Equivalent noise properties of scalable continuous-variable cluster states
arXiv:2305.11630 · doi:10.1103/PhysRevA.108.042602
Abstract
Optical continuous-variable cluster states (CVCSs) in combination with Gottesman-Kitaev-Preskill~(GKP) qubits enable fault-tolerant quantum computation so long as these resources are of high enough quality. Previous studies concluded that a particular CVCS, the quad rail lattice~(QRL), exhibits lower GKP gate-error rate than others do. We show in this work that many other experimentally accessible CVCSs also achieve this level of performance by identifying operational equivalences to the QRL. Under this equivalence, the GKP Clifford gate set for each CVCS maps straightforwardly from that of the QRL, inheriting its noise properties. Furthermore, each cluster state has at its heart a balanced four-splitter -- the four-mode extension to a balanced beam splitter. We classify all four-splitters, show they form a single equivalence class under SWAP and parity operators, and we give a construction of any four-splitter with linear optics, thus extending the toolbox for theoretical and experimental cluster-state design and analysis.
arXiv comment25 pages, 6 figures
References in corpus (37)
- Encoding a qubit in an oscillator
- Universal Quantum Computation with Continuous-Variable Cluster States
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- 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
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Quantum Computing with Continuous-Variable Clusters
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Graphical calculus for Gaussian pure states
- All-Gaussian universality and fault tolerance with the Gottesman-Kitaev-Preskill code
- High-threshold fault-tolerant quantum computation with analog quantum error correction
- Quantum computing with rotation-symmetric bosonic codes
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Temporal-mode continuous-variable cluster states using linear optics
- Single-Mode Displacement Sensor
- A fault-tolerant continuous-variable measurement-based quantum computation architecture
- Limitations of quantum computing with Gaussian cluster states
- Continuous-variable gate teleportation and bosonic-code error correction
- One-hundred step measurement-based quantum computation multiplexed in the time domain with 25 MHz clock frequency
- Fault-tolerant quantum computation with static linear optics
- One-way quantum computing with arbitrarily large time-frequency continuous-variable cluster states from a single optical parametric oscillator
- The Optical Frequency Comb as a One-Way Quantum Computer
- Universal quantum computation with temporal-mode bilayer square lattices
- Quantum-Computing Architecture based on Large-Scale Multi-Dimensional Continuous-Variable Cluster States in a Scalable Photonic Platform
- Robust fault tolerance for continuous-variable cluster states with excess anti-squeezing
- Weaving quantum optical frequency combs into continuous-variable hypercubic cluster states
- Noise analysis of single-qumode Gaussian operations using continuous-variable cluster states
- Examples of Gaussian cluster computation
- Architecture and noise analysis of continuous-variable quantum gates using two-dimensional cluster states
- Flexible quantum circuits using scalable continuous-variable cluster states
- Continuous-variable error correction for general Gaussian noises
- Spatiotemporal graph states from a single optical parametric oscillator
- Streamlined quantum computing with macronode cluster states
- Hidden qubit cluster states
- Ancilla-free continuous-variable SWAP test