844265436419382]
Contextuality, one of the strongest forms of quantum correlations, delineates the quantum world and the classical one.
Some quantum models, in the form of infinite one-dimensional translation-invariant Hamiltonians, have the lowest ground state energy density allowed in quantum physics.
We develop a universal set of permutation-symmetry preserving qubit-based gates, using them as an ansatz to simulate parameterized quantum circuits designed for qutrits.
arXiv Detail & Related papers (2024-05-08T08:35:31Z) - Measurement-Induced Transmon Ionization [69.65384453064829]
We develop a comprehensive framework which provides a physical picture of the origin of transmon ionization.
This framework identifies the multiphoton resonances responsible for transmon ionization.
It also allows one to efficiently compute numerical estimates of the photon number threshold for ionization.
arXiv Detail & Related papers (2024-02-09T18:46:50Z) - Variational quantum metrology for multiparameter estimation under
dephasing noise [0.8594140167290099]
We present a hybrid quantum-classical variational scheme to enhance precision in quantum metrology.
We discuss specific applications to 3D magnetic field sensing under several dephasing noise modes.
arXiv Detail & Related papers (2023-05-15T01:09:58Z) - Experimental quantum state transfer of an arbitrary single-qubit state
on a cycle with four vertices using a coined quantum random walk [4.291616110077346]
We experimentally demonstrate the transfer of an unknown single-qubit state from Alice to Bob via a two-step discrete-time quantum random walk.
We certify that the quantum walk generates a genuine quadripartite entangled state of all four qubits.
arXiv Detail & Related papers (2023-05-03T13:29:12Z) - 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) - 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) - 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) - Determining ground-state phase diagrams on quantum computers via a
generalized application of adiabatic state preparation [61.49303789929307]
We use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution.
We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.
arXiv Detail & Related papers (2021-12-08T23:59:33Z) - Methods for measuring noise, purity changes, and entanglement entropy in
quantum devices and systems [0.0]
We present methods for evaluating the rate of change in quantities during quantum evolution due to coupling to the environment.
We start by applying this method for measuring the rate of purity changes in quantum circuits.
The presented scheme enables to distill the dissipative contribution in the changes of quantities such as energies and coherence.
arXiv Detail & Related papers (2021-12-01T15:07:29Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z) - Calculating transition amplitudes by variational quantum deflation [5.306344552127684]
Variational quantum eigensolver (VQE) is an appealing candidate for the application of near-term quantum computers.
No method to evaluate transition amplitudes between the eigenstates found by the VQD without using any costly Hadamard-test-like circuit.
Our method relies only on the ability to estimate between two states, so it does not restrict the validity to the VQD eigenstates.
arXiv Detail & Related papers (2020-02-26T19:00:00Z)
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.