Qubit-environment Negativity versus Fidelity of conditional environmental states for an NV-center spin qubit interacting with a nuclear environment

Abstract

We study the evolution of qubit-environment entanglement, quantified using Negativity, for NV-center spin qubits interacting with an environment of ${}^{13}$C isotope partially polarized nuclear spins in the diamond lattice. We compare it with the evolution of the Fidelity of environmental states conditional on the pointer states of the qubit, which can serve as a tool to distinguish between entangling and non-entangling decoherence in pure-dephasing scenarios. The two quantities show remarkable agreement during the evolution in a wide range of system parameters, leading to the conclusion that the amount of entanglement generated between the qubit and the environment is proportional to the trace that the joint evolution leaves in the environment.

arXiv comment8 pages, 5 figures

References in corpus (58)

• Quantum entanglement
• Separability Criterion for Density Matrices
• A computable measure of entanglement
• Decoherence, einselection, and the quantum origins of the classical
• Quantum sensing
• Separability of Mixed States: Necessary and Sufficient Conditions
• The logarithmic negativity: A full entanglement monotone that is not convex
• Separability criterion and inseparable mixed states with positive partial transposition
• Mixed-state entanglement and distillation: is there a ``bound'' entanglement in nature?
• 14-qubit entanglement: creation and coherence
• Optimized Dynamical Decoupling in a Model Quantum Memory
• 1/f noise: implications for solid-state quantum information
• Measures and dynamics of entangled states
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Theory of electron spin decoherence by interacting nuclear spins in a quantum dot
• Ab initio supercell calculations on nitrogen-vacancy center in diamond: its electronic structure and hyperfine tensors
• Open-System Dynamics of Entanglement
• Computing quantum discord is NP-complete
• Nanoscale NMR Spectroscopy and Imaging of Multiple Nuclear Species
• Quantum theory for electron spin decoherence induced by nuclear spin dynamics in semiconductor quantum computer architectures: Spectral diffusion of localized electron spins in the nuclear solid-state environment
• Measuring entanglement entropy of a generic many-body system with a quantum switch
• Decoherence and dynamical decoupling control of nitrogen-vacancy center electron spins in nuclear spin baths
• Detecting and polarizing nuclear spins with double resonance on a single electron spin
• Partial Teleportation of Entanglement in the Noisy Environment
• Scaling of Dynamical Decoupling for Spin Qubits
• Pure quantum dephasing of a solid state electron spin qubit in a large nuclear spin bath coupled by long-range hyperfine-mediated interactions
• Gate fidelity and coherence of an electron spin in a Si/SiGe quantum dot with micromagnet
• Separability in 2xN composite quantum systems
• Operational criterion and constructive checks for the separability of low rank density matrices
• Quantum many-body theory for electron spin decoherence in nanoscale nuclear spin baths
• Bulk Nuclear Polarization Enhanced at Room-Temperature by Optical Pumping
• Machine Learning Assisted Many-Body Entanglement Measurement
• Scanning probe microscopy with chemical contrast by nanoscale nuclear magnetic resonance
• Introduction to decoherence theory
• Environmental noise spectroscopy with qubits subjected to dynamical decoupling
• Local and bulk 13C hyperpolarization in NV-centered diamonds at variable fields and orientations
• Notch filtering the nuclear environment of a spin qubit
• Observation of micro-macro entanglement of light
• Complete disentanglement by partial pure dephasing
• Quantum and classical correlations in quantum Brownian motion
• Single Spin Magnetic Resonance
• Free-induction decay and envelope modulations in a narrowed nuclear spin bath
• Noiseless Quantum Circuits for the Peres Separability Criterion
• System-bath entanglement in nanothermodynamics
• Multi-spin-assisted optical pumping of bulk 13C nuclear spin polarization in diamond
• Decoherence and the Nature of System-Environment Correlations
• Robust techniques for polarization and detection of nuclear spin ensembles
• Characterization and measurement of qubit-environment entanglement generation during pure dephasing
• Method for universal detection of two-photon polarization entanglement
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• Heralded generation of a micro-macro entangled state
• Measurement of the excited-state transverse hyperfine coupling in NV centers via dynamic nuclear polarization
• 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
• Low field nuclear polarization using Nitrogen Vacancy centers in diamonds
• Entanglement entropy scaling in solid-state spin arrays via capacitance measurements
• Long coherence of electron spins coupled to a nuclear spin bath
• Mesoscopic Spin Systems as Quantum Entanglers

Cited by in corpus (7)

• A measure of qubit environment entanglement for pure dephasing evolutions
• Detection of entanglement during pure dephasing evolutions for systems and environments of any size
• Transfer and teleportation of system-environment entanglement
• Qubit-environment entanglement outside of pure decoherence: hyperfine interaction
• Quantifying environment non-classicality in dissipative open quantum dynamics
• Convex-roof entanglement measures of density matrices block diagonal in disjoint subspaces for the study of thermal states
• A signature of quantumness in pure decoherence control