Local Detection of Quantum Correlations with a Single Trapped Ion

Abstract

As one of the most striking features of quantum mechanics, quantum correlations are at the heart of quantum information science. Detection of correlations usually requires access to all the correlated subsystems. However, in many realistic scenarios this is not feasible since only some of the subsystems can be controlled and measured. Such cases can be treated as open quantum systems interacting with an inaccessible environment. Initial system-environment correlations play a fundamental role for the dynamics of open quantum systems. Following a recent proposal, we exploit the impact of the correlations on the open-system dynamics to detect system-environment quantum correlations without accessing the environment. We use two degrees of freedom of a trapped ion to model an open system and its environment. The present method does not require any assumptions about the environment, the interaction or the initial state and therefore provides a versatile tool for the study of quantum systems.

6 Pages, 5 Figures + 6 Pages, 1 Figure of Supplementary Material

References in corpus (10)

• Quantum computing with trapped ions
• Experimental quantum computing without entanglement
• Single-Spin Addressing in an Atomic Mott Insulator
• Controlled exchange interaction between pairs of neutral atoms in an optical lattice
• Quantum discord and quantum phase transition in spin chains
• Witness for initial system-environment correlations in open system dynamics
• Experimentally Witnessing the Quantumness of Correlations
• Measuring bipartite quantum correlations of an unknown state
• Local witness for bipartite quantum discord
• Generic features of the dynamics of complex open quantum systems: Statistical approach based on averages over the unitary group

Cited by in corpus (68)

• Non-Markovian dynamics in open quantum systems
• High Cooperativity Cavity QED with Magnons at Microwave Frequencies
• Operational Markov condition for quantum processes
• Controlling open quantum systems: Tools, achievements, and limitations
• Quantum discord and its allies: a review
• Quantum stochastic processes and quantum non-Markovian phenomena
• Completely Positive Divisibility Does Not Mean Markovianity
• Quantum discord and steering in top quarks at the LHC
• Revealing non-classicality of inaccessible objects
• Efficient entanglement criteria for discrete, continuous, and hybrid variables
• Characterizing quantum dynamics with initial system-environment correlations
• Quantum Discord and its Role in Quantum Information Theory
• Non-Markovian quantum dynamics: What is it good for?
• Quantum variance: a measure of quantum coherence and quantum correlations for many-body systems
• Observing information backflow from controllable non-Markovian multi-channels in diamond
• Experimental investigation of quantum correlations in a two-qutrit spin system
• 2D ion crystals in radiofrequency traps for quantum simulation
• Effective dynamics of disordered quantum systems
• Mixing-induced quantum non-Markovianity and information flow
• A Single-Ion Trap with Minimized Ion-Environment Interactions
• Probing Quantum Memory Effects with High Resolution
• Two-step procedure to discriminate discordant from classical correlated or factorized states
• Entanglement assisted probe of the non-Markovian to Markovian transition in open quantum system dynamics
• Local probe of single phonon dynamics in warm ion crystals
• Extracting Information from Qubit-Environment Correlations
• Generalized trace distance approach to quantum non-Markovianity and detection of initial correlations
• Reduced dynamical maps in the presence of initial correlations
• Non-Markovianity of Quantum Brownian Motion
• Experimental detection of polarization-frequency quantum correlations in a photonic quantum channel by local operations
• Markovianization with approximate unitary designs
• Observing a Quantum Phase Transition by Measuring a Single Spin
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Initial Correlations in Open Quantum Systems: Constructing Linear Dynamical Maps and Master Equations
• Quantum Phase Transitions detected by a local probe using Time Correlations and Violations of Leggett-Garg Inequalities
• Hyper- and hybrid nonlocality
• Quantum transitions and quantum entanglement from Dirac-like dynamics simulated by trapped ions
• Detecting non-Markovianity via uncertainty relations
• Memory Effects in Quantum Processes
• Correlated quantum machines beyond the standard second law
• Assessing non-Markovian dynamics through moments of the Choi state
• Direct spectroscopy of the ${}^2$S${}_{1/2}{-}^2$P${}_{1/2}$ and ${}^2$D${}_{3/2}{-}^2$P${}_{1/2}$ transitions and observation of micromotion modulated spectra in trapped \Ca
• Preserving quantum correlations and coherence with non-Markovianity
• Measuring quantumness: from theory to observability in interferometric setups
• Quantum phase transitions in networks of Lipkin-Meshkov-Glick models
• On the relevance of weak measurements in dissipative quantum systems
• Open-System Quantum Error Correction
• Detecting quantum steering in networks
• Schrödinger cat and Werner state disentanglement simulated by trapped ion systems
• Entanglement distribution and quantum discord
• Distinguishing between statistical and systematic errors in quantum process tomography
• Phase-space elementary information content of confined Dirac spinors
• Distributed thermal tasks on many-body systems through a single quantum machine
• Detecting Initial System-Environment Correlations in Open Systems
• Discrimination of correlated and entangling quantum channels with selective process tomography
• The local detection method: Dynamical detection of quantum discord with local operations
• Nonlinear response theory for lossy superconducting quantum circuits
• Revealing correlations between a system and an inaccessible environment
• Dirac bi-spinor entanglement under local noise and its simulation by Jaynes-Cummings interactions
• Purely quantum memory in closed systems observed via imperfect measurements
• Equilibration and Typicality in Quantum Processes
• The initial system-bath state via the maximum-entropy principle
• Channel Discord and Distortion
• Non-Markovian steady states of a driven two-level system
• Pumping current in a non-Markovian $N$-state model
• Realization of Trapped Ion Dynamics in the Strong-Field Regime and Non-Markovianity
• Adapted projection operator technique for the treatment of initial correlations
• Measure of quantum Fisher information flow in multi-parameter scenario
• Detecting Initial System-Environment Correlations from a Single Observable