The dynamics of two entangled qubits exposed to classical noise: role of spatial and temporal noise correlations

Abstract

We investigate the decay of two-qubit entanglement caused by the influence of classical noise. We consider the whole spectrum of cases ranging from independent to fully correlated noise affecting each qubit. We take into account different spatial symmetries of noises, and the regimes of noise autocorrelation time. The latter can be either much shorter than the characteristic qubit decoherence time (Markovian decoherence), or much longer (approaching the quasi-static bath limit). We express the entanglement of two-qubit states in terms of expectation values of spherical tensor operators which allows for transparent insight into the role of the symmetry of both the two-qubit state and the noise for entanglement dynamics.

16 pages, 6 figures

References in corpus (16)

• Finite-Time Disentanglement via Spontaneous Emission
• 14-qubit entanglement: creation and coherence
• Sudden Death of Entanglement
• Universal dynamical decoupling of a single solid-state spin from a spin bath
• Sudden Death of Entanglement: Classical Noise Effects
• Open-System Dynamics of Entanglement
• Entanglement dynamics of two independent qubits in environments with and without memory
• Suppressing qubit dephasing using real-time Hamiltonian estimation
• Dephasing of solid-state qubits at optimal points
• Spin interactions, relaxation and decoherence in quantum dots
• Fast quantum noise in Landau-Zener transition
• Decoherence of a qubit by non-Gaussian noise at an arbitrary working point
• Disentanglement and decoherence in two-spin and three-spin systems under dephasing
• Effective dephasing for a qubit interacting with a transverse classical field
• Effects of low-frequency noise cross-correlations in coupled superconducting qubits
• Dynamics of entanglement of two electron spins interacting with nuclear spin baths in quantum dots

Cited by in corpus (14)

• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Spectroscopy of cross-correlations of environmental noises with two qubits
• Non-Markovian dynamics of single- and two-qubit systems interacting with Gaussian and non-Gaussian fluctuating transverse environments
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
• How to detect qubit-environment entanglement generated during qubit dephasing
• Noise representations of open system dynamics
• Environmental noise effects on entanglement fidelity of exchange-coupled semiconductor spin qubits
• Spectroscopy of classical environmental noise with a qubit subjected to projective measurements
• The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
• Problem of quantifying quantum correlations with non-commutative discord
• Decoherence-assisted detection of entanglement of two qubit states
• Invariance of success probability in Grover's quantum search under local noise with memory
• Quantum coherence and correlations in cold atom systems