Qubit-environment entanglement in time-dependent pure dephasing

Abstract

We show that the methods for quantification of system-environment entanglement that were recently developed for interactions that lead to pure decoherence of the system can be straightforwardly generalized to time-dependent Hamiltonians of the same type. This includes the if-and-only-if criteria of separability, as well as the entanglement measure applicable to qubit systems, and methods of detection of entanglement by operations and measurements performed solely on the system without accessing the environment. We use these methods to study the nature of the decoherence of a qubit-oscillator system. Qubit-oscillator entanglement is essential for developing bosonic quantum technology with quantum non-Gaussian states and its applications in quantum sensing and computing. The dominating bosonic platforms, trapped ions, electromechanics, and superconducting circuits, are based on the time-dependent gates that use such entanglement to achieve new quantum sensors and quantum error correction. The step-like time-dependence of the Hamiltonian that is taken into account allows us to capture complex interplay between the build-up of classical and quantum correlations, which could not be replicated in time-independent scenarios.

9 pages, 3 figures

References in corpus (51)

• A computable measure of entanglement
• Decoherence, einselection, and the quantum origins of the classical
• The logarithmic negativity: A full entanglement monotone that is not convex
• Quantum Resource Theories
• Programmable Quantum Simulations of Spin Systems with Trapped Ions
• Quantum Darwinism
• Verified Quantum Information Scrambling
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Objective properties from subjective quantum states: Environment as a witness
• High-fidelity entanglement between a trapped ion and a telecom photon via quantum frequency conversion
• A four-party unlockable bound-entangled state
• Fast Universal Control of an Oscillator with Weak Dispersive Coupling to a Qubit
• Quantum simulation of the quantum Rabi model in a trapped ion
• A scheme for direct detection of qubit-environment entanglement generated during qubit pure dephasing
• Gated conditional displacement readout of superconducting qubits
• Environment as a Witness: Selective Proliferation of Information and Emergence of Objectivity in a Quantum Universe
• Quantum control of bosonic modes with superconducting circuits
• Quantum origins of objectivity
• Proposed robust and high-fidelity preparation of excitons and biexcitons in semiconductor quantum dots making active use of phonons
• Observation of quantum interference between separated mechanical oscillator wavepackets
• Objectivity in the Photonic Environment Through State Information Broadcasting
• Coherence and entanglement of inherently long-lived spin pairs in diamond
• Noise-induced quantum synchronization
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• Preparing the bound instance of quantum entanglement
• Programmable quantum simulations of bosonic systems with trapped ions
• Monitoring of the process of system information broadcasting in time
• Entanglement-Optimal Trajectories of Many-Body Quantum Markov Processes
• Robustness of Entanglement as a Resource
• Objectivity in non-Markovian spin-boson model
• Complementarity Reveals Bound Entanglement of Two Twisted Photons
• Phonon-induced enhancement of photon entanglement in quantum dot-cavity systems
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• Two-Photon Excitation Sets Limit to Entangled Photon Pair Generation from Quantum Emitters
• Equivalence of qubit-environment entanglement and discord generation via pure dephasing interactions and the consequences thereof
• Criteria for system-environment entanglement generation for systems of any size in pure-dephasing evolutions
• How to detect qubit-environment entanglement generated during qubit dephasing
• Entanglement and objectivity in pure dephasing models
• (Anti-)Zeno-based dynamical control of the unfolding of quantum Darwinism
• Bound entangled states fit for robust experimental verification
• A superconducting qubit with noise-insensitive plasmon levels and decay-protected fluxon states
• Decoherence of Nuclear Spins in the Proximity of Nitrogen Vacancy Centers in Diamond
• Entanglement generation between a charge qubit and its bosonic environment during pure dephasing - dependence on environment size
• The relation between the quantum discord and quantum teleportation: the physical interpretation of the transition point between different quantum discord decay regimes
• A measure of qubit environment entanglement for pure dephasing evolutions
• Purifying teleportation
• Qubit-environment entanglement generation and the spin echo
• Transfer and teleportation of system-environment entanglement
• A glimpse of objectivity in bipartite systems for non-entangling pure dephasing evolutions
• Investigating bound entangled two-qutrit states via the best separable approximation
• A signature of quantumness in pure decoherence control