Low-Latency Digital Signal Processing for Feedback and Feedforward in Quantum Computing and Communication

Abstract

Quantum computing architectures rely on classical electronics for control and readout. Employing classical electronics in a feedback loop with the quantum system allows to stabilize states, correct errors and to realize specific feedforward-based quantum computing and communication schemes such as deterministic quantum teleportation. These feedback and feedforward operations are required to be fast compared to the coherence time of the quantum system to minimize the probability of errors. We present a field programmable gate array (FPGA) based digital signal processing system capable of real-time quadrature demodulation, determination of the qubit state and generation of state-dependent feedback trigger signals. The feedback trigger is generated with a latency of $110\mathrm{ns}$ with respect to the timing of the analog input signal. We characterize the performance of the system for an active qubit initialization protocol based on dispersive readout of a superconducting qubit and discuss potential applications in feedback and feedforward algorithms.

20 pages, 8 figures

References in corpus (39)

• Experimental quantum teleportation
• Charge insensitive qubit design derived from the Cooper pair box
• Surface codes: Towards practical large-scale quantum computation
• An addressable quantum dot qubit with fault-tolerant control fidelity
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Quantum teleportation using active feed-forward between two Canary Islands
• Amplification and squeezing of quantum noise with a tunable Josephson metamaterial
• Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
• Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
• Unconditional quantum teleportation between distant solid-state qubits
• Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
• 10-qubit entanglement and parallel logic operations with a superconducting circuit
• Observation of quantum jumps in a superconducting artificial atom
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• Strong Coupling of a Single Electron in Silicon to a Microwave Photon
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Single-shot qubit readout in circuit Quantum Electrodynamics
• Fast Reset and Suppressing Spontaneous Emission of a Superconducting Qubit
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• Strong Coupling Cavity QED with Gate-Defined Double Quantum Dots Enabled by a High Impedance Resonator
• Demonstrating a Driven Reset Protocol of a Superconducting Qubit
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Quantum limited amplification and entanglement in coupled nonlinear resonators
• Initialization by measurement of a two-qubit superconducting circuit
• Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
• A superconducting qubit with Purcell protection and tunable coupling
• Characterizing Quantum Microwave Radiation and its Entanglement with Superconducting Qubits using Linear Detectors
• Measurement-induced qubit state mixing in circuit QED from up-converted dephasing noise
• Frequency Division Multiplexing Readout and Simultaneous Manipulation of an Array of Flux Qubits
• Density-matrix simulation of small surface codes under current and projected experimental noise
• Josephson parametric phase-locked oscillator and its application to dispersive readout of superconducting qubits
• Hardware for Dynamic Quantum Computing
• Coherent versus measurement feedback: Linear systems theory for quantum information
• Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
• Multiplexed Readout of Transmon Qubits with Josephson Bifurcation Amplifiers
• Single-sideband modulator for frequency domain multiplexing of superconducting qubit readout
• Optimal signal processing for continuous qubit readout

Cited by in corpus (33)

• Circuit Quantum Electrodynamics
• Superconducting Quantum Computing: A Review
• Rapid high-fidelity multiplexed readout of superconducting qubits
• Fast and Unconditional All-Microwave Reset of a Superconducting Qubit
• Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
• Tutorial: Gate-based superconducting quantum computing
• Encoding a magic state with beyond break-even fidelity
• Entanglement Stabilization using Parity Detection and Real-Time Feedback in Superconducting Circuits
• Scalable High-Performance Fluxonium Quantum Processor
• Rapid and Unconditional Parametric Reset Protocol for Tunable Superconducting Qubits
• QubiC: An open source FPGA-based control and measurement system for superconducting quantum information processors
• Demonstration of an All-Microwave Controlled-Phase Gate between Far Detuned Qubits
• Realizing a deep reinforcement learning agent discovering real-time feedback control strategies for a quantum system
• Optimizing resource efficiencies for scalable full-stack quantum computers
• Scalable Hardware-Efficient Qubit Control with Single Flux Quantum Pulse Sequences
• Scaling Qubit Readout with Hardware Efficient Machine Learning Architectures
• FPGA-based electronic system for the control and readout of superconducting quantum processors
• Accelerating the assembly of defect-free atomic arrays with maximum parallelisms
• Tunable refrigerator for non-linear quantum electric circuits
• ICARUS-Q: Integrated Control and Readout Unit for Scalable Quantum Processors
• Anti-crosstalk high-fidelity state discrimination for superconducting qubits
• Key Issues Review: Useful autonomous quantum machines
• Efficient initialization of fluxonium qubits based on auxiliary energy levels
• A simultaneous feedback and feed-forward control and its application to realize a random walk on the Bloch sphere in a superconducting Xmon-qubit system
• Speeding up qubit control with bipolar single-flux-quantum pulse sequences
• Exploiting dynamic quantum circuits in a quantum algorithm with superconducting qubits
• Improving Quantum Simulation Efficiency of Final State Radiation with Dynamic Quantum Circuits
• Multi-Purpose Architecture for Fast Reset and Protective Readout of Superconducting Qubits
• Radio frequency mixing modules for superconducting qubit room temperature control systems
• Realizing a Continuous Set of Two-Qubit Gates Parameterized by an Idle Time
• Realization of Constant-Depth Fan-Out with Real-Time Feedforward on a Superconducting Quantum Processor
• Quantum coherent feedback control of an N-level atom with multiple excitations
• Measurement and control of a superconducting quantum processor with a fully-integrated radio-frequency system on a chip