Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state

• URL: http://arxiv.org/abs/2211.09724v2
• Date: Thu, 1 Jun 2023 17:54:31 GMT
• Title: Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Authors: Francesco Petiziol, Sandro Wimberger, Andr\'e Eckardt, Florian Mintert
• Abstract summary: We develop a hybrid continuous-digital strategy that exploits the commutativity of different terms in the target Hamiltonian. A proof-of-principle implementation of a topological device and its use to simulate the topological phase transition are also discussed.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We theoretically propose a quantum simulation scheme for the toric-code Hamiltonian, the paradigmatic model of a quantum spin liquid, based on time-periodic driving. We develop a hybrid continuous-digital strategy that exploits the commutativity of different terms in the target Hamiltonian. It allows one to realize the required four-body interactions in a nonperturbative way, attaining strong coupling and the suppression of undesired processes. In addition, we design an optimal protocol for preparing the topologically ordered ground states with high fidelity. A proof-of-principle implementation of a topological device and its use to simulate the topological phase transition are also discussed. The proposed scheme finds natural implementation in architectures of superconducting qubits with tuneable couplings.

Related papers

• Orbital-free density functional theory with first-quantized quantum subroutines [0.0]
  We propose a quantum-classical hybrid scheme for performing orbital-free density functional theory (OFDFT) using probabilistic imaginary-time evolution (PITE) PITE is applied to the part of OFDFT that searches the ground state of the Hamiltonian in each self-consistent field (SCF) iteration. It is shown that obtaining the ground state energy of Hamiltonian requires a circuit depth of $O(log N_mathrmg)$.
  arXiv  Detail & Related papers  (2024-07-23T05:34:11Z)
• Predicting Topological Entanglement Entropy in a Rydberg analog simulator [0.0]
  This work focuses on the dynamical preparation of a quantum-spin-liquid state on a Rydberg-atom simulator. The flexibility of our approach does not only allow one to match the physically correct form of the Rydberg-atom Hamiltonian but also the relevant lattice topology. We show that, while the simulated state exhibits (global) topological order and local properties resembling those of a resonating-valence-bond (RVB) state, it lacks the latter's characteristic topological entanglement entropy signature.
  arXiv  Detail & Related papers  (2024-06-28T12:27:42Z)
• Shortcut to adiabaticity and holonomic transformation are the same thing [0.0]
  We construct a universal control framework based on the system dynamics within an ancillary picture. We demonstrate that our control framework can be reduced to the nonadiabatic holonomic quantum transformation. For the state engineering over a finite-dimensional quantum system, our work can provide a full-rank nonadiabatic time-evolution operator.
  arXiv  Detail & Related papers  (2024-06-23T05:11:56Z)
• Shortcut-to-adiabaticity for coupled harmonic oscillators [0.0]
  Shortcuts to adiabaticity methods allow to obtain desirable states of adiabatic dynamics. Problem of considering this technique for two-coupled bosonic modes is addressed. Problem of considering this technique for two-coupled bosonic modes is addressed.
  arXiv  Detail & Related papers  (2023-10-14T12:58:59Z)
• Robust Hamiltonian Engineering for Interacting Qudit Systems [50.591267188664666]
  We develop a formalism for the robust dynamical decoupling and Hamiltonian engineering of strongly interacting qudit systems. We experimentally demonstrate these techniques in a strongly-interacting, disordered ensemble of spin-1 nitrogen-vacancy centers.
  arXiv  Detail & Related papers  (2023-05-16T19:12:41Z)
• Dissipative preparation and stabilization of many-body quantum states in a superconducting qutrit array [55.41644538483948]
  We present and analyze a protocol for driven-dissipatively preparing and stabilizing a manifold of quantum manybody entangled states. We perform theoretical modeling of this platform via pulse-level simulations based on physical features of real devices. Our work shows the capacity of driven-dissipative superconducting cQED systems to host robust and self-corrected quantum manybody states.
  arXiv  Detail & Related papers  (2023-03-21T18:02:47Z)
• Practical quantum simulation of small-scale non-Hermitian dynamics [10.584549329610134]
  We propose a protocol which combines a dilation method with the variational quantum algorithm. The dilation method is used to transform a non-Hermitian Hamiltonian into a Hermitian one through an exquisite quantum circuit. As a demonstration, we apply our protocol to simulate the dynamics of an Ising chain with nonlocal non-Hermitian perturbations.
  arXiv  Detail & Related papers  (2022-11-27T13:33:12Z)
• 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)
• 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)
• Algebraic Compression of Quantum Circuits for Hamiltonian Evolution [52.77024349608834]
  Unitary evolution under a time dependent Hamiltonian is a key component of simulation on quantum hardware. We present an algorithm that compresses the Trotter steps into a single block of quantum gates. This results in a fixed depth time evolution for certain classes of Hamiltonians.
  arXiv  Detail & Related papers  (2021-08-06T19:38:01Z)
• Enhancement of quantum correlations and geometric phase for a driven bipartite quantum system in a structured environment [77.34726150561087]
  We study the role of driving in an initial maximally entangled state evolving under a structured environment. This knowledge can aid the search for physical setups that best retain quantum properties under dissipative dynamics.
  arXiv  Detail & Related papers  (2021-03-18T21:11:37Z)

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.