Acceleration and deceleration of quantum dynamics based on
inter-trajectory travel with fast-forward scaling theory
- URL: http://arxiv.org/abs/2109.12458v1
- Date: Sat, 25 Sep 2021 23:35:42 GMT
- Title: Acceleration and deceleration of quantum dynamics based on
inter-trajectory travel with fast-forward scaling theory
- Authors: Shumpei Masuda, Jacob Koenig, Gary A. Steele
- Abstract summary: We propose a method to accelerate quantum dynamics and obtain a target state in a shorter time relative to unmodified dynamics.
We extend the technique to accelerate quantum adiabatic evolution in order to rapidly generate a desired target state.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum information processing requires fast manipulations of quantum systems
in order to overcome dissipative effects. We propose a method to accelerate
quantum dynamics and obtain a target state in a shorter time relative to
unmodified dynamics, and apply the theory to a system consisting of two
linearly coupled qubits. We extend the technique to accelerate quantum
adiabatic evolution in order to rapidly generate a desired target state,
thereby realizing a shortcut to adiabaticity. Further, we address experimental
limitations to the rate of change of control parameters for quantum devices
which often limit one's ability to generate a desired target state with high
fidelity. We show that an initial state following decelerated dynamics can
reach a target state while varying control parameters more slowly, enabling
more experimentally feasible driving schemes.
Related papers
- Quantum highway: Observation of minimal and maximal speed limits for few and many-body states [19.181412608418608]
Inspired by the energy-time uncertainty principle, bounds have been demonstrated on the maximal speed at which a quantum state can change.
We show that one can test the known quantum speed limits and that modifying a single Hamiltonian parameter allows the observation of the crossover of the different bounds on the dynamics.
arXiv Detail & Related papers (2024-08-21T18:00:07Z) - Fast adiabatic control of an optomechanical cavity [62.997667081978825]
We present a shortcut to adiabaticity for the control of an optomechanical cavity with two moving mirrors.
We find analytical expressions that give us effective trajectories which implement a STA for the quantum field inside the cavity.
arXiv Detail & Related papers (2022-11-09T15:32:28Z) - Fast-forward scaling theory [0.0]
Fast-forward scaling theory (FFST) was originally developed to provide a way to accelerate, decelerate, stop and reverse the dynamics of quantum systems.
This paper describes the basic concept of FFST and review the recent developments and its applications such as fast state-preparations, state protection and ion sorting.
arXiv Detail & Related papers (2022-07-26T08:43:54Z) - Variational quantum simulation of the imaginary-time Lyapunov control
for accelerating the ground-state preparation [17.802280143175235]
We first propose a Lyapunov control-inspired strategy to accelerate the well-established imaginary-time method for ground-state preparation.
To make the method accessible in the noisy intermediate-scale quantum era, we propose a variational form of the algorithm that could work with shallow quantum circuits.
arXiv Detail & Related papers (2021-12-22T10:40:33Z) - 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) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Continuous-time dynamics and error scaling of noisy highly-entangling
quantum circuits [58.720142291102135]
We simulate a noisy quantum Fourier transform processor with up to 21 qubits.
We take into account microscopic dissipative processes rather than relying on digital error models.
We show that depending on the dissipative mechanisms at play, the choice of input state has a strong impact on the performance of the quantum algorithm.
arXiv Detail & Related papers (2021-02-08T14:55:44Z) - Experimental implementation of precisely tailored light-matter
interaction via inverse engineering [5.131683740032632]
shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process, have nowadays become versatile toolboxes.
Here, we implement fast and robust control for the state preparation and state engineering in a rare-earth ions system.
We demonstrate that our protocols surpass the conventional adiabatic schemes, by reducing the decoherence from the excited state decay and inhomogeneous broadening.
arXiv Detail & Related papers (2021-01-29T08:17:01Z) - Direct Quantum Communications in the Presence of Realistic Noisy
Entanglement [69.25543534545538]
We propose a novel quantum communication scheme relying on realistic noisy pre-shared entanglement.
Our performance analysis shows that the proposed scheme offers competitive QBER, yield, and goodput.
arXiv Detail & Related papers (2020-12-22T13:06:12Z) - Fast and differentiable simulation of driven quantum systems [58.720142291102135]
We introduce a semi-analytic method based on the Dyson expansion that allows us to time-evolve driven quantum systems much faster than standard numerical methods.
We show results of the optimization of a two-qubit gate using transmon qubits in the circuit QED architecture.
arXiv Detail & Related papers (2020-12-16T21:43:38Z) - Kibble-Zurek scaling in quantum speed limits for shortcuts to
adiabaticity [0.0]
We show that the quantum speed limit for counterdiabatically driven systems undergoing quantum phase transitions fully encodes the Kibble-Zurek mechanism.
Our findings are demonstrated for three scenarios, namely the transverse field Ising, the Landau-Zener, and the Lipkin-Meshkov-Glick models.
arXiv Detail & Related papers (2020-06-08T18:00:17Z)
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.