Quantum state preparation via engineered ancilla resetting

Abstract

In this theoretical investigation, we study the effectiveness of a protocol that incorporates periodic quantum resetting to prepare ground states of frustration-free parent Hamiltonians. This protocol uses a steering Hamiltonian that enables local coupling between the system and ancillary degrees of freedom. At periodic intervals, the ancillary system is reset to its initial state. For infinitesimally short reset times, the dynamics can be approximated by a Lindbladian whose steady state is the target state. For finite reset times, however, the spin chain and the ancilla become entangled between reset operations. To evaluate the performance of the protocol, we employ Matrix Product State simulations and quantum trajectory techniques, focusing on the preparation of the spin-1 Affleck-Kennedy-Lieb-Tasaki state. Our analysis considers convergence time, fidelity, and energy evolution under different reset intervals. Our numerical results show that ancilla system entanglement is essential for faster convergence. In particular, there exists an optimal reset time at which the protocol performs best. Using a simple approximation, we provide insights into how to optimally choose the mapping operators applied to the system during the reset procedure. Furthermore, the protocol shows remarkable resilience to small deviations in reset time and dephasing noise. Our study suggests that stroboscopic maps using quantum resetting may offer advantages over alternative methods, such as quantum reservoir engineering and quantum state steering protocols, which rely on Markovian dynamics.

References in corpus (36)

• Quantum Computing in the NISQ era and beyond
• Adiabatic Quantum Computing
• Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
• Suppressing quantum errors by scaling a surface code logical qubit
• Entanglement and non-Markovianity of quantum evolutions
• Quantum trajectories and open many-body quantum systems
• Real-time quantum feedback prepares and stabilizes photon number states
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Sequential generation of entangled multi-qubit states
• Detection of Symmetry Protected Topological Phases in 1D
• Deterministic entanglement of superconducting qubits by parity measurement and feedback
• One-Dimensional Symmetry Protected Topological Phases and their Transitions
• Full control by locally induced relaxation
• Stabilizing Open Quantum Systems by Markovian Reservoir Engineering
• Fast Quantum Modular Exponentiation
• Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
• Generation of EPR-entangled radiation through an atomic reservoir
• Designing quantum memories with embedded control: photonic circuits for autonomous quantum error correction
• Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Separable states can be used to distribute entanglement
• Quantum dynamics with stochastic reset
• Measurement-induced steering of quantum systems
• Path-integral formalism for stochastic resetting: Exactly solved examples and shortcuts to confinement
• Asymptotic Floquet states of open quantum systems: The role of interaction
• Engineering Atomic Quantum Reservoirs for Photons
• Deterministic constant-depth preparation of the AKLT state on a quantum processor using fusion measurements
• Restart expedites quantum walk hitting times
• Dissipative quantum control of a spin chain
• Entangling power and quantum circuit complexity
• Deterministic generation of remote entanglement with active quantum feedback
• Spectral gaps of AKLT Hamiltonians using Tensor Network methods
• Backaction driven, robust, steady-state long-distance qubit entanglement over lossy channels
• Mediated Homogenization
• Linear and logarithmic time compositions of quantum many-body operators
• Symmetry-protected dissipative preparation of matrix product states
• Laser cooling of single trapped atoms to the ground state: a dark state in position space

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• Controlling the dynamics of atomic correlations via the coupling to a dissipative cavity
• Quantum feedback induced entanglement relaxation and dynamical phase transition in monitored free fermion chains with Wannier-Stark ladder
• Efficient Quantum Cooling Algorithm for Fermionic Systems
• Demonstration of system-bath physics on a gate-based quantum computer
• Free-Fermion Dynamics with Measurements: Topological Classification and Adaptive Preparation of Topological States
• Decoherence Cancellation through Noise Interference
• Generation of Volume-Law Entanglement by Local-Measurement-Only Quantum Dynamics
• Learning Feedback Mechanisms for Measurement-Based Variational Quantum State Preparation
• Nonadiabatic Self-Healing of Trotter Errors in Digitized Counterdiabatic Dynamics