Error of an arbitrary single-mode Gaussian transformation on a weighted cluster state using a cubic phase gate
arXiv:2207.09548 · doi:10.1103/PhysRevA.106.032414
Abstract
In this paper, we propose two strategies for decreasing the error of arbitrary single-mode Gaussian transformations implemented using one-way quantum computation on a four-node linear cluster state. We show that it is possible to minimize the error of the arbitrary single-mode Gaussian transformation by a proper choice of the weight coefficients of the cluster state. We modify the computation scheme by adding a non-Gaussian state obtained using a cubic phase gate as one of the nodes of the cluster. This further decreases the computation error. We evaluate the efficiencies of the proposed optimization schemes comparing the probabilities of the error correction of the quantum computations with and without optimizations. We have shown that for some transformations, the error probability can be reduced by up to 900 times.
arXiv comment14 pages, 8 figures
References in corpus (44)
- Encoding a qubit in an oscillator
- Quantum computation over continuous variables
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Universal Quantum Computation with Continuous-Variable Cluster States
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
- Time-Domain Multiplexed 2-Dimensional Cluster State: Universal Quantum Computing Platform
- Deterministic generation of a two-dimensional cluster state
- Continuous-variable teleportation improvement by photon subtraction via conditional measurement
- Cluster-state quantum computation
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Quantum Computing with Continuous-Variable Clusters
- A No-Go Theorem for Gaussian Quantum Error Correction
- Cluster States for Continuous-Variable Multipartite Entanglement
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Experimental generation of four-mode continuous-variable cluster states
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Fault-tolerant bosonic quantum error correction with the surface-GKP code
- High-threshold fault-tolerant quantum computation with analog quantum error correction
- Implementation of a quantum cubic gate by adaptive non-Gaussian measurement
- Ultracompact Generation of Continuous-Variable Cluster States
- A fault-tolerant continuous-variable measurement-based quantum computation architecture
- Non-Gaussian states for continuous variable quantum computation via Gaussian maps
- Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
- Low overhead fault-tolerant quantum error correction with the surface-GKP code
- Full characterization of a highly multimode entangled state embedded in an optical frequency comb using pulse shaping
- Repeat-until-success cubic phase gate for universal continuous-variable quantum computation
- Universal Gate Set for Continuous-Variable Quantum Computation with Microwave Circuits
- Generation and characterization of resource state for nonlinear cubic phase gate
- Fault-tolerant quantum computation with static linear optics
- Universal linear Bogoliubov transformations through one-way quantum computation
- Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
- Compact Gaussian quantum computation by multi-pixel homodyne detection
- Generation of cluster states in optomechanical quantum systems
- Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states
- Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states
- Gaussian conversion protocols for cubic phase state generation
- Nonlinear squeezing for measurement-based non-Gaussian operations in time domain
- Wave-function engineering via conditional quantum teleportation with non-Gaussian entanglement resource
- Teleportation with a cubic phase gate
- Correcting finite squeezing errors in continuous-variable cluster states
- Composite Cluster States and Alternative Architectures for One- Way Quantum Computation
- CZ vs Beam Splitter: errors of entangled operations