Universal quantum computation with optical four-component cat qubits

Abstract

We propose a teleportation-based scheme to implement a universal set of quantum gates with a four-component cat code, assisted by appropriate entangled resource states and photon number resolving detection. The four-component cat code features the ability to recover from single photon loss. Here, we propose a concrete procedure to correct the single photon loss, including detecting the single photon loss event and recovering the initial states. By concatenating with standard qubit error correcting codes, we estimate the loss threshold for fault-tolerant quantum computation and obtain a significant improvement over the two-component cat code.

arXiv comment5+22 pages, 5 figures, comments are welcome

References in corpus (28)

• Fault-tolerant quantum computation by anyons
• Mixed State Entanglement and Quantum Error Correction
• Quantum Computing
• Surface codes: Towards practical large-scale quantum computation
• Encoding a qubit in an oscillator
• Quantum computation with optical coherent states
• Dynamically protected cat-qubits: a new paradigm for universal quantum computation
• Maintaining coherence in Quantum Computers
• Macroscopically distinct quantum superposition states as a bosonic code for amplitude damping
• New class of quantum error-correcting codes for a bosonic mode
• Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
• Performance and structure of single-mode bosonic codes
• Fault-tolerant linear optical quantum computing with small-amplitude coherent states
• Hardware-efficient autonomous quantum error correction
• Noise-free high-efficiency photon-number-resolving detectors
• Bias-preserving gates with stabilized cat qubits
• Fault-tolerant bosonic quantum error correction with the surface-GKP code
• Repetition Cat Qubits for Fault-Tolerant Quantum Computation
• High-threshold fault-tolerant quantum computation with analog quantum error correction
• Quantum computing with rotation-symmetric bosonic codes
• Quantum Error Correction with the Toric-GKP Code
• Near-deterministic quantum teleportation and resource-efficient quantum computation using linear optics and hybrid qubits
• Conversion of Gaussian states to non-Gaussian states using photon-number-resolving detectors
• Multiphoton Quantum-State Engineering using Conditional Measurements
• Quantum error correction against photon loss using multi-component cat states
• Production of photonic universal quantum gates enhanced by machine learning
• Quantum tele-amplification with a continuous variable superposition state
• Evaluating Performance of Photon-Number-Resolving Detectors

Cited by in corpus (10)

• Fault-tolerant quantum computation by hybrid qubits with bosonic cat-code and single photons
• Memoryless quantum repeaters based on cavity-QED and coherent states
• Method to deterministically generate large-amplitude optical cat states
• The Multimode Character of Quantum States Released from a Superconducting Cavity
• Error suppression in multicomponent cat codes with photon subtraction and teleamplification
• Catability as a metric for evaluating superposed coherent states
• Engineering propagating cat states with driving-assisted cavity QED
• Entanglement, loss, and quantumness: When balanced beam splitters are best
• Photonic Hybrid Quantum Computing
• Linear-optical protocols for mitigating and suppressing noise in bosonic systems