Entanglement genesis under continuous parity measurement
arXiv:0809.3248 · doi:10.1103/PhysRevA.78.062322
Abstract
We examine the stochastic dynamics of entanglement for an uncoupled two-qubit system, undergoing continuous parity measurement. Starting with a fully mixed state, the entanglement is zero for a finite amount of time, when it is suddenly created, which we refer to as entanglement genesis. There can be further entanglement sudden death/birth events culminating in the formation of a fully entangled state. We present numerical investigations of this effect together with statistics of the entanglement genesis time in the weak measurement limit as well as the quantum Zeno limit. An analytic treatment of the physics is presented, aided by the derivation of a simple concurrence equation for Bell basis X-states. The probability of entanglement border crossing and mean first passage times are calculated for the case of measurement dynamics alone. We find that states with almost the same probability of entanglement border crossing can have very different average crossing times. Our results provide insights on the optimization of entanglement generation by measurement.
12 pages, 8 figures
References in corpus (30)
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Finite-Time Disentanglement via Spontaneous Emission
- Quantum oscillations in two coupled charge qubits
- Creation of entangled states of distant atoms by interference
- Cavity Loss Induced Generation of Entangled Atoms
- Dark periods and revivals of entanglement in a two qubit system
- Sudden Birth Versus Sudden Death of Entanglement in Multipartite Systems
- Dynamics of quantum entanglement
- Sudden Death of Entanglement: Classical Noise Effects
- Sudden Death of Entanglement of Two Jaynes-Cummings Atoms
- Two-particle Aharonov-Bohm effect and Entanglement in the electronic Hanbury Brown Twiss setup
- Qubit Disentanglement and Decoherence via Dephasing
- Undoing a weak quantum measurement of a solid-state qubit
- Uncollapsing of a quantum state in a superconducting phase qubit
- Delayed (sudden) birth of entanglement
- Selective quantum evolution of a qubit state due to continuous measurement
- Charge detection enables free-electron quantum computation
- Phonon decoherence of quantum entanglement: Robust and fragile states
- Complete disentanglement by partial pure dephasing
- Entanglement of solid-state qubits by measurement
- Parity meter for charge qubits: an efficient quantum entangler
- High fidelity measurement and quantum feedback control in circuit QED
- Robust generation of entanglement between two cavities mediated by short interactions with an atom
- Entangling spins by measuring charge: a parity-gate toolbox
- Quadratic Quantum Measurements
- Weak measurement and control of entanglement generation
- Generalized parity measurements
- Bell inequality violation versus entanglement in presence of local decoherence
- Enhancement of sudden death of entanglement for driven qubits
- Quantum Zeno stabilization in weak continuous measurement of two qubits
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- Deterministic entanglement of superconducting qubits by parity measurement and feedback
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- Tunable joint measurements in the dispersive regime of cavity QED
- Entanglement genesis by ancilla-based parity measurement in 2D circuit QED
- Quantum trajectories and their statistics for remotely entangled quantum bits
- Parity detection and entanglement with a Mach-Zehnder interferometer
- Detection and Manipulation of Majorana Fermions in Circuit QED
- Quantum trajectories of superconducting qubits
- Prediction and Characterization of Multiple Extremal Paths in Continuously Monitored Qubits
- Chaos in Continuously Monitored Quantum Systems: An Optimal Path Approach
- Always-On Quantum Error Tracking with Continuous Parity Measurements
- Initial Conditions and Entanglement Sudden Death
- On-demand maximally entangled states with a parity meter and continuous feedback
- Continuous measurement of a qudit using dispersively coupled radiation
- A Multi-Qubit Quantum Gate Using the Zeno Effect
- Generation and stabilization of Bell states via repeated projective measurements on a driven ancilla qubit
- Stabilizing two-qubit entanglement with dynamically decoupled active feedback
- Entanglement of a pair of quantum emitters via continuous fluorescence measurements: a tutorial
- Fighting decoherence in a continuous two-qubit odd or even parity measurement with a closed-loop setup
- Measurement-induced entanglement of two transmon qubits by a single photon
- Entanglement of two non-interacting qubits via a mesoscopic system
- Single-shot energetic-based estimator for entanglement in a half-parity measurement setup
- Noise-Canceling Quantum Feedback: non-Hermitian Dynamics with Applications to State Preparation and Magic State Distillation
- Experimental measurement of quantum first-passage-time distributions
- CDJ-Pontryagin Optimal Control for General Continuously Monitored Quantum Systems