Demonstration of system-bath physics on a gate-based quantum computer
- URL: http://arxiv.org/abs/2404.18828v4
- Date: Wed, 05 Feb 2025 12:31:43 GMT
- Title: Demonstration of system-bath physics on a gate-based quantum computer
- Authors: Pascal Stadler, Matteo Lodi, Andisheh Khedri, Rolando Reiner, Kirsten Bark, Nicolas Vogt, Michael Marthaler, Juha Leppäkangas,
- Abstract summary: Algorithmic cooling can be used to find correlated states of many-body quantum systems.
We develop a method that uses inherent qubit noise to implement nonunitary operations and algorithmic cooling.
- Score: 0.5224038339798621
- License:
- Abstract: Algorithmic cooling can be used to find correlated states of many-body quantum systems. It is based on quantum circuits that perform nonunitary operations, whose implementation can be challenging on near-term quantum computers. In this work we develop a method that uses inherent qubit noise to implement nonunitary operations and algorithmic cooling. In our approach, qubit decay during quantum computation is used to simulate dissipation of auxiliary-spin bath, which cools down a simulated system towards its ground state. We test the algorithm on IBM-Q devices and demonstrate the relaxation of system spins to ferromagnetic and antiferromagnetic ordering, controlled by the definition of the system Hamiltonian. The ordering is stable as long as the algorithm is run. We are able to perform cooling and state stabilization for global systems of up to three system spins and four auxiliary spins. Our work paves the way for useful quantum simulations of many-body quantum systems on near-term quantum computers.
Related papers
- 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) - Escaping Local Minima with Quantum Coherent Cooling [0.9418857940730343]
We propose a hybrid quantum-classical algorithm for finding the global minima.
Our approach utilizes quantum coherent cooling to facilitate coordinative tunneling through energy barriers.
Our proposed scheme can be implemented in the circuit quantum electrodynamics (cQED) system using a quantum cavity.
arXiv Detail & Related papers (2023-02-21T03:43:13Z) - Quantum Machine Learning: from physics to software engineering [58.720142291102135]
We show how classical machine learning approach can help improve the facilities of quantum computers.
We discuss how quantum algorithms and quantum computers may be useful for solving classical machine learning tasks.
arXiv Detail & Related papers (2023-01-04T23:37:45Z) - A quantum algorithm for solving open system dynamics on quantum
computers using noise [0.0]
We present a quantum algorithm that uses noise as a resource.
The goal of our quantum algorithm is the calculation of operator averages of an open quantum system evolving in time.
We find that classes of open quantum systems exist where our algorithm performs very well, even with gate errors as high as 1%.
arXiv Detail & Related papers (2022-10-21T17:47:32Z) - Simulating open quantum many-body systems using optimised circuits in
digital quantum simulation [0.0]
We study models in open quantum systems with Trotterisations for the modified Schr"odinger equation (MSSE)
Minimising the leading error in MSSE enables to optimise the quantum circuits.
We run the algorithm on the IBM Quantum devices, showing that the current machine is challenging to give quantitatively accurate time dynamics due to the noise.
arXiv Detail & Related papers (2022-03-27T13:00:02Z) - Recompilation-enhanced simulation of electron-phonon dynamics on IBM
Quantum computers [62.997667081978825]
We consider the absolute resource cost for gate-based quantum simulation of small electron-phonon systems.
We perform experiments on IBM quantum hardware for both weak and strong electron-phonon coupling.
Despite significant device noise, through the use of approximate circuit recompilation we obtain electron-phonon dynamics on current quantum computers comparable to exact diagonalisation.
arXiv Detail & Related papers (2022-02-16T19:00:00Z) - An Algebraic Quantum Circuit Compression Algorithm for Hamiltonian
Simulation [55.41644538483948]
Current generation noisy intermediate-scale quantum (NISQ) computers are severely limited in chip size and error rates.
We derive localized circuit transformations to efficiently compress quantum circuits for simulation of certain spin Hamiltonians known as free fermions.
The proposed numerical circuit compression algorithm behaves backward stable and scales cubically in the number of spins enabling circuit synthesis beyond $mathcalO(103)$ spins.
arXiv Detail & Related papers (2021-08-06T19:38:03Z) - Variational Quantum Anomaly Detection: Unsupervised mapping of phase
diagrams on a physical quantum computer [0.0]
We propose variational quantum anomaly detection, an unsupervised quantum machine learning algorithm to analyze quantum data from quantum simulation.
The algorithm is used to extract the phase diagram of a system with no prior physical knowledge.
We show that it can be used with readily accessible devices nowadays and perform the algorithm on a real quantum computer.
arXiv Detail & Related papers (2021-06-15T06:54:47Z) - Computing Free Energies with Fluctuation Relations on Quantum Computers [0.0]
We present an algorithm utilizing a fluctuation relation known as the Jarzynski equality to approximate free energy differences of quantum systems on a quantum computer.
We successfully demonstrate a proof-of-concept of our algorithm using the transverse field Ising model on a real quantum processor.
arXiv Detail & Related papers (2021-03-17T18:14:19Z) - Quantum walk processes in quantum devices [55.41644538483948]
We study how to represent quantum walk on a graph as a quantum circuit.
Our approach paves way for the efficient implementation of quantum walks algorithms on quantum computers.
arXiv Detail & Related papers (2020-12-28T18:04:16Z) - Simulation of Thermal Relaxation in Spin Chemistry Systems on a Quantum
Computer Using Inherent Qubit Decoherence [53.20999552522241]
We seek to take advantage of qubit decoherence as a resource in simulating the behavior of real world quantum systems.
We present three methods for implementing the thermal relaxation.
We find excellent agreement between our results, experimental data, and the theoretical prediction.
arXiv Detail & Related papers (2020-01-03T11:48:11Z)
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.