Optimally robust shortcuts to population inversion in cat-state qubits
arXiv:2408.00464 · doi:10.1364/oe.569776
Abstract
Cat-state qubits formed by photonic coherent states are a promising candidate for realizing fault-tolerant quantum computing. Such logic qubits have a biased noise channel that the bit-flip error dominates over all the other errors. In this manuscript, we propose an optimally robust protocol using the control method of shortcuts to adiabaticity to realize a nearly perfect population inversion in a cat-state qubit. We construct a shortcut based on the Lewis-Riesenfeld invariant and examine the stability versus different types of perturbations for the fast and robust population inversion. Numerical simulations demonstrate that the population inversion can be mostly insensitive to systematic errors in our protocol. Even when the parameter imperfection rate for bit-flip control is , the final population of the target state can still reach . The optimally robust control provides a feasible method for fault-tolerant and scalable quantum computation.
19 pages, 10 figures, comments are welcome
References in corpus (58)
- Charge insensitive qubit design derived from the Cooper pair box
- A Quantum Engineer's Guide to Superconducting Qubits
- Superconducting Qubits: Current State of Play
- Microwave photonics with superconducting quantum circuits
- Shortcuts to adiabaticity: concepts, methods, and applications
- Quantum computation with optical coherent states
- Shortcut to adiabatic passage in two and three level atoms
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Confining the state of light to a quantum manifold by engineered two-photon loss
- The Kerr-Cat Qubit: Stabilization, Readout, and Gates
- Lewis-Riesenfeld invariants and transitionless tracking algorithm
- Optimally robust shortcuts to population inversion in two-level quantum systems
- Engineering the quantum states of light in a Kerr-nonlinear resonator by two-photon driving
- Building a fault-tolerant quantum computer using concatenated cat codes
- Demonstration of quantum error correction and universal gate set on a binomial bosonic logical qubit
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Low-decoherence flux qubit
- Accelerated quantum control using superadiabatic dynamics in a solid-state lambda system
- Multiple Schrödinger pictures and dynamics in shortcuts to adiabaticity
- Experimental realization of stimulated Raman shortcut-to-adiabatic passage with cold atoms
- Fault-tolerant quantum computation against biased noise
- Bosonic quantum error correction codes in superconducting quantum circuits
- Shortcuts to Adiabaticity for the Quantum Rabi Model: Efficient Generation of Giant Entangled cat States via Parametric Amplification
- Bias-preserving gates with stabilized cat qubits
- Beating the break-even point with a discrete-variable-encoded logical qubit
- Coherent oscillations inside a quantum manifold stabilized by dissipation
- Stabilized Cat in Driven Nonlinear Cavity: A Fault-Tolerant Error Syndrome Detector
- Shortcut to Adiabaticity in the Lipkin-Meshkov-Glick Model
- Superconducting quantum node for entanglement and storage of microwave radiation
- Parametric resonance in tunable superconducting cavities
- Tutorial: Gate-based superconducting quantum computing
- Quantum control of bosonic modes with superconducting circuits
- Stabilizing a Bell state of two superconducting qubits by dissipation engineering
- Holonomic quantum control with continuous variable systems
- Generating Large Cats with Nine Lives: Long-Lived Macroscopically Distinct Superposition States in Atomic Ensembles
- Quantum bits with Josephson junctions
- Quantum dynamics of a few-photon parametric oscillator
- Pair-cat codes: autonomous error-correction with low-order nonlinearity
- Emission of photon pairs by mechanical stimulation of the squeezed vacuum
- Nonadiabatic geometric quantum computation with cat qubits via invariant-based reverse engineering
- Quantum control of a cat-qubit with bit-flip times exceeding ten seconds
- Demonstration of Controlled-Phase Gates between Two Error-Correctable Photonic Qubits
- Protecting conditional quantum gates by robust dynamical decoupling
- Observation of a superradiant phase transition with emergent cat states
- Shortcuts to Adiabaticity in Krylov Space
- Shortcuts to Adiabatic Pumping in Classical Stochastic Systems
- Degeneracy-preserving quantum non-demolition measurement of parity-type observables for cat-qubits
- Fast and high-fidelity generation of steady-state entanglement using pulse modulation and parametric amplification
- Strong Spin Squeezing Induced by Weak Squeezing of Light inside a Cavity
- Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits
- Shortcuts to adiabatic cat-state generation in bosonic Josephson junctions
- Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model
- Two-photon driven Kerr quantum oscillator with multiple spectral degeneracies
- Quantum state engineering by shortcuts-to-adiabaticity in interacting spin-boson systems
- Designing High-Fidelity Zeno Gates for Dissipative Cat Qubits
- High-efficiency arbitrary quantum operation on a high-dimensional quantum system
- An ultra-high gain single-photon transistor in the microwave regime
- Non-Markovian environment induced Schrödinger cat state transfer in an optical Newton's cradle