Mixed Quantum-Classical Dynamics for Near Term Quantum Computers
- URL: http://arxiv.org/abs/2303.11375v2
- Date: Mon, 21 Aug 2023 09:36:06 GMT
- Title: Mixed Quantum-Classical Dynamics for Near Term Quantum Computers
- Authors: Daniel Bultrini, Oriol Vendrell
- Abstract summary: Mixed quantum-classical dynamics is often used to understand systems too complex to treat fully quantum mechanically.
We present a modular algorithm for general mixed quantum-classical dynamics where the quantum subsystem is coupled with the classical subsystem.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Mixed quantum-classical dynamics is a set of methods often used to understand
systems too complex to treat fully quantum mechanically. Many techniques exist
for full quantum mechanical evolution on quantum computers, but mixed
quantum-classical dynamics are less explored. We present a modular algorithm
for general mixed quantum-classical dynamics where the quantum subsystem is
coupled with the classical subsystem. We test it on a modified Shin-Metiu model
in the first quantization through Ehrenfest propagation. We find that the
Time-Dependent Variational Time Propagation algorithm performs well for
short-time evolutions and retains qualitative results for longer-time
evolutions.
Related papers
- Simulation of open quantum systems on universal quantum computers [15.876768787615179]
We present an innovative and scalable method to simulate open quantum systems using quantum computers.
We define an adjoint density matrix as a counterpart of the true density matrix, which reduces to a mixed-unitary quantum channel.
accurate long-time simulation can also be achieved as the adjoint density matrix and the true dissipated one converges to the same state.
arXiv Detail & Related papers (2024-05-31T09:07:27Z) - Retrieving past quantum features with deep hybrid classical-quantum
reservoir computing [1.8434042562191815]
We introduce deep hybrid classical-quantum reservoir computing for temporal processing of quantum states.
We find that the hybrid setup inherits the strengths of both of its constituents but is even more than just the sum of its parts.
The quantum layer is within reach of state-of-the-art multimode quantum optical platforms while the classical layer can be implemented in silico.
arXiv Detail & Related papers (2024-01-30T12:41:24Z) - Quantum data learning for quantum simulations in high-energy physics [55.41644538483948]
We explore the applicability of quantum-data learning to practical problems in high-energy physics.
We make use of ansatz based on quantum convolutional neural networks and numerically show that it is capable of recognizing quantum phases of ground states.
The observation of non-trivial learning properties demonstrated in these benchmarks will motivate further exploration of the quantum-data learning architecture in high-energy physics.
arXiv Detail & Related papers (2023-06-29T18:00:01Z) - Combining Matrix Product States and Noisy Quantum Computers for Quantum
Simulation [0.0]
Matrix Product States (MPS) and Operators (MPO) have been proven to be a powerful tool to study quantum many-body systems.
We show that using classical knowledge in the form of tensor networks provides a way to better use limited quantum resources.
arXiv Detail & Related papers (2023-05-30T17:21:52Z) - The Quantum Path Kernel: a Generalized Quantum Neural Tangent Kernel for
Deep Quantum Machine Learning [52.77024349608834]
Building a quantum analog of classical deep neural networks represents a fundamental challenge in quantum computing.
Key issue is how to address the inherent non-linearity of classical deep learning.
We introduce the Quantum Path Kernel, a formulation of quantum machine learning capable of replicating those aspects of deep machine learning.
arXiv Detail & Related papers (2022-12-22T16:06:24Z) - Time-Optimal Quantum Driving by Variational Circuit Learning [2.9582851733261286]
Digital quantum simulation and hybrid circuit learning opens up new prospects for quantum optimal control.
We simulate the wave-packet expansion of a trapped quantum particle on a quantum device with a finite number qubits.
We discuss the robustness of our method against errors and demonstrate the absence of barren plateaus in the circuit.
arXiv Detail & Related papers (2022-11-01T11:53:49Z) - 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) - Imaginary Time Propagation on a Quantum Chip [50.591267188664666]
Evolution in imaginary time is a prominent technique for finding the ground state of quantum many-body systems.
We propose an algorithm to implement imaginary time propagation on a quantum computer.
arXiv Detail & Related papers (2021-02-24T12:48:00Z) - Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor.
We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
arXiv Detail & Related papers (2021-01-21T22:18:49Z) - Real- and imaginary-time evolution with compressed quantum circuits [0.5089078998562184]
We show that quantum circuits can provide a dramatically more efficient representation than current classical numerics.
For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers.
arXiv Detail & Related papers (2020-08-24T11:16:43Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z)
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.