Time-Continuous Bell Measurements
arXiv:1303.4976 · doi:10.1103/PhysRevLett.111.170404
Abstract
We combine the concept of Bell measurements, in which two systems are projected into a maximally entangled state, with the concept of continuous measurements, which concerns the evolution of a continuously monitored quantum system. For such time-continuous Bell measurements we derive the corresponding stochastic Schrödinger equations, as well as the unconditional feedback master equations. Our results apply to a wide range of physical systems, and are easily adapted to describe an arbitrary number of systems and measurements. Time-continuous Bell measurements therefore provide a versatile tool for the control of complex quantum systems and networks. As examples we show show that (i) two two-level systems can be deterministically entangled via homodyne detection, tolerating photon loss up to 50%, and (ii) a quantum state of light can be continuously teleported to a mechanical oscillator, which works under the same conditions as are required for optomechanical ground state cooling.
4+4 pages, 4 figures
References in corpus (22)
- Experimental quantum teleportation
- Sideband Cooling Micromechanical Motion to the Quantum Ground State
- Quantum Theory of Cavity-Assisted Sideband Cooling of Mechanical Motion
- Theory of ground state cooling of a mechanical oscillator using dynamical back-action
- Quantum teleportation between light and matter
- A Straightforward Introduction to Continuous Quantum Measurement
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- Observation of Radiation Pressure Shot Noise on a Macroscopic Object
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Macroscopic Quantum Mechanics: Theory and Experimental Concepts of Optomechanics
- High-sensitivity optical monitoring of a micro-mechanical resonator with a quantum-limited optomechanical sensor
- Robust creation of entanglement between ions in spatially separate cavities
- Optically Levitating Dielectrics in the Quantum Regime: Theory and Protocols
- Optical dilution and feedback cooling of a gram-scale oscillator to 6.9 mK
- Quantum Capacities of Bosonic Channels
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Cavity-Assisted Back Action Cooling of Mechanical Resonators
- Entanglement of macroscopic test masses and the Standard Quantum Limit in laser interferometry
- Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
- Measurement based entanglement under conditions of extreme photon loss
- Feedback Cooling of a Single Neutral Atom
- Quantum simulations based on measurements and feedback control
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- Criterion of quantum synchronization and controllable quantum synchronization based on an optomechanical system
- Jumptime unraveling of Markovian open quantum systems
- Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement
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- On-demand maximally entangled states with a parity meter and continuous feedback
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