Digital homodyne and heterodyne detection for stationary bosonic modes

Abstract

Homo- and heterodyne detection are fundamental techniques for measuring propagating electromagnetic fields. However, applying these techniques to stationary fields confined in cavities poses a challenge. As a way to overcome this challenge, we propose to use repeated indirect measurements of a two-level system interacting with the cavity. We demonstrate numerically that the proposed measurement scheme faithfully reproduces measurement statistics of homo- or heterodyne detection at the single-shot level. The scheme can be implemented in various physical architectures, including circuit quantum electrodynamics. Our results pave the way to the implementation of quantum algorithms requiring linear detection, including quantum verification protocols, in stationary modes.

References in corpus (47)

• Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
• QuTiP 2: A Python framework for the dynamics of open quantum systems
• Universal Quantum Computation with Continuous-Variable Cluster States
• Resolving photon number states in a superconducting circuit
• Real-time quantum error correction beyond break-even
• Quantum Computing with Continuous-Variable Clusters
• Realizing Rapid, High-Fidelity, Single-Shot Dispersive Readout of Superconducting Qubits
• A simple model of quantum trajectories
• Quantum collision models: open system dynamics from repeated interactions
• Fast and Unconditional All-Microwave Reset of a Superconducting Qubit
• Direct measurement of the Wigner function by photon counting
• Deterministic remote entanglement of superconducting circuits through microwave two-photon transitions
• Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
• Collision-model-based approach to non-Markovian quantum dynamics
• Quantum information processing with bosonic qubits in circuit QED
• Schrodinger's catapult: Launching multiphoton quantum states from a microwave cavity memory
• Quantum state preparation, tomography, and entanglement of mechanical oscillators
• Characterizing Quantum Microwave Radiation and its Entanglement with Superconducting Qubits using Linear Detectors
• Encoding a Qubit into a Cavity Mode in Circuit-QED using Phase Estimation
• Reliable quantum certification for photonic quantum technologies
• Qubit models of weak continuous measurements
• Microwave-Induced Amplitude and Phase Tunable Qubit-Resonator Coupling in Circuit Quantum Electrodynamics
• Collision models in quantum optics
• A discrete invitation to quantum filtering and feedback control
• Transmon qubit readout fidelity at the threshold for quantum error correction without a quantum-limited amplifier
• Collision models in open system dynamics: A versatile tool for deeper insights?
• Robust preparation of Wigner-negative states with optimized SNAP-displacement sequences
• Convergence of repeated quantum non-demolition measurements and wave function collapse
• Existence, uniqueness and approximation of a stochastic Schrödinger equation: the diffusive case
• Scattering into one-dimensional waveguides from a coherently-driven quantum-optical system
• Certification of non-Gaussian states with operational measurements
• Boson sampling with Gaussian measurements
• Continuous-Variable Sampling from Photon-Added or Photon-Subtracted Squeezed States
• Number-resolved photocounter for propagating microwave mode
• Repeated quantum non-demolition measurements: convergence and continuous-time limit
• Generating Nonclassical Quantum Input Field States with Modulating Filters
• Comment on "Loss-error compensation in quantum-state measurements"
• The Open Quantum Brownian Motion
• Large Time Behaviour and Convergence Rate for Non Demolition Quantum Trajectories
• Measurement of a Vacuum-Induced Geometric Phase
• Iterated Stochastic Measurements
• Quantum trajectories for a system interacting with environment in N-photon state
• Simple, reliable and noise-resilient continuous-variable quantum state tomography with convex optimization
• Stochastic simulations of conditional states of partially observed systems, quantum and classical
• Efficient ion-photon qubit SWAP gate in realistic ion cavity-QED systems without strong coupling
• Classical Coding and the Cauchy-Schwarz Inequality
• Deterministic preparation of superpositions of vacuum plus one photon by adaptive homodyne detection: experimental considerations

Cited by in corpus (4)

• Hybrid Oscillator-Qubit Quantum Processors: Instruction Set Architectures, Abstract Machine Models, and Applications
• Sequential Quantum Measurements and the Instrumental Group Algebra
• Gate-Based Microwave Quantum Repeater Via Grid-State Encoding
• Sequential information theoretic protocols in continuous variable systems