Universal quantum processors in spin systems via robust local pulse sequences

• URL: http://arxiv.org/abs/2311.10600v3
• Date: Wed, 23 Oct 2024 11:42:11 GMT
• Title: Universal quantum processors in spin systems via robust local pulse sequences
• Authors: Matteo Votto, Johannes Zeiher, Benoît Vermersch,
• Abstract summary: We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.
• Score: 0.0
• License:
• Abstract: We propose a protocol to realize quantum simulation and computation in spin systems with long-range interactions. Our approach relies on the local addressing of single spins with external fields parametrized by Walsh functions. This enables a mapping from a class of target Hamiltonians, defined by the graph structure of their interactions, to pulse sequences. We then obtain a recipe to implement arbitrary two-body Hamiltonians and universal quantum circuits. Performance guarantees are provided in terms of bounds on Trotter errors and total number of pulses. Additionally, Walsh pulse sequences are shown to be robust against various types of pulse errors, in contrast to previous hybrid digital-analog schemes of quantum computation. We demonstrate and numerically benchmark our protocol with examples from the dynamics of spin models, quantum error correction and quantum optimization algorithms.

Related papers

• Simulating the Fermi-Hubbard model with long-range hopping on a quantum computer [0.0]
  We provide quantum circuits to perform ground and excited states calculations. We benchmark our approach on a chain with L=6 sites and periodic boundary conditions.
  arXiv  Detail & Related papers  (2024-10-10T10:19:02Z)
• Blueprint of a Molecular Spin Quantum Processor [0.0]
  We present the blueprint of a Molecular Spin Quantum Processor consisting of single Molecular Nanomagnets, acting as qudits. We show how to implement a universal set of gates in such a platform and to readout the final qudit state.
  arXiv  Detail & Related papers  (2023-05-02T18:00:06Z)
• Pulse-controlled qubit in semiconductor double quantum dots [57.916342809977785]
  We present a numerically-optimized multipulse framework for the quantum control of a single-electron charge qubit. A novel control scheme manipulates the qubit adiabatically, while also retaining high speed and ability to perform a general single-qubit rotation.
  arXiv  Detail & Related papers  (2023-03-08T19:00:02Z)
• Trapped-Ion Quantum Simulation of Collective Neutrino Oscillations [55.41644538483948]
  We study strategies to simulate the coherent collective oscillations of a system of N neutrinos in the two-flavor approximation using quantum computation. We find that the gate complexity using second order Trotter- Suzuki formulae scales better with system size than with other decomposition methods such as Quantum Signal Processing.
  arXiv  Detail & Related papers  (2022-07-07T09:39:40Z)
• Coupled dynamics of spin qubits in optical dipole microtraps [0.0]
  We report a theoretical analysis of the physics underlying an implementation of a Rydberg two-qubit gate in such a system. We focus on a blockade-type entangling gate and consider various decoherence processes limiting its performance in a real system. Our methods and results may find implementation in numerical models for simulation and optimization of neutral atom based quantum processors.
  arXiv  Detail & Related papers  (2022-05-06T17:30:49Z)
• High-fidelity quantum control by polychromatic pulse trains [0.0]
  We introduce a quantum control technique using polychromatic pulse sequences (PPS) PPS consists of pulses with different carrier frequencies, i.e. different detunings with respect to the qubit transition frequency. We derive numerous PPS, which generate broadband, narrowband, and passband excitation profiles for different target transition probabilities.
  arXiv  Detail & Related papers  (2022-04-05T12:17:24Z)
• Quantum circuits for the preparation of spin eigenfunctions on quantum computers [63.52264764099532]
  Hamiltonian symmetries are an important instrument to classify relevant many-particle wavefunctions. This work presents quantum circuits for the exact and approximate preparation of total spin eigenfunctions on quantum computers.
  arXiv  Detail & Related papers  (2022-02-19T00:21:46Z)
• Quantum simulation of fermionic systems using hybrid digital-analog quantum computing approach [0.0]
  We show how digital-analog approach can be applied to simulate the dynamics of fermionic systems. We find that an optimal connectivity topology of qubits for the digital-analog simulation of fermionic systems of arbitrary dimensionality is a chain for spinless fermions and a ladder for spin-1/2 particles.
  arXiv  Detail & Related papers  (2021-12-30T18:24:47Z)
• 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)
• Pulse-level noisy quantum circuits with QuTiP [53.356579534933765]
  We introduce new tools in qutip-qip, QuTiP's quantum information processing package. These tools simulate quantum circuits at the pulse level, leveraging QuTiP's quantum dynamics solvers and control optimization features. We show how quantum circuits can be compiled on simulated processors, with control pulses acting on a target Hamiltonian.
  arXiv  Detail & Related papers  (2021-05-20T17:06:52Z)
• Information Scrambling in Computationally Complex Quantum Circuits [56.22772134614514]
  We experimentally investigate the dynamics of quantum scrambling on a 53-qubit quantum processor. We show that while operator spreading is captured by an efficient classical model, operator entanglement requires exponentially scaled computational resources to simulate.
  arXiv  Detail & Related papers  (2021-01-21T22:18:49Z)

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.