Quantum Computation and Simulation using Fermion-Pair Registers

• URL: http://arxiv.org/abs/2306.03905v1
• Date: Tue, 6 Jun 2023 17:59:08 GMT
• Title: Quantum Computation and Simulation using Fermion-Pair Registers
• Authors: Xiangkai Sun, Di Luo, Soonwon Choi
• Abstract summary: We propose and analyze an approach to realize quantum computation and simulation using fermionic particles under quantum gas microscopes. We describe how to engineer the SWAP gate and high-fidelity controlled-phase gates. We show that 2D quantum Ising Hamiltonians with transverse and longitudinal fields can be efficient simulated by modulating Feshbach interaction strengths.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We propose and analyze an approach to realize quantum computation and simulation using fermionic particles under quantum gas microscopes. Our work is inspired by a recent experimental demonstration of large-scale quantum registers, where tightly localized fermion pairs are used to encode qubits exhibiting long coherence time and robustness against laser intensity noise. We describe how to engineer the SWAP gate and high-fidelity controlled-phase gates by adjusting the fermion hopping as well as Feshbach interaction strengths. Combined with previously demonstrated single-qubit rotations, these gates establish the computational universality of the system. Furthermore, we show that 2D quantum Ising Hamiltonians with tunable transverse and longitudinal fields can be efficient simulated by modulating Feshbach interaction strengths. We present a sample-efficient protocol to characterize engineered gates and Hamiltonian dynamics based on an improved classical shadow process tomography that requires minimal experimental controls. Our work opens up new opportunities to harness existing ultracold quantum gases for quantum information sciences.

Related papers

• Simulating Chemistry with Fermionic Optical Superlattices [2.7521403951088934]
  We show that quantum number preserving Ans"atze for variational optimization in quantum chemistry find an elegant mapping to ultracold fermions in optical superlattices. Trial ground states for arbitrary molecular Hamiltonians can be prepared and their molecular energies measured in the lattice.
  arXiv  Detail & Related papers  (2024-09-09T14:35:55Z)
• Fourier Neural Operators for Learning Dynamics in Quantum Spin Systems [77.88054335119074]
  We use FNOs to model the evolution of random quantum spin systems. We apply FNOs to a compact set of Hamiltonian observables instead of the entire $2n$ quantum wavefunction.
  arXiv  Detail & Related papers  (2024-09-05T07:18:09Z)
• Quantum simulation of Fermi-Hubbard model based on transmon qudit interaction [0.0]
  We introduce a novel quantum simulation approach utilizing qudits to overcome such complexities. We first demonstrate a Qudit Fermionic Mapping (QFM) that reduces the encoding cost associated with the qubit-based approach. We then describe the unitary evolution of the mapped Hamiltonian by interpreting the resulting Majorana operators in terms of physical single- and two-qudit gates.
  arXiv  Detail & Related papers  (2024-02-02T09:10:40Z)
• 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)
• Fermion-qudit quantum processors for simulating lattice gauge theories with matter [0.0]
  We present a complete Rydberg-based architecture, co-designed to digitally simulate the dynamics of general gauge theories. We show how to prepare hadrons made up of fermionic matter constituents bound by non-abelian gauge fields. In both cases, we estimate the required resources, showing how quantum devices can be used to calculate experimentally-relevant quantities.
  arXiv  Detail & Related papers  (2023-03-15T15:12:26Z)
• Fermionic quantum processing with programmable neutral atom arrays [0.539215791790606]
  Simulating the properties of many-body fermionic systems is an outstanding computational challenge relevant to material science, quantum chemistry, and particle physics. We present a fermionic quantum processor, where fermionic models are encoded in a fermionic register and simulated in a hardware-efficient manner using fermionic gates.
  arXiv  Detail & Related papers  (2023-03-13T10:35:48Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Generation and structuring of multipartite entanglement in Josephson parametric system [0.0]
  vacuum state of a quantum field may act as a key element for the generation of multipartite quantum entanglement. We achieve generation of genuine tripartite entangled state and its control by the use of the phase difference between two continuous pump tones. Our scheme provides a comprehensive control toolbox for the entanglement structure and allows us to demonstrate, for first time to our knowledge, genuine quadripartite entanglement of microwave modes.
  arXiv  Detail & Related papers  (2022-03-17T11:16:32Z)
• 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)
• 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)
• Simulating nonnative cubic interactions on noisy quantum machines [65.38483184536494]
  We show that quantum processors can be programmed to efficiently simulate dynamics that are not native to the hardware. On noisy devices without error correction, we show that simulation results are significantly improved when the quantum program is compiled using modular gates.
  arXiv  Detail & Related papers  (2020-04-15T05:16:24Z)

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.