Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device

• URL: http://arxiv.org/abs/2412.19590v1
• Date: Fri, 27 Dec 2024 11:20:45 GMT
• Title: Robust phase estimation of the ground-state energy without controlled time evolution on a quantum device
• Authors: Hiroki Kuji, Yuta Shingu, Tetsuro Nikuni, Takashi Imoto, Kenji Sugisaki, Yuichiro Matsuzaki,
• Abstract summary: Estimating the ground-state energy of Hamiltonians in quantum systems is an important task. We demonstrate that the ground-state energy can be accurately estimated without controlled time evolution. Our method is robust against non-adiabatic transitions, making it suitable for use with early fault-tolerant quantum computers.
• Score: 0.0
• License:
• Abstract: Estimating the ground-state energy of Hamiltonians in quantum systems is an important task. In this work, we demonstrate that the ground-state energy can be accurately estimated without controlled time evolution by using adiabatic state preparation (ASP) and Ramsey-type measurement. By considering the symmetry of the Hamiltonian governing the time evolution during ASP, we can prepare a superposition of the ground state and reference state whose eigenvalue is known. This enables the estimation of the ground-state energy via Ramsey-type measurement. Furthermore, our method is robust against non-adiabatic transitions, making it suitable for use with early fault-tolerant quantum computers and quantum annealing.

Related papers

• Thermalization and Criticality on an Analog-Digital Quantum Simulator [133.58336306417294]
  We present a quantum simulator comprising 69 superconducting qubits which supports both universal quantum gates and high-fidelity analog evolution. We observe signatures of the classical Kosterlitz-Thouless phase transition, as well as strong deviations from Kibble-Zurek scaling predictions. We digitally prepare the system in pairwise-entangled dimer states and image the transport of energy and vorticity during thermalization.
  arXiv  Detail & Related papers  (2024-05-27T17:40:39Z)
• Arbitrary Ground State Observables from Quantum Computed Moments [0.0]
  We extend the quantum computed moments (QCM) method to estimate arbitrary ground state observables of quantum systems. We present preliminary results of using QCM to determine the ground state magnetisation and spin-spin correlations of the Heisenberg model.
  arXiv  Detail & Related papers  (2023-12-12T04:29:43Z)
• Real-time dynamics of false vacuum decay [49.1574468325115]
  We investigate false vacuum decay of a relativistic scalar field in the metastable minimum of an asymmetric double-well potential. We employ the non-perturbative framework of the two-particle irreducible (2PI) quantum effective action at next-to-leading order in a large-N expansion.
  arXiv  Detail & Related papers  (2023-10-06T12:44:48Z)
• Daemonic ergotropy in continuously-monitored open quantum batteries [0.0]
  daemonic ergotropy is introduced to properly describe and quantify this work extraction enhancement in the quantum regime. We show that the corresponding daemonic ergotropy takes values between the ergotropy and the energy of the corresponding unconditional state. The upper bound is achieved by assuming an initial pure state and a perfectly efficient projective measurement on the environment.
  arXiv  Detail & Related papers  (2023-02-23T19:04:47Z)
• Determining ground-state phase diagrams on quantum computers via a generalized application of adiabatic state preparation [61.49303789929307]
  We use a local adiabatic ramp for state preparation to allow us to directly compute ground-state phase diagrams on a quantum computer via time evolution. We are able to calculate an accurate phase diagram on both two and three site systems using IBM quantum machines.
  arXiv  Detail & Related papers  (2021-12-08T23:59:33Z)
• Observation of Time-Crystalline Eigenstate Order on a Quantum Processor [80.17270167652622]
  Quantum-body systems display rich phase structure in their low-temperature equilibrium states. We experimentally observe an eigenstate-ordered DTC on superconducting qubits. Results establish a scalable approach to study non-equilibrium phases of matter on current quantum processors.
  arXiv  Detail & Related papers  (2021-07-28T18:00:03Z)
• Quantum metrology based on symmetry-protected adiabatic transformation: Imperfection, finite time duration, and dephasing [0.0]
  We introduce a ferromagnetic Ising model with a transverse field as a probe and consider the estimation of a longitudinal field. Without the transverse field, the ground state of the probe is given by the Greenberger-Horne-Zeilinger state, and thus the Heisenberg limit estimation of the longitudinal field can be achieved through parity measurement. In our scheme, full information of the longitudinal field encoded on parity is exactly mapped to global magnetization by symmetry-protected adiabatic transformation.
  arXiv  Detail & Related papers  (2021-04-07T03:48:53Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Observing a Topological Transition in Weak-Measurement-Induced Geometric Phases [55.41644538483948]
  Weak measurements in particular, through their back-action on the system, may enable various levels of coherent control. We measure the geometric phases induced by sequences of weak measurements and demonstrate a topological transition in the geometric phase controlled by measurement strength. Our results open new horizons for measurement-enabled quantum control of many-body topological states.
  arXiv  Detail & Related papers  (2021-02-10T19:00:00Z)
• Improving the accuracy of the energy estimation by combining quantum annealing with classical computation [0.0]
  It is essential to estimate a ground state energy of the Hamiltonian with chemical accuracy. We propose a way to improve the accuracy of the estimate of the ground state energy by combining quantum annealing with classical computation. We show that, if an expectation value and variance of the energy of the state after the QA are smaller than certain threshold values, the QA provides us with a better estimate of the ground state energy than that of the pre-estimation.
  arXiv  Detail & Related papers  (2021-02-10T08:52:39Z)
• Direct estimation of the energy gap between the ground state and excited state with quantum annealing [0.0]
  We propose a direct estimation of the energy gap between the ground state and excited state of the target Hamiltonian. Based on typical parameters of superconducting qubits, we numerically investigate the performance of our scheme. Our results pave a new way to estimate the energy gap of the Hamiltonian for quantum chemistry.
  arXiv  Detail & Related papers  (2020-07-21T02:03:42Z)

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.