Local Counterdiabatic Driving for Jaynes-Cummings Lattices

• URL: http://arxiv.org/abs/2409.19186v1
• Date: Fri, 27 Sep 2024 23:56:49 GMT
• Title: Local Counterdiabatic Driving for Jaynes-Cummings Lattices
• Authors: A. Govindarajan, L. Tian,
• Abstract summary: We present a scheme that utilizes local counterdiabatic driving to provide fast and high-fidelity state preparation in Jaynes-Cummings lattices. We show that a multipartite W-state can be prepared with high fidelity using this method.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Jaynes-Cummings (JC) lattices can be constructed by connecting quantum two-level systems with cavities and have been widely studied for polariton many-body states and multipartite entanglement. Although adiabatic evolution has been studied for the generation of many-body states in this system, its reliance on long timescales can lead to serious decoherence. Here we present a scheme that utilizes local counterdiabatic (CD) driving to provide fast and high-fidelity state preparation in JC lattices. The exact CD Hamiltonian for this system contains nonlocal couplings between qubits and cavities at different and distant sites, which causes a challenge in the implementation. Leveraging the symmetries of the eigenstates under both periodic and open boundary conditions, we derive a local CD Hamiltonian that generates the same dynamics as the exact CD Hamiltonian and our numerical simulations confirm this result. We also show that a multipartite W-state can be prepared with high fidelity using this method. The implementation and decoherence of this scheme with superconducting quantum devices are also discussed.

Related papers

• Weak coupling limit for quantum systems with unbounded weakly commuting system operators [50.24983453990065]
  This work is devoted to a rigorous analysis of the weak coupling limit (WCL) for the reduced dynamics of an open infinite-dimensional quantum system interacting with electromagnetic field or a reservoir formed by Fermi or Bose particles.<n>We derive in the weak coupling limit the reservoir statistics, which is determined by whose terms in the multi-point correlation functions of the reservoir are non-zero in the WCL.<n>We prove that the resulting reduced system dynamics converges to unitary dynamics with a modified Hamiltonian which can be interpreted as a Lamb shift to the original Hamiltonian.
  arXiv  Detail & Related papers  (2025-05-13T05:32:34Z)
• Quantum Gibbs states are locally Markovian [1.9643748953805944]
  We show that for any Hamiltonian with a bounded interaction degree, the quantum Gibbs state is locally Markov at arbitrary temperature. We introduce a regularization scheme for imaginary-time-evolved operators at arbitrarily low temperatures.
  arXiv  Detail & Related papers  (2025-04-03T01:54:42Z)
• Rapid quantum ground state preparation via dissipative dynamics [3.3187923242469246]
  dissipation has become a promising approach for preparing low-energy states of quantum systems. However, the potential of dissipative protocols remains unclear beyond certain commuting Hamiltonians. This work provides significant analytical and numerical insights into the power of dissipation for preparing the ground state of non-commuting Hamiltonians.
  arXiv  Detail & Related papers  (2025-03-20T03:27:52Z)
• Programming optical-lattice Fermi-Hubbard quantum simulators [39.58317527488534]
  We develop ground-state preparation algorithms for different fermionic models. In particular, we first design variational, pre-compiled quantum circuits to prepare the ground state of the native Fermi-Hubbard model. We discuss how to approximate the imaginary-time evolution using variational fermionic circuits.
  arXiv  Detail & Related papers  (2025-02-07T16:40:58Z)
• Quantum State Transfer in Interacting, Multiple-Excitation Systems [41.94295877935867]
  Quantum state transfer (QST) describes the coherent passage of quantum information from one node to another. We describe Monte Carlo techniques which enable the discovery of a Hamiltonian that gives high-fidelity QST. The resulting Jaynes-Cummings-Hubbard and periodic Anderson models can, in principle, be engineered in appropriate hardware to give efficient QST.
  arXiv  Detail & Related papers  (2024-05-10T23:46:35Z)
• Neutron-nucleus dynamics simulations for quantum computers [49.369935809497214]
  We develop a novel quantum algorithm for neutron-nucleus simulations with general potentials. It provides acceptable bound-state energies even in the presence of noise, through the noise-resilient training method. We introduce a new commutativity scheme called distance-grouped commutativity (DGC) and compare its performance with the well-known qubit-commutativity scheme.
  arXiv  Detail & Related papers  (2024-02-22T16:33:48Z)
• Quantum Shortcut to Adiabaticity for State Preparation in a Finite-Sized Jaynes-Cummings Lattice [2.5688929644662926]
  In noisy quantum systems, achieving high-fidelity state preparation using the adiabatic approach faces a dilemma. We present a quantum shortcut to adiabaticity for state preparation in a finite-sized Jaynes-Cummings lattice by applying counter-diabatic (CD) driving.
  arXiv  Detail & Related papers  (2024-02-19T19:44:45Z)
• 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)
• Soliton Confinement in a Quantum Circuit [0.0]
  We analyze the confinement of sine-Gordon solitons into mesonic bound states in a one-dimensional quantum electronic circuit(QEC) array. The interactions occurring naturally in the QEC array, due to tunneling of Cooper-pairs and pairs of Cooper-pairs, give rise to a non-integrable, interacting, lattice model of quantum rotors.
  arXiv  Detail & Related papers  (2023-02-13T11:45:38Z)
• Growth of entanglement of generic states under dual-unitary dynamics [77.34726150561087]
  Dual-unitary circuits are a class of locally-interacting quantum many-body systems. In particular, they admit a class of solvable" initial states for which, in the thermodynamic limit, one can access the full non-equilibrium dynamics. We show that in this case the entanglement increment during a time step is sub-maximal for finite times, however, it approaches the maximal value in the infinite-time limit.
  arXiv  Detail & Related papers  (2022-07-29T18:20:09Z)
• Pulsed multireservoir engineering for a trapped ion with applications to state synthesis and quantum Otto cycles [68.8204255655161]
  Reservoir engineering is a remarkable task that takes dissipation and decoherence as tools rather than impediments. We develop a collisional model to implement reservoir engineering for the one-dimensional harmonic motion of a trapped ion. Having multiple internal levels, we show that multiple reservoirs can be engineered, allowing for more efficient synthesis of well-known non-classical states of motion.
  arXiv  Detail & Related papers  (2021-11-26T08:32:39Z)
• Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
  Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian. Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
  arXiv  Detail & Related papers  (2021-07-11T12:36:12Z)
• Counterdiabatic control of transport in a synthetic tight-binding lattice [0.0]
  We extend the tool of CD control to a discrete synthetic lattice system composed of as many as nine sites. Although this system has a vanishing gap and thus no adiabatic support in the thermodynamic limit, we show that CD approaches can still give a substantial, several order-of-magnitude, improvement in fidelity.
  arXiv  Detail & Related papers  (2020-05-14T15:07:38Z)
• Sub-system quantum dynamics using coupled cluster downfolding techniques [0.0]
  We discuss extending the sub-system embedding sub-algebra coupled cluster (SESCC) formalism and the double unitary coupled cluster (DUCC) Ansatz to the time domain. Using these formalisms, it is possible to calculate the energy of the entire system as an eigenvalue of downfolded/effective Hamiltonian in the active space. It can also be shown that downfolded Hamiltonians integrate out Fermionic degrees of freedom that do not correspond to the physics encapsulated by the active space.
  arXiv  Detail & Related papers  (2020-03-21T03:11:10Z)

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.