Fault-tolerant multiqubit geometric entangling gates using photonic cat-state qubits

Abstract

We propose a theoretical protocol to implement multiqubit geometric gates (i.e., the Mølmer-Sørensen gate) using photonic cat-state qubits. These cat-state qubits stored in high-$Q$ resonators are promising for hardware-efficient universal quantum computing. Specifically, in the limit of strong two-photon drivings, phase-flip errors of the cat-state qubits are effectively suppressed, leaving only a bit-flip error to be corrected. Because this dominant error commutes with the evolution operator, our protocol preserves the error bias, and, thus, can lower the code-capacity threshold for error correction. A geometric evolution guarantees the robustness of the protocol against stochastic noise along the evolution path. Moreover, by changing detunings of the cavity-cavity couplings at a proper time, the protocol can be robust against parameter imperfections (e.g., the total evolution time) without introducing extra noises into the system. As a result, the gate can produce multi-mode entangled cat states in a short time with high fidelities.

16 pages, 8 figures

References in corpus (20)

• Supplementary information for "Quantum supremacy using a programmable superconducting processor"
• Charge insensitive qubit design derived from the Cooper pair box
• Surface codes: Towards practical large-scale quantum computation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Quantum computational advantage using photons
• Microwave photonics with superconducting quantum circuits
• Quantum computing with trapped ions
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Confining the state of light to a quantum manifold by engineered two-photon loss
• Fidelity of quantum operations
• Low-decoherence flux qubit
• Implementation of low-loss superinductances for quantum circuits
• Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon
• Selective coupling of superconducting qubits via tunable stripline cavity
• Deterministic entanglement of ions in thermal states of motion
• Unconventional geometric quantum phase gates with a cavity QED system
• Continuous-variable geometric phase and its manipulation for quantum computation in a superconducting circuit
• Quantum dynamics of a few-photon parametric oscillator
• Purity and State Fidelity of Quantum Channels via Hamiltonians
• Fast dynamical decoupling of the Molmer-Sorensen entangling gate

Cited by in corpus (11)

• Approximate Autonomous Quantum Error Correction with Reinforcement Learning
• Error-Tolerant Amplification and Simulation of the Ultrastrong-Coupling Quantum Rabi Model
• Control of the $ZZ$ coupling between Kerr-cat qubits via transmon couplers
• Preparation of high fidelity entangled cat states with composite pulses
• Simultaneous preparation of two optical cat states based on a nondegenerate optical parametric amplifier
• Proposal of ensemble qubits with two-atom decay
• Optimally robust shortcuts to population inversion in cat-state qubits
• Optimizing for an arbitrary Schrödinger cat state
• Residual-$ZZ$-coupling suppression and fast two-qubit gate for Kerr-cat qubits based on level-degeneracy engineering
• Quantum voting machine encoded with microwave photons
• Geometric and holonomic quantum computation