Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing

• URL: http://arxiv.org/abs/2009.03539v1
• Date: Tue, 8 Sep 2020 06:28:32 GMT
• Title: Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
• Authors: Narendra N. Hegade, Koushik Paul, Yongcheng Ding, Mikel Sanz, F. Albarr\'an-Arriagada, Enrique Solano, Xi Chen
• Abstract summary: counter-diabatic (CD) driving provides a promising means to speed up quantum many-body systems. We show the applicability of CD driving to enhance the digitized adiabatic quantum computing paradigm in terms of fidelity and total simulation time. We implement this proposal in the IBM quantum computer, proving its usefulness for the speed up of adiabatic quantum computing in noisy intermediate-scale quantum devices.
• Score: 3.106630515217536
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Shortcuts to adiabaticity are well-known methods for controlling the quantum dynamics beyond the adiabatic criteria, where counter-diabatic (CD) driving provides a promising means to speed up quantum many-body systems. In this work, we show the applicability of CD driving to enhance the digitized adiabatic quantum computing paradigm in terms of fidelity and total simulation time. We study the state evolution of an Ising spin chain using the digitized version of the standard CD driving and its variants derived from the variational approach. We apply this technique in the preparation of Bell and Greenberger-Horne-Zeilinger states with high fidelity using a very shallow quantum circuit. We implement this proposal in the IBM quantum computer, proving its usefulness for the speed up of adiabatic quantum computing in noisy intermediate-scale quantum devices.

Related papers

• Quantum quench dynamics as a shortcut to adiabaticity [31.114245664719455]
  We develop and test a quantum algorithm in which the incorporation of a quench step serves as a remedy to the diverging adiabatic timescale. Our experiments show that this approach significantly outperforms the adiabatic algorithm.
  arXiv  Detail & Related papers  (2024-05-31T17:07:43Z)
• A Quantum-Classical Collaborative Training Architecture Based on Quantum State Fidelity [50.387179833629254]
  We introduce a collaborative classical-quantum architecture called co-TenQu. Co-TenQu enhances a classical deep neural network by up to 41.72% in a fair setting. It outperforms other quantum-based methods by up to 1.9 times and achieves similar accuracy while utilizing 70.59% fewer qubits.
  arXiv  Detail & Related papers  (2024-02-23T14:09:41Z)
• Quantum control by effective counterdiabatic driving [0.0]
  Adiabatic dynamics is accelerated by introducing high-frequency modulations in the control Hamiltonian. We present a number of applications for the high-fidelity realization of quantum state transfers and quantum gates.
  arXiv  Detail & Related papers  (2024-02-07T15:14:41Z)
• Feedback-based Quantum Algorithm Inspired by Counterdiabatic Driving [0.32985979395737786]
  We propose a protocol that uses ideas from quantum Lyapunov control and the counterdiabatic driving protocol. We apply our algorithm to prepare ground states in one-dimensional quantum Ising spin chains.
  arXiv  Detail & Related papers  (2024-01-27T05:41:32Z)
• QuantumSEA: In-Time Sparse Exploration for Noise Adaptive Quantum Circuits [82.50620782471485]
  QuantumSEA is an in-time sparse exploration for noise-adaptive quantum circuits. It aims to achieve two key objectives: (1) implicit circuits capacity during training and (2) noise robustness. Our method establishes state-of-the-art results with only half the number of quantum gates and 2x time saving of circuit executions.
  arXiv  Detail & Related papers  (2024-01-10T22:33:00Z)
• 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)
• 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)
• 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)
• 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)

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.