State-dependent error bound for digital quantum simulation of driven systems

• URL: http://arxiv.org/abs/2201.04835v2
• Date: Mon, 16 May 2022 14:16:27 GMT
• Title: State-dependent error bound for digital quantum simulation of driven systems
• Authors: Takuya Hatomura
• Abstract summary: We derive a lower bound for overlap between true dynamics and digital simulated dynamics at the final time. We extend our formalism to error evaluation of digital quantum simulation on noisy quantum computers.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Digital quantum simulation is a promising application of quantum computers, where quantum dynamics is simulated by using quantum gate operations. Many techniques for decomposing a time-evolution operator of quantum dynamics into simulatable quantum gate operations have been proposed, while these methods cause some errors. To evaluate these errors, we derive a lower bound for overlap between true dynamics and digital simulated dynamics at the final time. Our result enables us to guarantee how obtained digital simulated dynamics is close to unknown true dynamics. We also extend our formalism to error evaluation of digital quantum simulation on noisy quantum computers.

Related papers

• Digital Quantum Simulations of Hong-Ou-Mandel Interference [0.26813152817733554]
  We discuss the application of digital quantum simulations to simulate a bosonic system, a beam splitter. We validated our quantum circuit that mimics the action of a beam splitter by simulating the Hong-Ou-Mandel interference experiment.
  arXiv  Detail & Related papers  (2024-02-27T14:05:34Z)
• Digital quantum simulation of gravitational optomechanics with IBM quantum computers [0.0]
  We showcase the digital quantum simulation of the action of a Hamiltonian that governs the interaction between a quantum mechanical oscillator and an optical field. This is achieved by making use of a boson-qubit mapping protocol and a digital gate decomposition that allow us to run the simulations in the quantum computers available in the IBM Quantum platform. We present the obtained results for the fidelity of the experiment in two different quantum computers, after applying error mitigation and post-selection techniques.
  arXiv  Detail & Related papers  (2024-01-16T13:56:20Z)
• 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)
• 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)
• 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)
• Digital quantum simulation of open quantum systems using quantum imaginary time evolution [0.0]
  We report algorithms for the digital quantum simulation of the dynamics of open quantum systems governed by a Lindblad equation. Our work advances efforts to simulate the dynamics of open quantum systems on quantum hardware.
  arXiv  Detail & Related papers  (2021-04-15T23:48:06Z)
• 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)
• 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)
• Noisy intermediate scale quantum simulation of time dependent Hamiltonians [0.0]
  We extend the quantum assisted simulator to simulate the dynamics of a class of time-dependent Hamiltonians. Our results indicate that quantum assisted simulator is a promising algorithm for current term quantum hardware.
  arXiv  Detail & Related papers  (2021-01-19T15:20:03Z)
• Digital Quantum Simulation of Non-Equilibrium Quantum Many-Body Systems [0.0]
  Digital quantum simulation uses the capabilities of quantum computers to determine the dynamics of quantum systems. Here we use the IBM quantum computers to simulate the non-equilibrium dynamics of few spin and fermionic systems.
  arXiv  Detail & Related papers  (2020-09-15T22:29:04Z)

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.