Quantum Volume for Photonic Quantum Processors
arXiv:2208.11724 · doi:10.1103/PhysRevLett.130.110602
Abstract
Defining metrics for near-term quantum computing processors has been an integral part of the quantum hardware research and development efforts. Such quantitative characteristics are not only useful for reporting the progress and comparing different quantum platforms, but also essential for identifying the bottlenecks and designing a technology roadmap. Most metrics such as randomized benchmarking and quantum volume were originally introduced for circuit-based quantum computers and were not immediately applicable to measurement-based quantum computing (MBQC) processors such as in photonic devices. In this paper, we close this gap by presenting a framework to map physical noises and imperfections in MBQC processes to logical errors in equivalent quantum circuits, whereby enabling the well-known metrics to characterize MBQC. To showcase our framework, we study a continuous-variable cluster state based on the Gottesman-Kitaev-Preskill (GKP) encoding as a near-term candidate for photonic quantum computing, and derive the effective logical gate error channels and calculate the quantum volume in terms of the GKP squeezing and photon loss rate.
arXiv comment5 pages, 3 figures, 2 appendices
References in corpus (58)
- Fault-tolerant quantum computation by anyons
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Variational Quantum Algorithms
- Photonic quantum technologies
- Measurement-based quantum computation with cluster states
- Encoding a qubit in an oscillator
- Superconducting Qubits: Current State of Play
- Error mitigation for short-depth quantum circuits
- Trapped-Ion Quantum Computing: Progress and Challenges
- Quantum computation over continuous variables
- Measurement-based quantum computation
- 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
- Robust randomized benchmarking of quantum processes
- A simple formula for the average gate fidelity of a quantum dynamical operation
- Validating quantum computers using randomized model circuits
- Topological fault-tolerance in cluster state quantum computation
- Ultra-Large-Scale Continuous-Variable Cluster States Multiplexed in the Time Domain
- Demonstration of the trapped-ion quantum-CCD computer architecture
- Hybrid quantum-classical algorithms and quantum error mitigation
- Boson sampling with 20 input photons in 60-mode interferometers at state spaces
- Wavelength-Multiplexed Quantum Networks with Ultrafast Frequency Combs
- Experimental realization of multipartite entanglement of 60 modes of a quantum optical frequency comb
- Phase-Programmable Gaussian Boson Sampling Using Stimulated Squeezed Light
- Quantum error correction of a qubit encoded in grid states of an oscillator
- A fault-tolerant one-way quantum computer
- Encoding a qubit in a trapped-ion mechanical oscillator
- Sparse Graph Codes for Quantum Error-Correction
- Fault-Tolerant Measurement-Based Quantum Computing with Continuous-Variable Cluster States
- Quantum Low-Density Parity-Check Codes
- Performance and structure of single-mode bosonic codes
- Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
- Parallel generation of quadripartite cluster entanglement in the optical frequency comb
- Perspective: Toward large-scale fault-tolerant universal photonic quantum computing
- Generation of one-million-mode continuous-variable cluster state by unlimited time-domain multiplexing
- Efficient Distributed Quantum Computing
- Gate Set Tomography
- Fault-tolerant bosonic quantum error correction with the surface-GKP code
- High-threshold fault-tolerant quantum computation with analog quantum error correction
- Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes
- Improved quantum capacity bounds of Gaussian loss channels and achievable rates with Gottesman-Kitaev-Preskill codes
- Quantum Error Correction with the Gottesman-Kitaev-Preskill Code
- Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
- Demonstration of a quantum nondemolition sum gate
- Parallelizing Quantum Circuits
- A fault-tolerant continuous-variable measurement-based quantum computation architecture
- Continuous-variable gate teleportation and bosonic-code error correction
- Fault-tolerant preparation of approximate GKP states
- Engineering a Kerr-based Deterministic Cubic Phase Gate via Gaussian Operations
- Modular Bosonic Subsystem Codes
- Equivalence of approximate Gottesman-Kitaev-Preskill codes
- Re-examining the quantum volume test: Ideal distributions, compiler optimizations, confidence intervals, and scalable resource estimations
- Weaving quantum optical frequency combs into continuous-variable hypercubic cluster states
- Non-Clifford gate on optical qubits by nonlinear feedforward
- Quantum Nondemolition Gate Operations and Measurements in Real Time on Fluctuating Signals
- Streamlined quantum computing with macronode cluster states
- Measurement-Based Time Evolution for Quantum Simulation of Fermionic Systems
- A high-fidelity and large-scale reconfigurable photonic processor for NISQ applications