Decay of Entanglement for Solid-State Qubits

Abstract

We investigate the time evolution of entanglement under various models of decoherence: A general heuristic model based on local relaxation and dephasing times, and two microscopic models describing decoherence of electron spin qubits in quantum dots due to the hyperfine interaction with the nuclei. For each of the decoherence models, we investigate and compare how long the entanglement can be detected. We also introduce filtered witness operators, which extend the available detection time, and investigate this detection time for various multipartite entangled states. By comparing the time required for detection with the time required for generation and manipulation of entanglement, we estimate for a range of different entangled states how many qubits can be entangled in a one-dimensional array of electron spin qubits.

12 pages, 5 figures

References in corpus (54)

• Quantum entanglement
• Quantum Computation with Quantum Dots
• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Three qubits can be entangled in two inequivalent ways
• Spins in few-electron quantum dots
• Entanglement detection
• Persistent entanglement in arrays of interacting particles
• Single-shot read-out of an individual electron spin in a quantum dot
• Measurement-based quantum computation with cluster states
• Decoherence, the measurement problem, and interpretations of quantum mechanics
• Driven coherent oscillations of a single electron spin in a quantum dot
• Scalable multi-particle entanglement of trapped ions
• Coherent control of a single electron spin with electric fields
• Electron spin relaxation by nuclei in semiconductor quantum dots
• Electron spin decoherence in quantum dots due to interaction with nuclei
• Bell Inequalities and the Separability Criterion
• Optimization of entanglement witnesses
• Experimental entanglement of six photons in graph states
• Four qubits can be entangled in nine different ways
• Classification of mixed three-qubit states
• Control and Detection of Singlet-Triplet Mixing in a Random Nuclear Field
• Witnessing multipartite entanglement
• Triplet-Singlet Spin Relaxation via Nuclei in a Double Quantum Dot
• Spin-flip transitions between Zeeman sublevels in semiconductor quantum dots
• Phonon-induced decay of the electron spin in quantum dots
• Hyperfine interaction in a quantum dot: Non-Markovian electron spin dynamics
• Gate-Controlled Spin-Orbit Quantum Interference Effects in Lateral Transport
• Zeeman energy and spin relaxation in a one-electron quantum dot
• Detecting Genuine Multipartite Entanglement with Two Local Measurements
• Relaxation, dephasing, and quantum control of electron spins in double quantum dots
• Single-shot readout of electron spin states in a quantum dot using spin-dependent tunnel rates
• Stability of macroscopic entanglement under decoherence
• Detection of entanglement with few local measurements
• Experimental Observation of Four-Photon Entangled Dicke State with High Fidelity
• Quantifying Entanglement with Witness Operators
• Scaling laws for the decay of multiqubit entanglement
• Quantitative entanglement witnesses
• Decoherence in Solid State Qubits
• Estimating entanglement measures in experiments
• Robustness of Multi-Party Entanglement
• Experimental detection of entanglement via witness operators and local measurements
• Detection of multipartite entanglement in the vicinity of symmetric Dicke states
• Inductive Entanglement Classification of Four Qubits under SLOCC
• Multiparticle entanglement under the influence of decoherence
• Spin-Orbit Coupling, Antilocalization, and Parallel Magnetic Fields in Quantum Dots
• Single Spin Dynamics and Decoherence in a Quantum Dot via Charge Transport
• Robustness of Highly Entangled Multi-Qubit States Under Decoherence
• Investigating three qubit entanglement with local measurements
• Detecting entanglement using a double quantum dot turnstile
• Nuclear spin relaxation probed by a single quantum dot
• Estimating entanglement of unknown states
• Production of multipartite entanglement for electron spins in quantum dots
• Entanglement detection for electrons via witness operators

Cited by in corpus (6)

• Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics
• Sensitivity of the decay of entanglement of quantum dot spin qubits to the magnetic field
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots
• Entanglement loss in molecular quantum-dot qubits due to interaction with the environment
• Quantum Boltzmann equation for fermions: An attempt to calculate the NMR relaxation and decoherence times using quantum field theory techniques
• Some features of the state-space trajectories followed by robust entangled four-qubit states during decoherence