Quantum trajectory equation for multiple qubits in circuit QED: Generating entanglement by measurement
arXiv:0812.0218 · doi:10.1139/P08-140
Abstract
In this paper we derive an effective master equation and quantum trajectory equation for multiple qubits in a single resonator and in the large resonator decay limit. We show that homodyne measurement of the resonator transmission is a weak measurement of the collective qubit inversion. As an example of this result, we focus on the case of two qubits and show how this measurement can be used to generate an entangled state from an initially separable state. This is realized without relying on an entangling Hamiltonian. We show that, for {\em current} experimental values of both the decoherence and measurement rates, this approach can be used to generate highly entangled states. This scheme takes advantage of the fact that one of the Bell states is decoherence-free under Purcell decay.
7 pages, 4 figures
References in corpus (17)
- Charge insensitive qubit design derived from the Cooper pair box
- Coupling Superconducting Qubits via a Cavity Bus
- Resolving photon number states in a superconducting circuit
- Quantum information processing with circuit quantum electrodynamics
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Suppressing Charge Noise Decoherence in Superconducting Charge Qubits
- Controlling the spontaneous emission of a superconducting transmon qubit
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Generating Single Microwave Photons in a Circuit
- Qubit-photon interactions in a cavity: Measurement induced dephasing and number splitting
- Observation of Berry's Phase in a Solid State Qubit
- Single artificial-atom lasing
- Dispersive regime of circuit QED: photon-dependent qubit dephasing and relaxation rates
- Quantum trajectory approach to circuit QED: Quantum jumps and the Zeno effect
- Quantum Interference of Photon Pairs from Two Trapped Atomic Ions
- Protocols for optimal readout of qubits using a continuous quantum nondemolition measurement
- Measurement of the decay of Fock states in a superconducting quantum circuit
Cited by in corpus (28)
- Circuit Quantum Electrodynamics
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
- Qubit-oscillator dynamics in the dispersive regime: analytical theory beyond rotating-wave approximation
- Entanglement Metrology Using a Joint Readout of Superconducting Qubits
- Dynamics of dispersive single qubit read-out in circuit quantum electrodynamics
- Tunable joint measurements in the dispersive regime of cavity QED
- Proposal for generating and detecting multi-qubit GHZ states in circuit QED
- One-step multi-qubit GHZ state generation in a circuit QED system
- Generating and stabilizing the GHZ state in circuit QED: Joint measurement, Zeno effect and feedback
- Reservoir Computing Approach to Quantum State Measurement
- Greenberger-Horne-Zeilinger generation protocol for N superconducting transmon qubits capacitively coupled to a quantum bus
- Continuous Measurement of a Non-Markovian Open Quantum System
- Measurement-Induced Long-Distance Entanglement of Superconducting Qubits using Optomechanical Transducers
- Undoing measurement-induced dephasing in circuit QED
- Qubit Parity Measurement by Parametric Driving in Circuit QED
- Deterministic creation and stabilization of entanglement in circuit QED by homodyne-mediated feedback control
- Quantum-tailored machine-learning characterization of a superconducting qubit
- Fast generation of multiparticle entangled state for flux qubits in a circle array of transmission line resonators with tunable coupling
- Coherent Feedback Improved Qubit Initialization in the Dispersive Regime
- Adiabatic Elimination of Gaussian Subsystems from Quantum Dynamics under Continuous Measurement
- Reducing quantum control for spin-spin entanglement distribution
- Measurement-induced two-qubit entanglement in a bad cavity: Fundamental and practical considerations
- Scalable two- and four-qubit parity measurement with a threshold photon counter
- Parity measurement of remote qubits using dispersive coupling and photodetection
- Measurement-induced entanglement of two transmon qubits by a single photon
- Measurement-Based Entanglement of Semiconductor Spin Qubits
- Single-step multipartite entangled states generation from coupled circuit cavities