Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware

• URL: http://arxiv.org/abs/2006.05524v3
• Date: Fri, 24 Sep 2021 17:40:16 GMT
• Title: Determining quantum phase diagrams of topological Kitaev-inspired models on NISQ quantum hardware
• Authors: Xiao Xiao, J. K. Freericks and A. F. Kemper
• Abstract summary: We show how topological protection intrinsic to a quantum model can be employed to perform robust calculations on NISQ hardware. It opens the door for further simulation of topological quantum models on quantum hardware available today.
• Score: 1.8523441396284195
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Topological protection is employed in fault-tolerant error correction and in developing quantum algorithms with topological qubits. But, topological protection intrinsic to models being simulated, also robustly protects calculations, even on NISQ hardware. We leverage it by simulating Kitaev-inspired models on IBM quantum computers and accurately determining their phase diagrams. This requires constructing conventional quantum circuits for Majorana braiding to prepare the ground states of Kitaev-inspired models. The entanglement entropy is then measured to calculate the quantum phase boundaries. We show how maintaining particle-hole symmetry when sampling through the Brillouin zone is critical to obtaining high accuracy. This work illustrates how topological protection intrinsic to a quantum model can be employed to perform robust calculations on NISQ hardware, when one measures the appropriate protected quantum properties. It opens the door for further simulation of topological quantum models on quantum hardware available today.

Related papers

• Scalable Quantum Ground State Preparation of the Heisenberg Model: A Variational Quantum Eigensolver Approach [0.0]
  Variational Quantumsolver (VQE) algorithm is a system composed of a quantum circuit and a classical Eigenational Quantumsolver. We present an ansatz capable of preparing the ground states for all possible values of the coupling, including the critical states for the anisotropic XXZ model.
  arXiv  Detail & Related papers  (2023-08-23T09:26:34Z)
• 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)
• Scalable Simulation of Quantum Measurement Process with Quantum Computers [13.14263204660076]
  We propose qubit models to emulate the quantum measurement process. One model is motivated by single-photon detection and the other by spin measurement. We generate Schr"odinger cat-like state, and their corresponding quantum circuits are shown explicitly.
  arXiv  Detail & Related papers  (2022-06-28T14:21:43Z)
• Recent Advances for Quantum Neural Networks in Generative Learning [98.88205308106778]
  Quantum generative learning models (QGLMs) may surpass their classical counterparts. We review the current progress of QGLMs from the perspective of machine learning. We discuss the potential applications of QGLMs in both conventional machine learning tasks and quantum physics.
  arXiv  Detail & Related papers  (2022-06-07T07:32:57Z)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments [5.774827369850958]
  Recent efforts highlight the development of quantum algorithms based upon quantum computed Hamiltonian moments. This tutorial review focuses on the typical ways of computing Hamiltonian moments using quantum hardware and improving the accuracy of the estimated state energies.
  arXiv  Detail & Related papers  (2021-09-27T04:24:19Z)
• Quantum optimization within lattice gauge theory model on a quantum simulator [7.48916170938768]
  Rydberg atom arrays constitute one of the most rapidly developing arenas for quantum simulation and quantum computing. SQA protocol can be realized easily on quantum simulation platforms such as Rydberg array D-wave annealer.
  arXiv  Detail & Related papers  (2021-05-15T04:14:38Z)
• Tensor Network Quantum Virtual Machine for Simulating Quantum Circuits at Exascale [57.84751206630535]
  We present a modernized version of the Quantum Virtual Machine (TNQVM) which serves as a quantum circuit simulation backend in the e-scale ACCelerator (XACC) framework. The new version is based on the general purpose, scalable network processing library, ExaTN, and provides multiple quantum circuit simulators. By combining the portable XACC quantum processors and the scalable ExaTN backend we introduce an end-to-end virtual development environment which can scale from laptops to future exascale platforms.
  arXiv  Detail & Related papers  (2021-04-21T13:26:42Z)
• Error mitigation and quantum-assisted simulation in the error corrected regime [77.34726150561087]
  A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations. We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
  arXiv  Detail & Related papers  (2021-03-12T20:58:41Z)
• Quantum simulation of open quantum systems in heavy-ion collisions [0.0]
  We present a framework to simulate the dynamics of hard probes such as heavy quarks or jets in a hot, strongly-coupled quark-gluon plasma (QGP) on a quantum computer. Our work demonstrates the feasibility of simulating open quantum systems on current and near-term quantum devices.
  arXiv  Detail & Related papers  (2020-10-07T18:00:02Z)
• State preparation and measurement in a quantum simulation of the O(3) sigma model [65.01359242860215]
  We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site. We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes. We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
  arXiv  Detail & Related papers  (2020-06-28T23:44:12Z)

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.