Homodyne measurement with a Schrödinger cat state as a local oscillator
arXiv:2207.10210 · doi:10.1103/PhysRevA.106.063706
Abstract
Homodyne measurements are a widely used quantum measurement. Using a coherent state of large amplitude as the local oscillator, it can be shown that the quantum homodyne measurement limits to a field quadrature measurement. In this work, we give an example of a general idea: injecting non-classical states as a local oscillator can led to non-classical measurements. Specifically we consider injecting a superposition of coherent states, a Schrödinger cat state, as a local oscillator. We derive the Kraus operators and the positive operator-valued measure (POVM) in this situation.
References in corpus (23)
- Quantum information with continuous variables
- Detection of 15 dB Squeezed States of Light and their Application for the Absolute Calibration of Photoelectric Quantum Efficiency
- Resolving photon number states in a superconducting circuit
- Implementing a Universal Gate Set on a Logical Qubit Encoded in an Oscillator
- Generation of Optical Coherent State Superpositions by Number-Resolved Photon Subtraction from Squeezed Vacuum
- Conditional Production of Superpositions of Coherent States with Inefficient Photon Detection
- Breeding the optical Schroedinger's cat state
- Universal Control of an Oscillator with Dispersive Coupling to a Qubit
- Schemes for the observation of photon correlation functions in circuit QED with linear detectors
- Versatile Wideband Balanced Detector for Quantum Optical Homodyne Tomography
- Quantum Filtering (Quantum Trajectories) for Systems Driven by Fields in Single Photon States and Superposition of Coherent States
- Quantum error correction using squeezed Schrödinger cat states
- Multimode theory of measurement-induced non-Gaussian operation on wideband squeezed light
- Amplification of realistic cat-like states by homodyne heralding
- Operational Theory of Homodyne Detection
- Operational formulation of homodyne detection
- Engineering Schrödinger cat states with a photonic even-parity detector
- Tuning between photon-number and quadrature measurements with weak-field homodyne detection
- Schrödinger's cat in an optical sideband
- Homodyne tomography with homodyne-like detection
- Homodyne detection with on-off detector systems
- On the moment limit of quantum observables, with an application to the balanced homodyne detection
- Quantum trajectories for environment in superposition of coherent states